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Law Incorporation [45]
3 years ago
12

How long is the arc intercepted by two pi over 3 rad central angle in a circle with radius 7 feet

Mathematics
1 answer:
Oxana [17]3 years ago
5 0

Answer:

4.67 ft

Step-by-step explanation:

An arc is simply a portion of the circumference of a circle.

To find the length of an arc, we simply need to apply the formula:

L = \frac{\alpha }{360}  * 2\pi r

where α = angle subtended by the arc = \frac{2\pi }{3} rads = \frac{2\pi }{3} * \frac{180}{\pi } degrees = 38.2°

r = radius of the circle = 7 ft

Hence, the length of the arc is:

L = \frac{38.2}{360}  * 2*\pi *7

L = 4.67 ft

The length of the arc is 4.67 ft

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Use an algebraic approach to solve the problem.
qaws [65]

Answer:

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Step-by-step explanation:

Use the formula for the mean: sum of elements / number of elements

Let x represent her first exam score.

Her second exam score can be represented by x + 11, since it was 11 points better than her first.

Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.

Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):

mean = sum of elements / number of elements

87 =  ( (x) + (x + 11) + (x + 11) + 5 ) / 3

Add like terms and solve for x:

87 = (3x + 27) / 3

261 = 3x + 27

234 = 3x

78 = x

So, her first score was a 78.

Find her second score by adding 11 to this:

78 + 11 = 89

Find her third score by adding 5 to the second score:

89 + 5 = 94

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

6 0
3 years ago
3] What is - 2y + 10 + 2y - 8 simplified?
inna [77]

Answer:

d. 2

Step-by-step explanation:

-2y +10+2y-8

10-8. ( -2y+2y = 0)

2

7 0
2 years ago
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Answer:

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GenaCL600 [577]
Answer:
y = 24x³ - 1

Explanation:
We have:
x = \frac{1}{2} t
This means that:
t = 2x ...............> I

We are also given that:
y = 3t³ - 1 .............> II

Substitute with I in II to eliminate the t as follows:
y = 3t³ - 1
y = 3*(2x)³ - 1
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Hope this helps :)

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The rectangle and the square shown have the same perimeter??<br> What is the perimeter of each?!
JulijaS [17]

Answer:

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