If the sides of a rectangle are in the ratio 3:4 and the length of the diagonal is 10 cm, find the length of the sides

Answers

Answer 1

Answer: Let's use the Pythagorean theorem to solve this problem.

Let x be the common factor of the ratio 3:4, so the sides of the rectangle are 3x and 4x.

The Pythagorean theorem states that for any right triangle, the sum of the squares of the two shorter sides is equal to the square of the length of the hypotenuse (the longest side).

So, for the rectangle with sides 3x and 4x, we have:

(3x)^2 + (4x)^2 = (diagonal)^2

9x^2 + 16x^2 = 100

25x^2 = 100

x^2 = 4

Taking the square root of both sides, we get:

x = 2

Therefore, the sides of the rectangle are:

3x = 3(2) = 6 cm

4x = 4(2) = 8 cm

So, the length and width of the rectangle are 6 cm and 8 cm, respectively.


Related Questions

It costs $50 a year to be member of an online gaming service. The membership allows you to play games online for free; however, you will still need to purchase games for $60 each. If you can purchase up to 6 games a year, which are the domain and range of this linear function?



A. Domain: All real numbers


Range: All real numbers



B. Domain: {50, 110, 170, 230, 280, 340}


Range: {0, 1, 2, 3, 4, 5, 6}



C. Domain: {0, 1, 2, 3, 4, 5, 6}


Range: {50, 110, 170, 230, 290, 350, 410}



D. Domain: {0, 1, 2, 3, 4, 5, 6}


Range: {60, 160, 210, 270, 320, 380}

Answers

The correct answer is C.

The cost of membership is fixed at $50 per year, and the cost of purchasing games is $60 each. If you purchase up to 6 games a year, the cost of each purchase will be $60, and the total cost of membership and games will be $50 + ($60 x number of games purchased).

The function that relates the number of games purchased to the total cost is:

Total cost = 50 + 60(number of games purchased)

Now, let's consider the options provided:

A. Domain: All real numbers

Range: All real numbers

This is not a valid option since the domain and range are not restricted to the given context.

B. Domain: {50, 110, 170, 230, 280, 340}

Range: {0, 1, 2, 3, 4, 5, 6}

This option does not represent the relationship between the number of games purchased and the total cost correctly.

C. Domain: {0, 1, 2, 3, 4, 5, 6}

Range: {50, 110, 170, 230, 290, 350, 410}

This option correctly represents the relationship between the number of games purchased and the total cost. The domain represents the number of games purchased (up to 6), and the range represents the total cost (membership fee + cost of games).

D. Domain: {0, 1, 2, 3, 4, 5, 6}

Range: {60, 160, 210, 270, 320, 380}

This option represents the cost of games purchased only, and does not include the cost of membership.

To know more about sets and relation refer here

https://brainly.com/question/16518668#

#SPJ11

Bilquis is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 29 meters from the building. The angle of elevation from her eyes to the roof (point A) is 17°, and the angle of elevation from her eyes to the top of the antenna (point B) is 31º. If her eyes are 1. 51 meters from the ground, find the heigh[of the antenna (the distance from point A to point B). Round your answer to the nearest meter if necessary. ​

Answers

The height of the antenna is approximately 17 meters.

To solve for the height of the antenna, we need to use trigonometry. Let's call the height of the antenna "h".

First, we need to find the distance from point A to point B. We can use the angle of elevation from her eyes to the roof (17°) and the horizontal distance from the building (29m) to find the height of the building.

tan(17°) = height of building / 29m

height of building = 29m * tan(17°)

height of building = 8.20m

Now we can use the height of the building and the angle of elevation from her eyes to the top of the antenna (31°) to find the distance from point A to point B.

tan(31°) = h / 29m + 8.20m

h = (29m + 8.20m) * tan(31°)

h = 15.51m

Finally, we need to add the height of Bilquis' eyes to the height of the antenna to find the total height.

total height = h + 1.51m

total height = 17.02m

Therefore, the height of the antenna is approximately 17 meters.

