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Ludmilka [50]
3 years ago
13

The circumference of a circular rug is 24.8 meters. What is the area of the rug? Use 3.1 for pi

Mathematics
1 answer:
mestny [16]3 years ago
4 0

Answer:

The area of rug is 48.9 m^2

Step-by-step explanation:

Let's assume radius of rug is r m

we know formula for circumference as

C=2\pi r

we are given

C=24.8

and then we can solve for r

24.8=2\pi r

r=3.947

now, we can use area formula

A=\pi r^2

we can plug r

and we get

A=\pi (3.947)^2

A=48.94227

So,

The area of rug is 48.9 m^2

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In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=29°, and SQ = 5 feet. Find the length of QR to the nearest tenth of a foot.
goldfiish [28.3K]

Answer:

2.8 feet

Step-by-step explanation:

tan(29)=x/5

5tan(29)=x

2.8=x

8 0
3 years ago
Read 2 more answers
?PLEASE HELP!!!!
STALIN [3.7K]
Start with your lowest numbers, 3 bracelets have 24 beads. The easiest way to find your answer is to find out how many beads are on 1 bracelet. So 24/3 will give us that answer. 24/3=8. and then multiply 7 by 8 to get 56. then check your answer to make sure it fits.
3 x 8 = 24
5 x 8 = 40
7 x 8 = 56
9 x 8 = 72 
5 0
4 years ago
4. Gabby makes banana bread at her bakery every Monday and Wednesday. Her
siniylev [52]

Answer:

Top row: 3 cups, 30 tablespoons, 12 bananas

Second row: 7 cups, 70 tbs, 28 bananas

Step-by-step explanation:

The ratio is 5 (sugar) : 50 (butter)...

You can make the unit rate: 1 cup of sugar: 10 tbs of butter

Since the other ratio is 80 tbs : 32 bananas...

1 tbs : .4 bananas

So...

3 cups : 30 tbs

30 tbs : 12 bananas

28 bananas : 70 tbs

70 tbs :  7 cups

Hope this helps!!!

5 0
3 years ago
Neeeeeeeeed your help
Over [174]

Answer:

9/15=3/5

so 3/5 is equivalent fraction of the 9/15

4 0
3 years ago
Read 2 more answers
What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE
maks197457 [2]

Given:

The equation of a line is:

2y+3x=10

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

2y+3x=10

For x=0,

2y+3(0)=10

2y+0=10

y=\dfrac{10}{2}

y=5

For x=2,

2y+3(2)=10

2y+6=10

2y=10-6

2y=4

Divide both sides by 2.

y=\dfrac{4}{2}

y=2

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

(x,y)\to (3x,3y)

Using this rule, we get

A(0,5)\to A'(3(0),3(5))

A(0,5)\to A'(0,15)

Similarly,

B(2,2)\to B'(3(2),3(2))

B(2,2)\to B'(6,6)

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-15=\dfrac{6-15}{6-0}(x-0)

y-15=\dfrac{-9}{6}(x)

y-15=\dfrac{-3}{2}x

Multiply both sides by 2.

2(y-15)=-3x

2y-30=-3x

2y+3x=30

Therefore, the equation of the line after the dilation is 2y+3x=30.

3 0
3 years ago
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