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suter [353]
3 years ago
13

A carousel horse travels on a circular path with a radius of 15 ft. How many feet does the horse travel over an angle of 2π3 rad

ians? Round to the nearest foot.
2π3 radians = ft
Mathematics
1 answer:
snow_lady [41]3 years ago
6 0

Answer:

arc\,\,length=10\,\pi\,ft\\arc\,\,length=31.41\,ft

Step-by-step explanation:

Recall that the formula for the length of an arc of circumference is given by the formula:

arc\,\,length=\theta\,R

where \theta is the radian form of central angle subtended , and R is the radius of the circumference. What is important is to have the angle given in radians for this formula to be valid.

In our case, the angle ( \frac{2\pi}{3} ) is already in radians, so we can apply the formula directly:

arc\,\,length=\theta\,R\\arc\,\,length=\frac{2\,\pi}{3} \,(15\,ft)\\arc\,\,length=10\,\pi\,ft\\arc\,\,length=31.41\,ft

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Answer:

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5 0
3 years ago
Please I need some help!
Schach [20]

(f+g)(x) = 8x+2

(f-g)(x) = 4x-6

Step-by-step explanation:

Given

f(x) =6x-2\\g(x)=2x+4

we have to find

<u>a. (f+g)(x)</u>

(f+g)(x)=f(x)+g(x)\\=(6x-2)+(2x+4)\\=6x-2+2x+4\\=6x+2x-2+4\\=8x+2

<u>b. (f-g)(x)</u>

(f-g)(x)=f(x)-g(x)\\=(6x-2)-(2x+4)\\=6x-2-2x-4\\=6x-2x-2-4\\=4x-6

Hence,

(f+g)(x) = 8x+2

(f-g)(x) = 4x-6

Keywords: Functions, Operations on Functions

Learn more about functions at:

  • brainly.com/question/4021035
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7 0
4 years ago
For the investment with interest compounded annually, find the final balance using the formula A = P(1 + r)t
Alinara [238K]
B.
<span>$5852.86

Working;
</span><span>A = P(1 + r)^t
A=5000(1+</span>\frac{3.2}{100})^5
A=<span>5852.86</span>
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4 years ago
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Answer:

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6 0
3 years ago
Read 2 more answers
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