Learn more about "height": https://brainly.com/question/12446886

#SPJ11

How do I solve a Pythagorean triangle of 7 squared + 2 squared and then the number after what would it be when u square root it

Answers

To solve a Pythagorean triangle of 7 squared + 2 squared, you need to use the Pythagorean theorem.

The Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the unknown side, which we'll call x. So, we have:

7² + 2² = x²

Simplifying this equation, we get:

49 + 4 = x²

53 = x²

To find the value of x, we need to take the square root of both sides:

√53 = x

So the answer to the problem is √53. When you square root it, you get a decimal approximation of approximately 7.28.

In summary, to solve a Pythagorean triangle, you need to use the Pythagorean theorem and find the square root of the sum of the squares of the other two sides to find the length of the unknown side.

Learn more about Pythagorean theorem here: https://brainly.com/question/28981380

#SPJ11

are 4(5k – 3) and 14k – 8 equivalent
help please

Answers

Answer: No they are not

Step-by-step explanation:

Distribute the 4 from the left equation into the parenthesis.

you would get 20k - 12

that is not equivalent to 14k - 8

A company manufactures and sells x microwaves per month. The monthly price-demand equation is: p(x) = 280 – 0.4z (a) Assuming that the manufacture would like to charge between $100 and $500 for microwaves, find the price that maximizes the revenue. (b) What is the maximum revenue from selling microwaves?

Answers

The price that maximizes revenue for the given monthly price-demand equation with price range between $100 and $500 is $220.

(b) The maximum revenue from selling microwaves can be found by multiplying the price that maximizes revenue by the corresponding quantity of microwaves sold. Using the price-demand equation p(x) = 280 - 0.4x, we can find the quantity that corresponds to the price that maximizes revenue as follows:p(x) = 280 - 0.4x220 = 280 - 0.4x0.4x = 60x = 150Therefore, the quantity that corresponds to the price that maximizes revenue is x = 150. The maximum revenue can be found by multiplying the price and quantity:Revenue = Price * QuantityRevenue = $220 * 150Revenue = $33,000Therefore, the maximum revenue from selling microwaves is $33,000.

For more similar questions on topic  revenue

https://brainly.com/question/16232387

#SPJ11

Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x + 9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9

Answers

Answer:

Inga can use the following steps to solve the quadratic equation 2x^2 + 12x - 3 = 0:

Divide both sides by 2 to simplify the equation: x^2 + 6x - 3/2 = 0.Add 3/2 to both sides to eliminate the constant term on the left-hand side: x^2 + 6x = 3/2.Complete the square by adding (6/2)^2 = 9 to both sides: x^2 + 6x + 9 = 3/2 + 9.Factor the left-hand side as a perfect square: (x + 3)^2 = 27/2.Take the square root of both sides, remembering to include both the positive and negative square roots: x + 3 = ±√(27/2).Simplify the square root: √(27/2) = (√27/√2) = (3√3/√2).Subtract 3 from both sides: x = -3 ± (3√3/√2).Rationalize the denominator by multiplying the numerator and denominator of the second term by √2: x = -3 ± (3√6/2).

Therefore, the steps that Inga could use to solve the quadratic equation are:

2(x^2 + 6x + 9) = -3 + 2(9) (Option 1)

2(x^2 + 6x) = 3 (Option 2)

x + 3 = ±√(27/2) (Option 3)

Learn more about Quadratic Formulas here:

https://brainly.com/question/9300679

PLS HELP ME WITH THIS 2. QUESTIONS, 50 POINTS

( The first 2 images are from the first question, the other one is from the second)

Answers

Answer:  B   g(x)=1/4f(x)    odd

Step-by-step explanation:

First Page:

Points from the graph

Points from f(x)                         points from g(x)

(1,2)                                                (1, 1/2)

(4, 16)                                             (4, 4)

f(x) was multiplied by 1/4 to get to g(x)

Second Page:

Even functions are symmetrical about the y-axis: . Odd functions are symmetrical about the x- and y-axis: f(x)=-f(-x).

lets test for even:  does f(x)=f(-x)   =>    f(1)=f(-1)  no   -2[tex]\neq[/tex]2

see image for plotted points

lets test for odd:  does f(x)= -f(-x)   =>    f(1) = -f(-1)  yes  -2 = -2

Answer:

[tex]\textsf{B)} \quad g(x)=\dfrac{1}{4}f(x)[/tex]

[tex]\textsf{B)} \quad \textsf{odd}[/tex]

Step-by-step explanation:

Functions f(x) and g(x) are exponential functions.

