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Lelechka [254]
3 years ago
13

3. What is the radius of a circle whose area is 64π cm squared?

Mathematics
1 answer:
nataly862011 [7]3 years ago
8 0

Answer:

Area = 64π

Area \: = \pi {r}^{2}Area=πr

2

64 \: \pi \: = \pi {r}^{2}64π=πr

2

{r}^{2} = \dfrac{64\pi}{\pi}r

2

=

π

64π

{r}^{2} = 64r

2

=64

r \: = \: \sqrt{64} = 8r=

64

=8

Radius = 8 units

Finding the Diameter -

Diameter = Radius x 2 = 8 x 2 = 16 .

\bold{Diameter \: is \: 16 \: units}Diameteris16units

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Answer:

There are 20 nickels and 10 dimes

The friend is correct, there are twice as many nickels as there are dimes

Step-by-step explanation:

Let

x -----> the number of nickels

y -----> the number of dimes

z ----> the number of quarters

Remember that

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1 dime=$0.10

1 quarter=$0.25

so

x+y+z=30 -----> equation A

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Multiply by 100 both sides

5x+10y+25z=200 -----> equation B

x=2y ----> equation C

substitute equation C in equation A and equation B

2y+y+z=30 -----> 3y+z=30 -----> equation D

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Solve the system of equations D and E by graphing

The solution is the point (0,10)

z=0, y=10

see the attached figure

Find the value of x

x=2y -----> x=2(10)=20

therefore

There are 20 nickels and 10 dimes

The friend is correct, there are twice as many nickels as there are dimes

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3x° + 75° = 180°        

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PROOF

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