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marissa [1.9K]
3 years ago
11

The area of the circle is 1384.74 units squared. What is the surcumfrence of the circle

Mathematics
1 answer:
kirill115 [55]3 years ago
7 0

Answer:

131.88 units

Step-by-step explanation:

Area of the circle = πr^{2} = 1384.74 sq. units

       r^{2} = \frac{1384.74}{3.14} = 441 = 21^{2}

   r  = 21 units

Circumference of circle = 2πr  = 2*3.14*21 = 131.88 units

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A square garden plot has an area of 24 ft2.
strojnjashka [21]
The area of a square is equal to the side squared.
s^2=A

We can plug in 24 for A and then take the square root of each side to find s.
s^2=24 \\ s=\sqrt{24}

We can simplify √24.
The prime factorization of 24 is 2×2×2×3.
Since we have 2×2 inside the radical we can simplify to have 2 outside the radical.
\sqrt{24}=\sqrt{4\times6}=\boxed{2\sqrt{6}\ ft}

We can then use a calculator to find an approximate decimal value for 2√6.
(You could technically calculate it by hand using the Babylonian method, I don't think you're expected to do that, though)
2\sqrt{6}\approx\boxed{4.9\ ft}


6 0
3 years ago
Find the scale factor of a cube with volume 216ft to a cube with volume 1000ft
Elenna [48]
216:1000
108:500
54:250
27:125 is the ratio in simplest form.
8 0
3 years ago
Please help! Correct answer only, please! Consider the following table. A movie theatre is planning to increase each of their va
dezoksy [38]

Answer: D

<u>Step-by-step explanation:</u>

In order to increase each ticket by $2, you are ADDING 2 to each value.

So you create a matrix of all 2's and add that to the given matrix.

\left[\begin{array}{cc}2&2\\2&2\\2&2\end{array}\right] +\left[\begin{array}{cc}8&10\\12&16\\6&8\end{array}\right]\quad =\quad \large \left[\begin{array}{cc}10&12\\14&18\\8&10\end{array}\right]

7 0
4 years ago
Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 69.08 inches.
DochEvi [55]
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4 0
4 years ago
Read 2 more answers
Simplify<br>1)5x+3=x+13<br>2)5/2x-1/X =1/6​
Artyom0805 [142]

Step-by-step explanation (Question 1):        

<u>Step 1: (Question 1): Subtract x from both sides.</u>

5x+3=x+13

5x+3−x=x+13−x

4x+3=13

<u>Step 2: (Question 1): Subtract 3 from both sides.</u>

4x+3−3=13−3

4x=10

<u>Step 3: (Question 1): Divide both sides by 4.</u>

4x/4 = 10/4

FIRST ANSWER: x = 5/2

Step-by-step explanation (Question 2):      

<u>Step 1: (Question 2): Multiply by LCM</u>

15x^2 - 6 = x

<u>Step 2: (Question 2): Solve 15x^2</u>

15x^2 - 6 = x:

x = 2/3

x = -3/5

<u>Step 3: (Question 2): Solve</u>

ANSWER: x=0.666667 or x=−0.6

See Attachment 1 for question 1 steps (FULL)

See Attachment 2 for question 2 steps (FULL)

Answer:    

1)   x = 5/2

2)  x=0.666667 or x=−0.6

 

Hope this helps.

8 0
3 years ago
Read 2 more answers
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