From inspection of the given points on both graphs:

f(4) = 16g(4) = 4

When x = 4, the y-value of function f(x) is four times the y-value of function g(x). Therefore, function g(x) is ¹/₄ of function f(x):

[tex]g(x)=\dfrac{1}{4}f(x)[/tex]

[tex]\hrulefill[/tex]

And even function is symmetric about the y-axis:

f(x) = f(-x) for all values of x.

According to the table, f(3) = -4 and f(-3) = 4.

Therefore, as f(x) ≠ f(-x), the function is not even.

An odd function is symmetric about the origin:

f(-x) = -f(x) for all values of x.

According to the table, f(-3) = 4 and f(3) = -4. So -f(3) = -(-4) = 4.

Therefore, as f(-3) = -f(3), the function is odd.

[tex]\hrulefill[/tex]

Learn more about transformations of functions here:

https://brainly.com/question/27650917

Learn more about odd and even functions here:

https://brainly.com/question/30104009

A rectangular mural measures 1 meter by 3 meters. Rebekah creates a new mural that is 0. 5 meters longer. What is the perimeter of Rebekah's new mural?

Answers

The perimeter of Rebakh's new mural is 9 meters.

Rebakh has created a new mural which is a rectangle. It is a two-dimensional shape with length and breadth. The original rectangular mural was having dimensions of 1 meter by 3 meters, but the mural Rebekah created was 0.5 meters longer than the original one.

So, now the new mural created by Rebakh has a width of (3 + 0.5 ) = 3.5 meters and a length of 1 meter. The perimeter is defined as the total length of the four sides of the rectangle. To find the perimeter, we will add up the length and width of the rectangle and multiply it by 2. The perimeter of the new mural, in this case, is 1 + 1 + 3.5 + 3.5 = 9 meters.

Therefore, the perimeter of Rebakh's new mural is 9 meters.

To know more about Mural:

brainly.com/question/30131969

#SPJ4


1. Mrs. Zimmerman is interested in learning about how much time seventh grade students at our school spend outdoors on a typical school day.
Select all the samples that are a part of the population. Justify your reasoning.


. The 20 students in a seventh grade math class.
B. The first 20 students to arrive at school on a particular day.
C. The seventh grade students participating in a science fair put on by the four middle schools in a school district.
D. The 10 seventh graders on the school soccer team.
E. The students on the school debate team.

Answers

A, c, D

Step-by-step explanation:

A) we can sample these 7th graders as we are looking to study 7th graders.

b) The first 20 students could be from any grade and so this option wouldn't work.

c) Involves 7th graders.

d) involves 7th graders

E) The students could be any grade level on the debate team so, this option wouldn't work.

In which of the following situations does order matter? Select all that apply

Answers

Answer:

Locker and Phone number

Step-by-step explanation:

Gym student grouped together with no thought doesnt matter, lunch menu doesn't need order, and a classroom seating chart doesn't really matter

Calculate the derivative of the following function, 4 y=sin(cos (8x)) ) Find the critical points of the following function f(x) = xVx+6"

Answers

The critical points of f(x) are x = -3 and x = 4.

Derivative of 4y = sin(cos(8x)):
We can find the derivative of the given function using the chain rule of differentiation. Let u = cos(8x), then we have:
y = sin(u)
dy/du = cos(u) (derivative of sin(u))
du/dx = -8sin(8x) (derivative of cos(8x) using chain rule)
dy/dx = dy/du * du/dx = cos(cos(8x)) * (-8sin(8x))
Therefore, the derivative of 4y = sin(cos(8x)) is:
dy/dx = -32sin(8x)cos(cos(8x))
Critical points of f(x) = x√(x+6):
To find the critical points of f(x), we need to find where the derivative of the function is equal to zero or undefined.
f(x) = x√(x+6)
f'(x) = (√(x+6) + x/2√(x+6))
To find the critical points, we need to set f'(x) equal to zero and solve for x:
(√(x+6) + x/2√(x+6)) = 0
Multiplying both sides by 2√(x+6), we get:
2x + 6 = -x√(x+6)
Squaring both sides, we get:
4[tex]x^2[/tex] + 24x + 36 = [tex]x^3[/tex] + 6[tex]x^2[/tex]
Rearranging, we get:
[tex]x^3[/tex] + [tex]2x^2[/tex] - 24x - 36 = 0
We can solve this cubic equation using numerical methods or by factoring.

