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Schach [20]
3 years ago
5

The radius of a circle is 8 inches. What is the angle of an arc 2π inches long?

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
3 0

Answer:

π/4 radians

Step-by-step explanation:

The arc length formula is s = rФ, where Ф is the central angle (in radians).

Here, r = 8 inches and s = arc length = 2π inches.  We need to find the central angle, Ф.  The formula given above is s = rФ, or, equivalently,

Ф = s/r.

Here, the central angle is Ф = s/r = 2π/8, or π/4 radians.

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nasty-shy [4]
Dimensions of the room------------------- >16*13
1 in---------------- >0.0833333 foot
3 in----------------- >x
x=3*.0833333=0.25 ft
Let
<span>C-------------- > dimensions of the piece of carpet that Charlotte must purchase
C-------------- > (16+2*0.25)*(13+2*0.25)---------- > (16.50)*(13.50)=222.75 ft</span>²
<span>
The answer a the question 1) is 16.50 feet X 13.50 feet</span>

The answer a the question 2) is 222.75 ft²

<span>3. How many hours should it take for the four-person crew to lay the flooring in Charlotte's bedroom?

if </span><span>two-person carpet crew can lay 50 square feet of carpet---------- > 1 hour</span><span>
four person </span>carpet crew can lay 100 square feet of carpet---------- > 1 hour

therefore

if  100 ft² carpet----------------------- > 1 hour
 222.75 ft² carpet--------------------- > x
x=222.75/100=2.2275 hours=2.23 hours

The answer is 2.23 hours

6 0
3 years ago
Tracy packages snack mix at a grocery store. She uses 1/5 of her supply of peanuts to make a trail mix and 3/5
Usimov [2.4K]

Answer:

she'll use in total 1/5 + 3/5 = 4/5 from her 16 pounds of peanuts so 4/5 * 16 = 12.8

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5 0
3 years ago
Kelly used the vertical line test to determine whether or not the curve that she
Keith_Richards [23]
<h3>Answer:  Choice D</h3>

All vertical lines intersected the curve at exactly 1 point.

===========================================================

Explanation:

If there is a case when a single vertical line crosses 2 or more points on the  curve, then it will not be a function. In this situation, it is said that the curve fails the vertical line test.

Passing the vertical line test means that every vertical line passes through exactly one point on the curve. Each x input leads to exactly one output. If such a situation happens, then we have a function.

Since Kelly concluded that the curve is a function, this means the curve passed the vertical line test, and it points us to choice D as the answer.

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2 years ago
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Answer:

They are both due to the wave nature of light.

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3 years ago
Quiz
Dovator [93]

Answer:

y=21

These is no explaination

3 0
3 years ago
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