In this triangle, what is the value of x?

Enter your answer, rounded to the nearest tenth, in the box.

In This Triangle, What Is The Value Of X?Enter Your Answer, Rounded To The Nearest Tenth, In The Box.

Answers

Answer 1

The value of angle x is 67 degree.

What is a Right Angled Triangle ?

A right angled Triangle is a triangle with one angle as 90 degree.

It is given that the for the angle x , the base of the triangle is 28 ft.

The hypotenuse = 72ft.

The trigonometric ratios can be used to find the value of x

cos x = 28 /72

x = cos⁻¹ (28/72)

x = 67 degree (Rounded off to nearest tenth)

Therefore the value of angle x is 67 degree.

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Related Questions

What is the rate of change of the amount earned with respect to hours worked for this function?

Answers

Answer:

72

Step-by-step explanation:

I got to get some bread for you guys

Answer:

I'll do it the answer is truthfully 72 if you don't think go check my page

Hii! would anyone mind helping me out?

Find the center of this hyperbola

[tex]\large\boldsymbol{9x^2-y^2-72x+8y+119=0}[/tex]

[tex]\bigstar[/tex]

[tex]\underbrace[/tex]

Answers

Answer:

(4, 4)

Step-by-step explanation:

This is the form of a hyperbola. Use this form to determine the values used to find vertices and asymptotes of the hyperbola.

[tex]\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2} = 1[/tex]

Match the values in this hyperbola to those of the standard form. The variable h represents the x-offset from the origin, k represents the y-offset from origin, a.

a = 1

b = 3

k = 4

h = 4

Thus,

[tex](x-4)^2 - \frac{(y-4)^2}{9} = 1[/tex]

The center of a hyperbola follows the form of (h, k). Substitute in the values of h and k.

= (4, 4)

lcm of 15,18,21
lcm of 56 84 140
lcm

Answers

Step-by-step explanation:

The lcm of first question is 630 and second is 840

Answer:

LCM of 15,18,21: 630

LCM of 56,84,140: 840

Step-by-step explanation:

The right method is to list all the multiples of the number and circle the least common ones. In this way you will get your answer for any LCM question!

Carly will be going to college in 3 years. she anticipates that she will need $12,000 to pay for the first year. she currently has $2,900 in a savings account. without including any interest earned, what is a reasonable estimate of the amount carly needs to deposit into the savings account per month over the next 3 years to be able to pay for her first year of college? $150 $250 $350 $450

Answers

The estimate of the amount carly needs to deposit into the savings account per month over the next 3 years to be able to pay for her first year of college is $250

Savings

Amount needed = $12,000Amount available = $2,900Number of months in three years = 12 × 3 = 36Amount of savings per week = x

12,000 = 2900 + 36x

12,000 - 2900 = 36x

9,100 = 36x

x = 9100 / 36

x = 252.777777777777

Approximately,

$250

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Answer:

The answer is B. $250

Step-by-step explanation:

Which exponential equation is equivalent to this logarithmic equation? (2)

Answers

Answer:

A. e⁴=x

Step-by-step explanation:

Log x=4 ➡️ e⁴=x or x= e⁴

Hope it helps

Which sequence of transformations would yield a trapezoid similar to the original trapezoid but not congruent?A)reflection and dilationB)reflection and rotationC)rotation and reflectionD)translation and rotation help please

Answers

The sequence of transformations will be relection and dilation. Then the correct option is A.

What is a transformation of geometry?

A spatial transformation is each mapping of feature shapes to itself and it maintains some spatial correlation between figures.

The sequence of transformations would yield a trapezoid similar to the original trapezoid but not congruent.

Reflection does not change the size and shape of the geometry.

Rotation does not change the size and shape of the geometry.

Translation does not change the size and shape of the geometry.

Dilation does not change the shape but changes the size of the geometry.

Then the correct option is A.

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Here is a rectangle.
A (-3,0)
D(-2,-3)
B (3,2)
C (4,-1) What is CD unit number?

Answers

Step-by-step explanation:

Let the area of rectangle with given points are as follows :

A(-3,3)

B(3,2)

C(4,-1) = C( x1,y1)

D(-2,-3) = D( x2, y2)

Now,

The distance of CD = root under

(x2-x)^2 +( y2 - y1)^2

= root under (-2-4)^2 + ( -3+1)^2

= root under (-6)^2 + (-2)^2

= root under 36 + 4

= root under 40

= 2root 10

Therefore; the unit number if CD is 2 root 10.