By testing values, we can see that x = -3 is a root of the equation. Dividing the equation by (x+3), we get:
[tex]x^2[/tex]- x - 12 = 0
This quadratic equation can be factored as (x-4)(x+3) = 0.
For similar questions on critical points :

https://brainly.com/question/31017064

#SPJ11

The diagonals of quadrilateral ABCD intersect at E(0,2). ABCD has vertices at A(1,6) and B(-2,4). What must be the coordinates of C and D to ensure that ABCD is
a parallelogram?

Answers

Answer:

  C = (-1, -2)

  D = (2, 0)

Step-by-step explanation:

You want the coordinates of points C and D in parallelogram ABCD such that point E(0, 2) is the intersection of the diagonals. Given points are A(1, 6) and B(-2, 4).

Parallelogram

The diagonals of a parallelogram bisect each other. This means the point of intersection of the diagonals is the midpoint of each:

  E = (A +C)/2 . . . . . . . . . . . . . . . E is the midpoint of AC

  C = 2E -A = 2(0, 2) -(1, 6)

  C = (-1, -2)

and

  D = 2E -B = 2(0, 2) -(-2, 4) . . . . . using the same pattern

  D = (2, 0)

Help with problem in photo

Answers

Check the picture below.

Find the absolute maximum and absolute minimum values off on the given interval. f(x) = 3x^4 – 4x^3-12x^2 + 1, {-2, 3] absolute minimum value
absolute maximum value

Answers

The absolute maximum value of f(x) on the interval [-2,3] is 201 and occurs at x = -2, and the absolute minimum value of f(x) on the interval [-2,3] is -79 and occurs at x = 2.

To find the absolute maximum and absolute minimum values of f(x) on the interval [-2,3], we need to first find the critical points of the function and evaluate the function at these points as well as at the endpoints of the interval.

To find the critical points, we need to find where the derivative of the function equals zero or does not exist. Taking the derivative of f(x), we get:

f'(x) = 12x^3 - 12x^2 - 24x

Setting this equal to zero and factoring out 12x, we get:

12x(x^2 - x - 2) = 0

Using the quadratic formula to solve for x^2 - x - 2 = 0, we get:

x = -1, 0, 2

These are our critical points.

Now we evaluate f(x) at the critical points and the endpoints of the interval:

f(-2) = 201
f(-1) = 6
f(0) = 1
f(2) = -79
f(3) = 16

know more about quadratic formula here

https://brainly.com/question/9300679#

#SPJ11

The sum of twice a nuber,n, and 14 is 30.

Answers

2x+14=30

2x =30-14

2x=16

x =8

Answer:

8

Step-by-step explanation:

Twice means 2 so twice a number,n, means 2 times n thus 2n

sum means add so, 2n + 14

"is" means equal so 2n + 14 = 30

Solve for n:

2n=16

N=8

a city department of transportation studied traffic congestion on a certain highway. to encourage carpooling, the department will recommend a carpool lane if the average number of people in passenger cars on the highway is less than 2 . the probability distribution of the number of people in passenger cars on the highway is shown in the table. number of people 1 2 3 4 5 probability 0.56 0.28 0.08 0.06 0.02 based on the probability distribution, what is the mean number of people in passenger cars on the highway?

Answers

The mean number of people in passenger cars on the highway is 1.7 (approximately 2).

The mean of a probability distribution function is also known as Expectation of the probability distribution function.

The mean number of people in passenger cars (or expectation of number of people in passenger cars ) on the highway can be denoted as E(x) where x is the number of people in passenger cars on the highway.

