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rjkz [21]
2 years ago
7

a circle has a radius of 4.5 inches find the length of the arc outlined by a central angle that measures 0.6pi radians

Mathematics
1 answer:
Alex777 [14]2 years ago
5 0

Answer:

8.478in

Step-by-step explanation:

Length of an arc = rtheta

r is the radius of the circle = 4.5in

theta  is the central angle = 0.6pi

Substitute

Length of the arc = 4.5 * 0.6pi

Length of the arc = 4.5 * 0.6 * 3.14

Length of the arc = 8.478inches

Hence the length of the arc is 8.478inches

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What does g(n) equal
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We are given the function: 
g(n) = 3 (\frac{7}{5} )^n

We need to find what g(-3) equals. 

What the question is asking is what is the resulting value after you plug in -3 as n to the function. Meaning you replace the n that is in the function with -3. 

g(-3) = 3( \frac{7}{5})^{-3}

Remember back to the order of operations. 

Parenthesis
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Multiplication
Division
Addition
Subtraction

For this problem we can keep the fraction as it is (unless you are permitted to use a calculator... if that is the case then just plug all that into a calculator) and keep going to the exponent. 

Negative exponents make fractions FLIP. So our fraction will look like this: (\frac{7}{5})^{-3} =  (\frac{5}{7})^{3}

Now that we have it without the negative exponent we need to distribute the cubed power to each number in the fraction (which is essentially the same as saying this: \frac{5}{7}* \frac{5}{7}* \frac{5}{7})

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We ARE NOT done! We still have this left: 
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Answer:

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