The first term of an arithmetic progres- sion is 3 and the last term is 9. Find the number of terms in the progression if the common difference is 3/2​

Answers

Answer:

5 terms

Step-by-step explanation:

The numbers will be 3, 4 1/2, 6, 7 1/2, and 9.

Where would 1.84 be on a number line?

Answers

Answer:

It is located to the right of the 0 on the line,

Step-by-step explanation:

the numbers are increasing going from left to right. 1.84 is located 1.84 from 0.

On a number line (which we will presume to be whole integers), 1.84 would be located definitely to the right of 0 because it is a positive decimal. In terms of full numbers, however, 1.84 would be located between integers 1 and 2, and it would be skewed closer to 2. Why? Well, 1.50 is representative of what would be considered halfway between 1 and 2. Because 1.84 is greater than 1.50, we know that 1.84 will be closer to 2 than it will be to 1. In terms of a widespread number line, between integers 1 - 10, 1.84 would be near the beginning, or further left side, of the number line because it is more than 1 but less than 2.

Your final answer: As far as a general number line, 1.84 will be located between 1 and 2, where it is skewed right more toward 2 than 1.

WILL GIVE BRAINLIEST!!!
For science class, Cora observed the growth of a pepper plant over time. Below is her log. How much taller was the pepper plant at the end of 4 weeks?

Growth of Plant
Start 3 inches
Week 1 5 inches
Week 2 7 inches
Week 3 9.5 inches
Week 4 11 inches

A. 6.75 inches

B. 7.5 inches

C. 8 inches

D. 10 inches

Answers

Answer:

c

Step-by-step explanation:

week 4 = 11

start = 3

11 - 3 = 8

answer is c

The correct Answer is: C. 8 inches

Step-by-step explanation:

If the plant started out at 3 inches and finished after 4 weeks at 11 inches, we can do 11-3 to find how much growth the pepper plant had.

11 - 3 = 8, therefore our answer is

C. 8 inches

Find the half line in days of Co-60. ROUND YOUR ANSWER TO THE NEAREST TENTH

Answers

The half life in days is  1924.0245 days.

What is half life?

Half life is the time taken for the radioactivity of a substance to fall to half its original value.

Given:

N= 8

N[tex]_0[/tex]= initial mass

t= in days

So, N= [tex]N_0e^{-kt}[/tex]

Putting the values we get

half value = 5.2713 years or 1924.0245 days

Hence, the half-life is 1924.0245 days.

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Pleaseeeeee helpppppp

Answers

They are both factors of 15x-10 because 5(3x-2)=15x-10

factor x factor=product.

In this case 15x-10 is the product

Select the true statement about triangle ABC.
13
5
12
A. sin C = sin A
B. sin C = cos B
C. sin C = tan A
D. sin C = cos A

Answers

Answer:

sin C = cos A

Step-by-step explanation:

sinC = opp/hyp

=12/13

cosA = adj/hyp

12/13

If x+y=4 and x-y=k, what does x equal?

If x+y-z=8 and x-y+z=12 then x=

If x=3b and y=2/6b+4, what is x in terms of y?

Answers

The values of x are (4+k)/2 and 10. The value of the variable x in terms of y is x = y -4

System of equations

These are equations that contains several equations and unknowns.

Given the following system of equation

x+y=4

x-y=k

Add both equation

x + x = 4 + k

2x = 4+k

x = (4+k)/2

For the equation  

x+y-z=8  

x-y+z=12

Add both equations

2x = 8 + 12

2x = 20

x = 10

The value of x from the equation is 10

Given the equations

x=3b

y = 2/6b+4,

______________

b = x/3

Substitute

y = 2/6(x/3)+4

y = x + 4

x = y - 4

Hence the value of the variable x in terms of y is x = y -4

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A man of height 1.5 m is standing in front of a tower of height 81.5 m. At what angle should he observe the top of the tower from the distance of 80 m?​

Answers

The angle at which the man should observe is 45 degrees.

To solve the question :

Given :

height of man = 1.5m

height of tower = 81.5 m

distance between tower and man = 80 m

Since, ABCD is a rectangle, AD = BC = 80m

Similarly, AB = CD = 1.5m

EC = ED + CD

81.5 = ED + 1.5

ED = 80m

Now, in order to find the angle EAD, we use trigonometric functions,

tan ∅ = perpendicular / base = ED / AD

tan ∅ = 80 /80 = 1

∅ = [tex]tan^{-1} (1)[/tex]

∅ = 45°.

Therefore, The angle at which the man should observe is 45 °.