Thus E(x) can be calculated as,

E(x) = ∑ [tex]x_{i} p_{i}[/tex] ∀ i= 1,2,3,4,5

where, [tex]p_{i}[/tex] is the probability of number of people in passenger cars on the highway

⇒ E(x) = (1)(0.56) + (2)(0.28) + (3)(0.08) + (4)(0.06) + (5)(0.02)

⇒ E(x) = 1.7

Hence the mean number of people in passenger cars on the highway is 1.7, which is less than 2.

To know more about mean (or, expectation) of a probability distribution here

https://brainly.com/question/29068283

#SPJ4

how many times can 2 go into 1742? please its for my homework due tomorrow

Answers

2 goes into 1742, 871 times.
871 times and that’s your answer to your question

How much will 3. 75 kg of meat cost at ?190. 00 per kilogram?

a. ?71250 b. ?7. 125 0 c. ?712. 50 d. ?7125. 0

Answers

3.75 kg of meat will cost 712.50, The correct answer is option (c).To determine how much 3.75 kg of meat will cost at ?190.00 per kilogram, you'll need to perform a multiplication using the given weight and price per kilogram, we need to :


1. Identify the weight of the meat: 3.75 kg.
2. Identify the cost per kilogram: ?190.00.
3. Multiply the weight (3.75 kg) by the cost per kilogram (?190.00).


3.75 kg × ?190.00/kg = 712.50
So, 3.75 kg of meat will cost ?712.50, which corresponds to option (c) in your list of possible answers. Remember to always check your calculations and units when solving problems like this to ensure accuracy.

To know more about multiplication click here

brainly.com/question/6281194

#SPJ11

Find the inverse for each relation: 4 points each 1. {(1,‐2), (2, 3),(3, ‐3),(4, 2)}

Answers

To find the inverse of a relation, we need to swap the x and y coordinates of each point. The inverse of the given relation is:

{(-2, 1), (3, 2), (-3, 3), (2, 4)}

Therefore, the inverse of the relation {(1,-2), (2,3), (3,-3), (4,2)} is {(-2,1), (3,2), (-3,3), (2,4)}.

PLS HELP ASAP 50 POINTS AND BRAINLEIST!!!
Explain how the arc BX, central angle BCX, and inscribed BNX are connected. what are the relationships between them?

Answers

Answer:

[tex]\overset{\frown}{BX}=\angle BCX=2\angle BNX[/tex]

Step-by-step explanation:

A chord is a straight line joining two points on the circle.

Therefore, the chords in the given diagram are BN and XN.

An inscribed angle is the angle formed (vertex) when two chords meet at one point on a circle.

Therefore, the inscribed angle in the given diagram is BNX.

An intercepted arc is the arc that is between the endpoints of the chords that form the inscribed angle.

Therefore, the intercepted arc in the given diagram is BX.

The radius is a straight line joining the center to a point on the circle.

Therefore, the radii in the given diagram are CB and CX.

The central angle of a circle is the angle formed at its center by two radii.

Therefore, the central angle in the given diagram is BCX.

[tex]\hrulefill[/tex]

The measure of the central angle of a circle is equal to the measure of the corresponding intercepted arc. Therefore:

    [tex]\angle BCX=\overset{\frown}{BX}[/tex]

According to the Inscribed Angle Theorem, the measure of an inscribed angle is half the measure of the intercepted arc. Therefore:

    [tex]\angle BNX=\dfrac{1}{2}\overset{\frown}{BX}[/tex]

So the relationship between the arc BX, the central angle BCX and the inscribed angle BNX is that both the arc and central angle are equal to twice the inscribed angle:

[tex]\overset{\frown}{BX}=\angle BCX=2\angle BNX[/tex]

Algebra 1. please help!!

Answers

Answer: f(t) = 2.4t - 500

Step-by-step explanation:

So first of all, we need how much she actually profits from each taco. She charges $3.25 per taco, but we cannot forget that it is not free to make a taco in the first place. It costs her $0.85 to make a taco. This means we have to subtract the 85 cents from the 3 dollars 25 cents, which means it ends up being $2.40, or as the answer choices have it, 2.4.

So now we know what the number of tacos is being multiplied by: 2.4.

