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3 years ago

12

You want to carpet your new living room. The area of your living room is 121 square feet. If your living room is perfectly squar

e, how long and wide is the carpet?

1 answer:

BlackZzzverrR [31]3 years ago

7 0

Answer:

We know area of a square = side× side

Let the length of each side of the square be s

s×s= 121 sq ft

s²= 121 sq.ft

s=√121

s= 11 ft

11 ft long and wide

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Please help ASAP

gtnhenbr [62]

Put the value of x = -2 to the equation of the function y = -4x + 3:

y = -4(-2) + 3 = 8 + 3 = 11

<h3>Answer: A. (-2, 11)</h3>

3 0

3 years ago

A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take

Allisa [31]

Answer:

1/30 of a ton

Step-by-step explanation:

Write this as an expression:

1/3 of a ton and 1/2 of a ton were taken to the site.

4/5 of a ton were remove from the site.

Amount of a ton at the site = $\frac{1}{3}+ \frac{1}{2}- \frac{4}{5}$

Solve the equation by finding <u>common denominators</u> (when the bottom numbers are the same).

$(\frac{1}{3}+ \frac{1}{2})- \frac{4}{5}$ Focus on the first part. The least common multiple (LCM) of 3 and 2 is "6", which will become the denominator.

For <u>1/3 to become ?/6</u>, multiply top and bottom by 2.

For <u>1/2 to become ?/6</u>, multiply top and bottom by 3.

$(\frac{2}{6}+ \frac{3}{6})- \frac{4}{5}$

Now we can add the numerators together over the same denominator.

$\frac{5}{6}- \frac{4}{5}$

Do the same thing as before and change the denominators. The LCM of 6 and 5 is "30".

For <u>5/6 to become ?/30</u>, multiply top and bottom by 5.

For <u>4/5 to become ?/30</u>, multiply top and bottom by 6.

$\frac{25}{30}- \frac{24}{30}$

Subtract the numerators:

$\frac{1}{30}$ Answer in tons

Therefore there was 1/30 of a ton of rock left at the construction site.

7 0

3 years ago

Read 2 more answers

Maggie is creating a cushion for a circular stool. The stool has a diameter of 14 inches. If she needs fabric to extend 2 inches

Marianna [84]

Answer:

396 in.^2

Step-by-step explanation:

The cushion is shaped like a cylinder with 14 inch diameter and 2 inch height.

We need to find the surface area of the cylinder.

diameter = 14 in.

radius = diameter/2 = 7 in.

height = 2 in.

A = 2(pi)r^2 + 2(pi)rh

A = 2(3.14159)(7 in.)^2 + 2(3.14159)(7 in.)(2 in.)

A = 395.84 in.^2

A = 396 in.^2

8 0

3 years ago

Finding area of shaded sectors.

tekilochka [14]

Answer:

69.81 sq. m. (rounded to 2 decimal places)

Step-by-step explanation:

The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:

$A=\frac{\theta}{360}*\pi r^2$

Where

$\theta$ is the central angle

r is the radius

Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:

$\theta = 80$

Also, the radius of the circle shown is 10 meters, so

r = 10

Now, we substitute in formula and find our answer:

$A=\frac{\theta}{360}*\pi r^2\\A=\frac{80}{360}*\pi (10)^2\\A=\frac{2}{9}*100\pi\\A=\frac{200\pi}{9}\\A=69.81$

Thus,

The area of the shaded sector is 69.81 sq. meters.

5 0

3 years ago

Can you please help me

kirill [66]

Answer:

b

Step-by-step explanation:

3 0

3 years ago