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Bond [772]
3 years ago
9

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

Mathematics
1 answer:
Katarina [22]3 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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Can you use the Pythagorean theorem to relate thethree sides of this triangle?
irina1246 [14]

Answer:

You can use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle if you know the length of the triangle's other two sides, called the legs. You can use the Pythagorean Theorem to find a value for the length of c, the hypotenuse.

6 0
3 years ago
Which expression is equivalent to log_5(x/4)^2?
viktelen [127]

For this case we must find an expression equivalent to:

log_ {5} (\frac {x} {4}) ^ 2

So:

We expanded log_ {5} ((\frac {x} {4}) ^ 2)by moving 2 out of the logarithm:

2log_ {5} (\frac {x} {4})

By definition of logarithm properties we have to:

The logarithm of a product is equal to the sum of the logarithms of each factor:

log (xy) = log (x) + log (y)

The logarithm of a division is equal to the difference of logarithms of the numerator and denominator.

log (\frac {x} {y}) = log (x) -log (y)

Then, rewriting the expression:

2 (log_ {5} (x) -log_ {5} (4))

We apply distributive property:

2log_ {5} (x) -2log_ {5} (4)

Answer:

An equivalent expression is:

2log_ {5} (x) -2log_ {5} (4)

3 0
3 years ago
Alex is making puppets for a show. He bought all the string needed for $125. It costs $18 for the remaining materials to make ea
Alexus [3.1K]

Alex bought all the string needed for $125.

It costs $18 for the remaining materials to make each puppet.

So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.

And the variable cost is $18.

In this case we can model a Total cost function C(x) for for x number of puppets as below

C(x)=125+18x\\ \\ \text{Here x is the number of puppets}\\ \\ \text{Since in our case the number of puppets is 50 so replace x by 50 we get }\\ \\ C(50)=125+18*50\\ \\ C(50)=125+900\\ \\ C(50)=1025  \ dollar.

The total cost to make 50 puppets=$1025

3 0
3 years ago
Read 2 more answers
What is the simplified form of x+6 over x+4 + x-3 over 3
Zigmanuir [339]
1 Cancel <span>33</span>
<span>x+\frac{6}{x}+4+x-1<span>x+<span><span>​x</span>​<span>​6</span><span>​​</span></span>+4+x−1</span></span>
2 Collect like terms
<span>(x+x)+\frac{6}{x}+(4-1)<span>(x+x)+<span><span>​x</span>​<span>​6</span><span>​​</span></span>+(4−1)</span></span>
3 Simplify
<span><span>2x+\frac{6}{x}+3<span>2x+<span><span>​x</span>​<span>​6</span><span>​​</span></span>+3</span></span><span>
</span></span>
7 0
3 years ago
Jim and Carla are scuba diving. Jim started out 12 feet below the surface. He descended 17 feet, rose 3 feet, and descended 8 mo
Maslowich

Answer:

Jim reached a greater depth by one foot, as he started 12 feet below the surface.

Step-by-step explanation:

Jim

12 feet+17 feet = 29

29-3 feet (rose 3 feet) = 26

26+8= 34 feet

Carla

0 feet (surface)+ 19 feet= 19

19-3 feet= 16

16+17= 33 feet

5 0
3 years ago
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