Find the value of x .

Answer:

area = 2184 ft²

Step-by-step explanation:

height² = 60² - 36² = 3600 - 1296 = 2304

height = √2304 = 48

base = 36 + x

x² = 73² - 48² = 5329 - 2304 = 3025

x = √3025 = 55

base = 36 + 55 = 91

area = 1/2(h)(b) = 1/2(48)(91) = 2184 ft²

Answer:

40 ft^2

Step-by-step explanation:

Think of the area of the green rectangle first. Then subtract the area of the smaller brown rectangles.

area of green carpet = 4 ft * 12 ft - 3 ft * 2 ft - 1 ft * 2 ft

area = 48 ft^2 - 6 ft^2 - 2 ft^2

area = 40 ft^2

Answer: 40 ft^2

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

The final polynomial after simplifying is -3g + 10k.

Option B is the correct answer.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

6g + 8k – 9g + 2k

Add like terms.

6g - 9g + 8k + 2k

-3g + 10k

Thus,

The final polynomial after simplifying is -3g + 10k.

Option B is the correct answer.

Learn more about polynomials here:

https://brainly.com/question/2284746

#SPJ2

Answer:

donuts:  $5.00

croissants: $9.00

Step-by-step explanation:

c - croissants

d - donuts

(1) 3d + 5c = 60        

(2) 4d + 5c = 65

solve for 5c in equation (1)

5c = 60 -3d

substitute 5c = 60-3d into (2)

4d + (60 - 3d) = 65

d + 60 = 65

d = 5      

to find c substitute d = 5 into (1)

3(5) + 5(c) = 60

15 + 5c = 60

5c = 45

c = 9

Answer:

0.2 pounds

Step-by-step explanation:

You can use unitary method:

To make 15 loaves of bread, flour needed is 3 pounds

To make 1 loaf of bread, flour needed is 3/15 pounds = 0.2 pounds

Answer:

The end behavior of f(x)=2/3x-2 is: as x->+ infinity, f(x)->+ infinity

as x->- infinity, f(x)->- infinity

Step-by-step explanation:

When you are asked about the end behavior of a function, look to see where the function is traveling on the graph. For instance, this graph is linear, so you should look to see if the slope is positive or negative. This linear function is positive, so as x is reaching positive infinity the f(x) would also be reaching positive infinity. As x is reaching negative infinity, f(x) would also be reaching negative infinity. The end behavior of a function describes the trend of the graph on the left and right side of the x- axis. (As x approaches negative infinity and as x approaches positive infinity).  

Answer:

174 rpm

Step-by-step explanation:

The question says that the speed is inversely proportional to the length. Thus, Inverse means, as the diameter increases, the speed reduces, or as the diameter reduces, the speed increases.

Thus, from the question, if diameter A is 20, and B is 10, then definitely, the speed will increase from 348 to a higher rate. Mathematically, we have

20 / 10 = 348 / x, where x is the missing speed.

2 = 348 / x

x = 348 / 2

x = 174 rpm

Therefore, the pulley A must have been running at a speed of 174 rpm

Answer:

5 2/5. 5 or 6, I'm not completely sure though.

Step-by-step explanation:

Answer:

Greatest common divisor (P,Q) ×  Least common multiple (P,Q) = PQ

Step-by-step explanation:

Given: Two numbers are P and Q

To prove: product of their greatest common divisor and their least common multiple is equal to PQ

Solution:

Consider the following relation:

Greatest common divisor (P,Q) ×  Least common multiple (P,Q) = Product of numbers P and Q

Therefore,

Greatest common divisor (P,Q) ×  Least common multiple (P,Q) = PQ

Answer:

Sec <K  = 37/12

Step-by-step explanation:

Given the following measure

∠L=90°

LK = 12

KJ = 37, and

JL = 35.

Considering angle K

JL = opposite

KJ =hypotenuse

LK = adjacent

Using SOH CAH TOA identity

Cos theta = adj/hyp

Cos m<K = LK/KJ

cos m<K = 12/37

Since sec theta = 1/cos thets

Sec <K = 1/cos<K

Sec <K = 1/(12/37)

Sec <K  = 37/12

Answer: 16 gallons

Step-by-step explanation:

Since we are given the information that 1/4 of the gas is left, it simply means that (1 - 1/4) = 3/4 has been used.

The tank was filled and this was 12 gallons of gas.

Let the gas that the tank hold be represented by x. Therefore,

3/4 of x = 12

3/4 × x = 12

0.75x = 12

x = 12/0.75

x = 16

The tank holds 16 gallons of gas.

Answer:

B. x = -4

E. x = 10

Step-by-step explanation:

[tex](x-3)^2=49 \\ \\ x - 3 = \pm \sqrt{49} \\ \\ x - 3 = \pm 7 \\ \\ x = 3 \pm 7 \\ \\ x = 3 + 7, \: \: x = 3 - 7, \\ \\ x = 10, \: \: x = - 4[/tex]

Answer:

c

Step-by-step explanation:

Answer:

volume = 160 cubic units

Step-by-step explanation:

volume = (6 x 4 x 5) + (4 x 2 x 5) = 160 cubic units

Answer:

both of the answers are C.