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Prove the triangles a re similar

Answers

Step-by-step explanation:

LINE B.I is parallel to LINE O.D

therefore :Ô = Î ( alternate angles )

: Ď = B ( alternate angles )

In ️ B. I. G and ️ D O G

O = I ( alternate angles)D = B ( alternate angles)G = G ( 3rd angle of️ )

️ BIG is similar to ️ DOG

? Question The point (x, y) is first rotated 180° clockwise about the origin, translated 6 units to the left, and then reflected across the line y = x. Write a function S to represent the sequence of transformations applied to the point (x, y).

Answers

The function S to represent the sequence of transformations applied to the point (x, y) is  (-y, -x - 6)

Transformation of coordinates

Transformation is a technique used to change the position of an object on an xy-plane.

Given the coordinate (x, y)

Rotation of the coordinate by 180° clockwise about the origin will given;

(x, y) - > (-x, -y)

If the result is translated 6 units to the left, then;

(-x, -y) -> (-x-6, -y)

If it is then reflected across the line y = x, we will switch the coordinates to have:

(-x-6, -y) -> (-y, -x - 6)

The function S to represent the sequence of transformations applied to the point (x, y) is  (-y, -x - 6)

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Help Me Uhm In 5th Grade I'm behind in school work and I have to finish by august when my school starts pls help I'm stuck on this question

Answers

B

To find the average you add them all up and divide by how many numbers there are. 2+3+6+13+16=40 There are 5 numbers so 40/5=8

A would be 7 and c would be 9, so the answer is b.

y = 2x² - 9x + 10
solve the following quadratic function by factoring

Answers

hey there! ;)

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

please give it a like :)

What is the constant in the expression?

Answers

Answer:

12

Step-by-step explanation:

A constant in an expression is the number that is not attached to any variable, and this includes the sign that comes with the number.

0.05m +12

In the expression above, m is the variable thus 0.05 is known as the coefficient of m instead of a constant. Coefficients are numbers that are multiplied to variables.

+12, which can simply be written as 12, is not multiplied to any variable and is thus the constant.

The value of the number 12 will not change no matter the value of m. The fact that the value stays the same makes it a constant.

Additional:

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Answer: 12 ✅

Step-by-step explanation:

Hii, I'd love to help you! (:

This problem is about finding the constant in the expression. This is fun! Let's start our search...

____________________________________________

Wait, how can we find a constant if we don't even know what it is?

No reason to panic!

Constants

A constant is a number that is not added (or subtracted) from any variables (and a variable is a letter).

_____________________________________________

Ohh now it's easy as winking!

Because the only number in this particular expression that is not added to any letters at all is 12.

______________________________________________

Hope I helped! Best wishes.

Reach far. Aim high. Dream big.

[tex]\underbrace[/tex]

Describe the transformations of the graph of y=5 times 2^x-2+3 as compared to the graph of y=2^x

Answers

the transformations used are:

Dilation of scale factor 5.Shift of 2 units to the right.Shift of 3 units up.

Which transformations are used?

We start with the function:

[tex]f(x) = 2^x[/tex]

And we have the transformed function:

[tex]g(x) = 5*2^{x-2} + 3[/tex]

Bow, let's start with the original function f(x). If first we apply a vertical dilation of scale factor 5, then we have:

g(x) = 5*f(x).

Then we apply a shift of 2 units to the right, so we have:

g(x) = 5*f(x - 2)

Then we apply a shift of 3 units up, so we have:

g(x) = 5*f(x - 2) + 3

Replacing f(x) by the actual function:

[tex]g(x) = 5*2^{x-2} + 3[/tex]

Then the transformations used are:

Dilation of scale factor 5.Shift of 2 units to the right.Shift of 3 units up.

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A student is trying to solve the system of two equations given below:
Equation P: x+y=8
Equation Q: 2x + 5y = 24
Which of the following steps can be used to eliminate the x term?
02(x+y=8)
O-2(x+y=8)
O-1(2x + 5y = 24)
O-2(2x + 5y = 24)

Answers

Step-by-step explanation:

as the following pic answer should be × -2

Answer:

O -2(x+y=8)

Step-by-step explanation:

If you put the problems beside each other, they look like this;

2x + 5y = 24

  x + y = 8

So you are trying to find a way to simplify the x's

Step 1;

See if there are any numbers that you could multiply to the bottom problem that would help you get rid of the x specifically.

