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Bond [772]
4 years ago
9

What is the approximate distance around the half circle with radius 12 centimeters?

Mathematics
1 answer:
Katarina [22]4 years ago
4 0
You can find the perimeter of a circle by using the radius.
circumference = 2 \pi r
Circumference = 2 \pi x 12
circumference = 24 pi
Since you are only trying to find half of the circle you would divide your answer by 2 

24pi / 2 = 12 pi

12 pi = 37.68

The answer is B. 37.7
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3 years ago
20 POINTS<br> HELP ME PLEASE<br> How many solutions does the system have
finlep [7]

Answer:

Two

Step-by-step explanation:

x² + 4 = 4x + 1

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x = 1, 3

y = 4(1) + 1 = 5

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3 years ago
The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.
lorasvet [3.4K]
p = 2w + 2l              p = 42 
a = l * w                   a = 108

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2 
               2's  cancel  out
\frac{p}{2} = w + l

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
\frac{p}{2} - l = w + l - l
                 l's  cancel  out 
p/2 - l = w

a = l * w

You replace w with the equation above p/2 - l = w 
a = l( \frac{p}{2} - l)

Multiply out the L.
a = \frac{p}{2}l - l^{2}

Plug in all your numbers a = 110 and p = 42
110 = \frac{42}{2}l - l^{2}
110 = 21l - l^{2

Move everything to the left side so l^{2} would be positive (makes the equation easier when l^{2} is positive).
l^{2} - 21l + 110 = 0

Factor.
(l -10)(l-11) = 0

Make each parenthesis set equal to 0.
l-11=0     l-10=0

Add.
l = 11  l = 10

By doing this you solve for both the width and length so the answer is:
w = 11    L = 10
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Which property of equality is represented? If 4x = 16, then 16 = 4x.
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