Answer:

-5

Step-by-step explanation:

[tex]\frac{12}{6} + 5 - 4(6) + 12 = -5[/tex]

Have a great day :)

Answer:

minimum

Step-by-step explanation:

Given a quadratic in standard form f(x) = ax² + bx + c ( a ≠ 0 )

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

f(x) = 3x² + 5x + 2 ← is in standard form

with a = 3

Since a > 0 then vertex is a minimum

Answer: 30

Step-by-step explanation: I think the height of the triangle is 30 cm because the rectangle has dimensions of 3 cm and 10 cm so I multiplied that which equals 30 then I thought 6 x 5 = 30 so 30 cm

btw, if i'm wrong please don't get mad, i'm trying my best lol

Answer:

H=10

Step-by-step explanation:

First, let's find the area of the rectangle:

L*W

the length is 3 and the height is 10 so substitute and you get:

10*3 = 30

now let's find what the area of the triangle should be:

B*H/2  =30(because the area is the same)

the base is 6 and the height is unknown, now lets fully substitute:

6H/2=30

3H=30

H=10

Hope this helps :)

Answer:

11 2/3 pounds

Step-by-step explanation:

If a pack contain 1 2/3 pounds, 7 packs would contain :

1 2/3 x 7

[tex]\frac{5}{3}[/tex] × 7 = 35/3 = 11 2/3 pounds

That is going to be a looong answer...

[tex]2324132352413142536 - \frac{1342536435241342536}{2.354254e} - 21 + 425364763524142536475[/tex]

and done

Answer:

It's A I think

Step-by-step explanation:

I guessed

Answer:

Trapezoid

Step-by-step explanation:

A triangle can be thought of as a trapezoid with one of the side length being 0.

Answer:

Parallelogram

Step-by-step explanation: "Surprisingly, this triangle (or any triangle) is related to a parallelogram." Found it in my text (Calvert Academy school)

Answer:

B.) C(d)= 12d+42

Step-by-step explanation:

A flat fee means it is only paid once and doesn't increase or decrease.

The gigabytes of data fluctuate how much you pay the 12 dollar amount.

Meaning 12d represents the price of data and +42 shows the flat rate.

Overall giving us the equation C(d)= 12d+42.

Answer:

Step-by-step explanation:

5(x+1), when expanded, becomes 5x + 5, which is ot the same as 5x + 1.

Answer:

1

Step-by-step explanation:

Answer:

14 possible outcomes

Step-by-step explanation:

It is given that :

There are 8 black cards numbered 1 through 8.

Therefore, Black 1, Black 2, Black 3, Black 4, Black 5, Black 6, Black 7, Black 8.

And there are 6 red cards numbered 1 through 6.

Therefore, Red 1, Red 2, Red 3, Red 4, Red 5, Red 6.

So the total number of cards is 8 + 6 = 14 cards.

So, there will be 14 possible outcomes if we choose a card randomly.

Answer:

Step-by-step explanation:

The y intercept cannot possibly where it is shown. The slope is correct. The line is going from the lower left to the upper right, and the 3 makes the line closer to the y axis. For example if x = 1 then y = 3*1+2 = 5.

If x = 2, then y = 3*2 + 2 = 8 so each move of x makes a huge difference in where y is.

So lets go back to the y intercept. When x = 0, then y = 2. y = 2 is about the x axis, not below it.

Shona's drawn line cannot be the representation of her equation y = 3x + 2, as the y-intercept of her drawn line is negative, while the y-intercept of the equation is positive (b = 2).

The equation of a line of the form y = mx + b shows a line on the coordinate plane, where for every value of x, we get a particular value of y, and m is the slope of the line. The slope is the value of tan θ, where θ is the positive angle formed between the x-axis and the line. b is the y-intercept. The y-intercept is the value of y when x = 0. This signifies that the line passes through the point (0, b).

We are given an equation of a line y = 3x + 2, and a line of the coordinate plane.

We are asked to give the reason why the line on the plane is not the representation of the given equation.

The equation y = 3x + 2, when compared to the slope-intercept form of a line, y = mx + b, shows that the slope m = 3 and the y-intercept b = 2.

The line on the plane has a positive slope, so m = 3 can be its slope.

But the y-intercept of the drawn line is negative since it is below the origin. So b = 2 cannot be its y-intercept.

(Value of y is positive above the origin and negative below the origin)

(Value of x is positive to the right of the origin and negative to the left of the origin)

∴ Shona's drawn line cannot be the representation of her equation y = 3x + 2, as the y-intercept of her drawn line is negative, while the y-intercept of the equation is positive (b = 2).

Learn more about the equation of a line at

https://brainly.com/question/13763238

#SPJ2