In this case, -2 would cancel out that other 2 right? Because if you added them, they cancel each other out; 2 -2 = 0

Step 2:

if you multiply, you have to do it to the entire problem;

-2(x + y = 8)    (-2 times x, -2 times y, -2 times 8)

-2x + -2y = -16

Step 3:

Go back to your original problem and work it out;

2x + 5y = 24

-2x + -2y = -16

2x and -2x cancel each other out so now you only have;

5y = 24

-2y = -16

Step 4:

Combine like terms;

5y = 24

-2y = -16

3y = 8

Divide by 3

y = 2.6

Ving tools to form the correct answer on the graph.
Graph the line that represents this equation:
y + 2 =
(x+2)
Drawing Tools
Select
Point
Line
Click on a tool to begin drawing.
10
N
27

Answers

The graph of the equation is shown in the attached picture which is a straight line.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have a graph of a equation:

y + 2 = (x+2)

or

y = x

The above equation is a linear equation or straight line equation the slope of the equation is 1.

m = 1

The y-intercept of the equation is 0.

We can plot the equation y = x by using the slope and y-intercept.

Thus, the graph of the equation is shown in the attached picture which is a straight line.

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Which solution set matches the equation on the graph?

Answers

Answer: C, {(1, -4), (4, -1)}

Step-by-step explanation: Where the two graphs meet are their solutions, and the points where they meet are {(1, -4),(4,-1)}.

C is the correct answer to this question I promise

What can each term of the equation be multiplied by to eliminate the fractions before solving?
1/2x-5/4+2x=5/6+x

Answers

Answer:

12

Step-by-step explanation:

WILL GIVE BRAINLYEST
Find measure of X and Y
X=

Y=

Part B:
Choose the correct degree measure for JKL
A. 98
B. 65.5
C. 262
D. 24.5

Answers

Part a
X=14
Y=8
Part b
C

Answer:

x = 7 y = 4 JKL = 262 degrees

Step-by-step explanation:

According to a circle theorem, sum of the opposite angles in a circle which touch its circumference must equal 180, hence:

7x + 131 = 180

x = 7

According to another theorem, a quadrilateral inside a circle must equal 360 so:

99 + 7(7) + 131 + 11(7) + y = 360

Note: remember to substitute 7 for all values of x

y = 4

The angle subtended by an arc at the centre is twice the angle subtended at the circumference

Following this rule, we can conclude that:

2(7x) or 2(2 x 7) = 2(49) which is 98

Lastly, 360 - 98 = 262

Find the common difference and the SIMPLIFIED general term formula.
3) a 14=1322 and a 38 = 3722

I reallyyyy need help!!! ASAP PLEASE!!!!!

Answers

Answer:

[tex]a_{n}[/tex] = 100n - 78

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₁₄ = 1322 and a₃₈ = 3722 , then

a₁ + 13d = 1322 → (1)

a₁ + 37d = 3722 → (2)

subtract (1) from (2) term by term to eliminate a₁

24d = 2400 ( divide both sides by 24 )

d = 100

substitute d = 100 into either of the 2 equations and solve for a₁

substituting into (1)

a₁ + 13(100) = 1322

a₁ + 1300 = 1322 ( subtract 1300 from both sides )

a₁ = 22

then nth term formula is

[tex]a_{n}[/tex] = 22 + 100(n - 1) = 22 + 100n - 100 = 100n - 78

Kyle claimed that the given quadrilaterals are similar because the ratio of their corresponding sides is equal. Is Kyle's claim Incorrect or correct? In two or more complete sentences, Justify your answer.

Answers

In square, all angles are of 90°, but in rhombus, opposite angles are equal, but adjacent angles are not equal. Kyle's claim is Incorrect.

What is a quadrilateral?

It is a polygon with four sides. The total interior angle is 360 degrees.

Kyle claimed that the given quadrilaterals are similar because the ratio of their corresponding sides is equal.

Kyle's claim is Incorrect. Because the shapes are square and rhombus.

In square, all angles are of 90°, but in rhombus, opposite angles are equal, but adjacent angles are not equal.

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The average monthly temperature of a city can be modeled by a
cosine graph. Melissa has been living in Phoenix, Arizona, where the
average annual temperature is 75°F. She would like to move, and live
in a location where the average annual temperature is 62°F. When
examining the graphs of the average monthly temperatures for
various locations, Melissa should focus on the

Answers

The average monthly temperature of a city can be modeled by a cosine graph, Melissa should focus on the Midline. This is further explained below.

What is Melissa's focus on the Midline.?

Generally, The average temperature would be indicated somewhere along the curve, most likely near the middle.

In conclusion, Melissa should concentrate on the Midline, which can be used to model the average monthly temperature of a city.

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What is the area of a sector with measure of arc equal to 90° and radius equal to 1 foot?

Answers

Answer:

0.7855 square feet

Step-by-step explanation:

90/360×3.142×1 squared

=0.7855

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