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Talja [164]
3 years ago
12

Find the arc length on a circle with radius =4 inches and central angle of 30°

Mathematics
1 answer:
Elenna [48]3 years ago
5 0

Answer:

Step-by-step explanation:

I'm assuming you're not doing the pre-calculus version of this equation where your angle is in radians. So we'll do the Geometry version which looks like this:

AL=\frac{\theta}{360}*2\pi r

Our angle is 30 and our radius is 4, so we fill in accordingly:

AL=\frac{30}{360}*2(3.1415)(4) (this is if you multiply in pi. We'll find the answer in terms of pi as well).

AL = \frac{1}{12}*25.132 and

AL = 2.09433 inches

In terms of pi, the answer would be

AL = \frac{2}{3}\pi inches

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Equal is 89 cause z9=8z
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3 years ago
Given the two functions, which statement is true?
tia_tia [17]

Answer:

Option D

Step-by-step explanation:

f(x) = \text{log}_{15}x

Transformed form of the function 'f' is 'g'.

g(x) = \frac{1}{2}\text{log}_{15}(x+4)

Property of vertical stretch or compression of a function,

k(x) = x

Transformed function → m(x) = kx

Here, k = scale factor

1). If k > 1, function is vertically stretched.

2). If 0 < k < 1, function is vertically compressed.

From the given functions, k = \frac{1}{2}

Since, k is between 0 and \frac{1}{2}, function f(x) is vertically compressed by a scale factor \frac{1}{2}.

g(x) = f(x + 4) represents a shift of function 'f' by 4 units left.

g(x) = f(x - 4) represents a shift of function 'f' by 4 units right.

g(x) = \frac{1}{2}\text{log}_{15}(x+4)

Therefore, function f(x) has been shifted by 4 units left to form image function g(x).

Option D is the answer.

8 0
3 years ago
Chelsea and her friends are making small fruit baskets for their neighbors. They have 90 pears, 45 peaches, and 75 apples. What
iVinArrow [24]

Answer:

15 baskets

Step-by-step explanation:

This question is a GCF question

The first step would be to find the factors of 45, 75 and 90

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 75 are: 1, 3, 5, 15, 25, 75

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The greatest common factor is 15.

Therefore, the greatest number of baskets they can make if each basket has the same number of pears, the same number of peaches, and same number of apples, with no fruit leftover is 15 baskets

3 0
3 years ago
Inequalities &amp; problem solving<br>|3-2x/3|&gt;5
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Work: 2x/2 > 5/2 =2.5. answer-2.5
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A raffle is being held to raise money for wildlife conservation efforts. Ten different gift cards are being awarded. If 3,125 pe
Alex17521 [72]

Answer:

Your answer will be 0.9968

Step-by-step explanation:

Subtract 3,125 to 10 and then divide your answer to 3,125

6 0
3 years ago
Read 2 more answers
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