2.4t is now the profit per taco multiplied by the number of tacos.

But we're not quite done yet.

She has a fixed expense of $500 a month, which means this has to be subtracted from her taco profits to find her true profit.

Putting all of this together, we get f(t)=2.4t - 500.

(t)= (profit per taco)(amount of tacos sold) - (fixed expenses)

Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 13)(0,13) and (5, 416)(5,416)

Answers

The exponential function in the form y = [tex]ab^x[/tex] that goes through the points (0, 13) and (5, 416) is y = 13 * [tex]2^x[/tex].

To write an exponential function in the form y = [tex]ab^x[/tex] that goes through the points (0, 13) and (5, 416), follow these steps:

1. Use the point (0, 13) to determine the value of a. Since the x-coordinate is 0, we have y = a * b⁰, which simplifies to y = a. Therefore, a = 13.

2. Use the point (5, 416) to determine the value of b. Plug in the values for x and y, as well as the value of a we just found: 416 = 13 * b⁵.

3. Solve for b: b⁵ = 416 / 13 = 32. Taking the fifth root of both sides, we get b = 2.

So, the exponential function in the form y = [tex]ab^x[/tex] that goes through the points (0, 13) and (5, 416) is y = 13 * [tex]2^x[/tex].

To know more about exponential function, refer to the link below:

https://brainly.com/question/28596571#

#SPJ11

A triangular prism is 36 millimeters long and has a triangular face with a base of 36 millimeters and a height of 24 millimeters. The other two sides of the triangle are each 30 millimeters. What is the surface area of the triangular prism?

Answers

The surface area of the triangular prism is

5752 square millimeters

How to find the surface area of the triangular prism

The surface area of the triangular prism is

= area of the two side rectangles + area of the base rectangles + area of the 2 triangles

= 2 * 36 * 30 + 36 * 36 + 2 * 1/2 * 36 * 24

= 2160 + 1296 + 1296

= 5752 square millimeters

Learn more about triangular prism at

https://brainly.com/question/29663752

#SPJ1

HELPPPPP FAST PLEASEEEE

Answers

Answer:

AEC is similar to BDC in terms of the type of triangle

That's all I can really say

I hope this helps :)

Do you pay less at Payless? Mary Ann and Abigail were shopping for prom shoes and wondered


how the prices at Payless compared to the prices


at Famous Footwear. At each store, they randomly


selected 30 pairs of shoes and recorded the price of


each pair. The table shows summary statistics for


the two samples of shoes. 28


Store


Mean


SD


Famous Footwear


$45. 66


$16. 54


Payless


$21. 39 $7. 47


Do these data provide convincing evidence at the


0. 05 significance level that shoes cost less


, on


average, at Payless than at Famous Footwear?


a =

Answers

To test whether shoes cost less on average at Payless than at Famous Footwear, we can conduct a two-sample t-test for the difference in means.

The null hypothesis is that there is no difference in the mean prices between the two stores, and the alternative hypothesis is that the mean price at Payless is less than the mean price at Famous Footwear.

We can calculate the t-statistic using the formula:

t = [tex](x1 - x2 - 0) / sqrt(s1^2/n1 + s2^2/n2)[/tex]

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Substituting the values given in the table, we get:

t =[tex](21.39 - 45.66 - 0) / sqrt((7.47^2/30) + (16.54^2/30))[/tex] = -10.78

The degrees of freedom for this test is (30-1) + (30-1) = 58.

Using a t-table or calculator, we find the p-value to be very small, much less than 0.05.

Therefore, we reject the null hypothesis and conclude that there is convincing evidence at the 0.05 significance level that shoes cost less on average at Payless than at Famous Footwear.

To know more about null hypothesis refer here

https://brainly.com/question/28920252#

#SPJ11

(3^6-3^8)/(9^4 -9^2)

Answers

Answer:

Step-by-step explanation:

First, let's simplify the numerator:

3^6 - 3^8 = 729 - 6561 = -5832

Now, let's simplify the denominator:

9^4 - 9^2 = 6561 - 81 = 6480

So, the expression simplifies to:

(-5832) / 6480 = -0.9

A 6 in.
D
X
F 6 in. G

Answers

The calculated value of x in the right triangle is 6

Calculating the value of x

from the question, we have the following parameters that can be used in our computation:

The right triangle

Where we have

x/6 = 6/x

To solve this equation, we can use the property of cross-multiplication.

