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emmasim [6.3K]
2 years ago
14

Consider a circle whose size can vary. Let r r represent the radius of the circle (in cm) and let C C represent the circumferenc

e of the circle (in cm). Suppose the function f f determines the circumference of the circle in cm, C C, given its radius length in cm, r r. Write a function formula for f f.
Mathematics
2 answers:
Ket [755]2 years ago
8 0

Answer:

  f(r) = 2πr

Step-by-step explanation:

You know the formula for circumference in terms of radius is ...

  C = 2πr

You are being asked to write this as a function named "f". That will be ...

  f(r) = 2πr

ozzi2 years ago
7 0

Answer:

f(r)=2\pi r

Step-by-step explanation:

The formula for circumference of a circle is

C=2\pi r

where,

C represent the circumference of the circle.

r represent the radius of the circle.

It is the function f  determines the circumference of the circle in cm, C C, given its radius length in cm, r.

So, the circumference of the circle is defined by the function

f(r)=2\pi r

Therefore the required formula for function f is f(r)=2\pi r.

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If ray NP bisects &lt;MNQ, m&lt;MNQ=(8x+12)°, m&lt;PNQ=78°, and m&lt;RNM=(3y-9)°, find the value of x and y
aksik [14]

Step 1

<u>Find the measure of angle x</u>

we know that

If ray NP bisects <MNQ

then

m<MNQ=m<PNM+m<PNQ ------> equation A

and

m<PNM=m<PNQ -------> equation B

we have that

m<MNQ=(8x+12)°

m<PNQ=78°

so

substitute in equation A

(8x+12)=78+78-------> 8x+12=156------> 8x=156-12

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Step 2

<u>Find the measure of angle y</u>

we have

m<PNM=(3y-9)°

m<PNM=78°

so

3y-9=78------> 3y=87------> y=29°

therefore

<u>the answer is</u>

the measure of x is 18° and the measure of y is 29°


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