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Sophie [7]
4 years ago
15

What is the arc length of arc CD in the circle below? Circle A is shown with a radius labeled 15 feet and a central angle marked

45 degrees.
Mathematics
2 answers:
Rashid [163]4 years ago
8 0

Answer:

11.78feet

Step-by-step explanation:

Formula for calculating the length of an arc is theta/360° × 2πr

Given theta = 45°

radius (r) = 15feet

Area of an arc = 45/360×2π(15)

Area of an arc = 1/8×30π

Area of an arc = 30π/8

Area of an arc = 15π/4feet

= 11.78feet.

The length of the arc is therefore 11.78feet

Lesechka [4]4 years ago
5 0
Arc length = angle (in rad!!) * radius:

45 degree = pi / 4 rad

Arc length = pi/ 4 * 15 = 15/4*pi feet or approx. 11.781 feet

Also in this case only, 45 degrees is 1/8 of the whole circle, so Arc length = 2pir/8 = pi/4*r, but only this case. the first formula always works!
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Rachel is collecting donations for the local animal shelter. So far she has collected $245, which is 70% of what she hopes to co
Nata [24]

Answer:

The money Rachael plan to collect for the shelter is <u>$350</u>.

Step-by-step explanation:

Given:

Rachel is collecting donations for the local animal shelter.

So far she has collected $245, which is 70% of what she hopes to collect.

Now, to find the money Rachael plan to collect for the shelter.

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olga2289 [7]

Answer:

a. C(1,000) = 420,491.11

b. c(1,000) = 420.49

c. dC/dx(1,000) = 429.72

d. x = 900

e. c(900) = 420

Step-by-step explanation:

We have a cost function for x units written as:

C(x) = 54,000 + 240x + 4x^{3/2}

a. The total cost for x=1000 units is:

C(1,000) = 54,000 + 240(1,000) + 4(1,000)^{3/2}\\\\C(1,000)=54,000+240,000+4\cdot  31,622.78\\\\C(1,000)=54,000+240,000+ 126,491.11 \\\\C(1,000)=  420,491.11

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