So for the equation x/6 = 6/x, we can cross-multiply as follows:

x/6 = 6/x

x * x = 6 * 6

x^2 = 36

To solve for x, we need to take the square root of both sides of the equation:

√(x^2) = √36

x = 6

The value of x is 6

Read more about right triangles at

https://brainly.com/question/2437195

#SPJ1

the line is parallel to the graph of y=-1/2x-1 and contains the point (-4, 5)

Answers

The equation of the line parallel to the graph of y = (-1/2)x - 1 and containing the point (-4, 5) is y = (-1/2)x + 3.

What is the equation of the parallel line?

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation of the graph

y = (-1/2)x - 1

The equation of a line parallel to the graph of y = (-1/2)x - 1 will have the same slope as the given line, which is -1/2.

Now. using the point-slope form, we can find the equation of the line that passes through the point (-4, 5) with slope -1/2:

y - y1 = m(x - x1)

y - 5 = (-1/2)(x - (-4))

y - 5 = (-1/2)x - 2

y = (-1/2)x + 3

Therefore, the equation of the parallel line is y = (-1/2)x + 3.

Learn more about  equation of line here: brainly.com/question/2564656

#SPJ1

80.0% complete


question


a customer wants you to enlarge a photo to 234 its current height. the photo’s current height is 314 inches. what should its enlarged height be, in inches?

Answers

If the photo’s current height is 314 inches, the enlarged height should be approximately 547.6 inches (rounded to one decimal place), which is 80.0% larger than the current height.

To calculate the enlarged height, you need to find out the percentage increase in height from the current height to the desired height.

The desired height is 234 inches, which is 234/314 = 0.744 or 74.4% of the current height.

To find the actual enlarged height, you need to increase the current height by 74.4%.

Enlarged height = current height + (current height x percentage increase)
Enlarged height = 314 + (314 x 0.744)
Enlarged height = 314 + 233.616
Enlarged height = 547.616

Therefore, the enlarged height should be approximately 547.6 inches (rounded to one decimal place), which is 80.0% larger than the current height.

More on height: https://brainly.com/question/12074411

#SPJ11

Larry sold 300 items in his sports memorabilia shop. 5 of the items sold 6 were football items. 20% of the other items sold were baseball items. What percent of the total items sold were baseball items?

Answers

Approximately 21.3 percent of the total items sold were baseball items.

Out of the 300 items sold, 5 of them were football items, so the number of non-football items sold is:

300 - 5 = 295

We know that 20% of the non-football items sold were baseball items, so the number of baseball items sold is:

0.20 * 295 = 59

Therefore, the total number of baseball and football items sold is:

59 + 5 = 64

The percentage of total items sold that were baseball items is:

(64 / 300) * 100% = 21.3%

Therefore, approximately 21.3 percent of the total items sold were baseball items.

To learn more about percent, click here:

https://brainly.com/question/28670903

#SPJ11

Other Questions
What was the brooks sumner affair? Leaders have the ability to analyze complex data and identify O Finances O Conflict operations patterns Select the best response to the following questions. A company that is concerned with operational efficiency practices which management style? O Team O Impoverished O Authority-compliance Country club Help please!How many moles of C would you have if you had 7.77 x 1024 atoms of C? Show your work. HERE IS A HARD QUESTION , COULD U PLEASE ANSWER B PLEASE? I DID A ! 1ST ANSWER WOULD BE MARKED BRAINLIEST AND GET 5/5 WITH A THANKS! ILL ALSO COMMENT ON YOUR ANSWER ! BUT IF IT ISNT CORRECT , I WONT MARK BRAINLIEST! Thank you for your answers!!!! Bright Minds Toy Company prepared the following sales budget for the second quarter. Projected sales for each of the first three months of operations are as follows: Sales Budget April May June Cash Sales 45,000 49,000 70,000 Sales on Account 385,000 444,000 420,000 430,000 493,000 490,000 Bright Minds expects to collect 70% of the sales on account in the month of sale, 20% in the month following the sale, and the remainder in the second month following the sale. What is the ending accounts receivable balance that would be reported on the pro forma balance sheet prepared as of June 30? CL2A1 The value of play- task 1Describe the importance of play and how play supports CL2A1the development of young children. AC 1.1Include a range of play activities/examples to show thevalue of play to the young child's development in eachof the following five areas - AC 1.2: physicalsocialemotionalintellectuallanguage.Include in your examples of how play can be used tomeet children's individual needs. AC 1.3 Why did the United States government spend money to improve both the National HighwaySystem and the Interstate Highway System? How did the building of this system affect SouthCarolina's economy? The fact that tim cook's career at apple took him through the positions of manager of operations and coo prior to his appointment to ceo suggests that apple has what in place for its top-level managers? a. succession plans b. mission statements In a class of students, the following data table summarizes how many students passed a test and complete the homework due the day of the test. What is the probability that a student chosen randomly from the class passed the test and completed the homework? Passed the test Failed the test Completed the homework 11 3 Did not complete the homework 2 5 A sidewall of a building is shown below. Apply a formula to find the area of the wall. Consider two different potential projects at a company where you have worked, and do the following:Discuss the benefits and costs that you would consider in deciding which is better for the companyReflect on how information technology would affect this decision Part CWhat does the absolute value of the correlation coefficient say about the predictions in part B? How do you know? Writean explanation of about one to two sentences. BI U xFont SizesA-A-DEE 3Characters used: 0 / 15000Submito Would like some help with this question, please. 1. It is impossible to manufacture any product by mass production methods without someitems being defective. Most production facilities employ quality control specialists tostudy the proportion of a product being manufactured that is defective. Suppose a quality control engineer needs to keep defective items at 5% (or less). The engineer collects asample of 50 items manufactured and calculates the sample proportion (^ )of defectiveitems. (P)a. What is the population proportion of items manufactured that are defective? 3 IDENTIFIER a. Reprez les phrases complexes dansl'extrait suivant et recopiez-les. b. Encadrez chaqueproposition par des crochets. c. Indiquez commentles propositions sont relies.*ARLEQUIN, introduisant Dorante. - Ayez la bont, Monsieur,I de vous asseoir un moment dans cette salle. MademoiselleMarton est chez Madame et ne tardera pas descendre.DORANTE. - Je vous suis oblig.ARLEQUIN. - Si vous voulez, je vous tiendrai compagnie,de peur que l'ennui ne vous prenne; nous discourronsen attendant.DORANTE. - Je vous remercie, ce n'est point la peine, nevous dtournez point.propositicmaticalede phras1. JULIETjusqu'iciROMEO. -m'a prpas unque laMARIVAUX, Les Fausses Confidences, 1738.risqueJULIETsans cquan2. JUROM The reader can tell from the Article thatA. bouncy cats like hip-hop music and laid-back dogslike slow jamsB. cats and dogs that were surveyed did not likelistening to "Old McDonald"C. Spotify is certain that dogs will enjoy the handpickedmusic playlists more than catsD. cats and dogs living in the same house may havecompletely different tastes in music An organism that is eukaryotic, multicellular, and heterotrophic is. A square pyramid is contained within a cone such that the vertices of the base of the pyramid are touching the edge of the cone. They both share a height of 20 cm. The square base of the pyramid has an edge of 10 cm. Using 3.14 as the decimal approximation for T, what is the volume of the cone? 1046.35 cubic centimeters 2093.33 cubic centimeters O 4185.40 cubic centimeters 06280.00 cubic centimeters Pls Answer Soon!A college professor asked every student in his statistics class to flip a coin 100 times and report how many times the coin landed on heads. The results followed a normal distribution, with a mean of 50 and a standard deviation of 5. If there were 70 students in the class, how many of the students most likely got heads between 45 times and 60 times? Round your answer to the nearest whole number of students hello! are these correct?if you can not see my answers :1. right triangle 2. isosceles triangle3. equilateral triangle4. acute triangle 5. isosceles triangle6. right triangle( if im incorrect, please tell me the correct answer )