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saul85 [17]
2 years ago
8

Find the arc length and sectors perimeter of an 85 degree arc of a circle with a radius of 4ft

Mathematics
1 answer:
uysha [10]2 years ago
3 0
So, to find the measure of an src length we use the formula

angle / 360 * 2 pi r

so, if we plug it in, it is

85 / 360 * 2 pi 4


that equals 17 pi / 9 ft^2

that is the arc length.


to find the perimeter of the sector ( a sector is j the region w the arc) add the two radi as well as the newly found arc length

that should be 4 + 4 + 17 pi / 9



this equals roughly 13.9341 ft^2
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The answers:
x = 1
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4 years ago
One's intelligence quotient, or IQ, varies directly as a person's mental age and inversely as that person's chronological age.
Olin [163]

Answer:

The chronological age is 30 years

Step-by-step explanation:

Q= (kM)/C

132= (22k)/ 25

3300= 22k

k= 150

Q= (150M)/C

100= (150 x 20)/C

100= 3000/C

100C= 3000

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4 0
3 years ago
Which answer is the approximate standard deviation of the data set?
Anna35 [415]

Answer:

3.4

Step-by-step explanation:

Standard deviation of a population is defined as:

σ² = ∑(xᵢ − μ)² / n

The standard deviation of a sample is defined as:

s² = ∑(xᵢ − x)² / (n - 1)

It's not clear which one we have, so let's calculate both.

First, we must find the mean.

μ = (5+12+15+10+12+6+8+8) / 8

μ = 9.5

Now we find the squares of the differences:

(5-9.5)² + (12-9.5)² + (15-9.5)² + (10-9.5)² + (12-9.5)² + (6-9.5)² + (8-9.5)² + (8-9.5)²

= 80

Divide by n:

σ² = 80 / 8

σ² = 10

And take the square root:

σ = √10

σ ≈ 3.2

That's not one of the answers, so let's try the standard deviation of a sample instead of a population.

Instead of dividing by n, we'll divide by n-1:

s² = 80 / 7

And take the square root:

s = √(80/7)

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6 0
3 years ago
Find the area of the circle to the<br> nearest tenth. Use 3.14 for it<br> (11 mm)
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Answer:

The area of the circle is 379.94 mm²

Step-by-step explanation:

To solve this problem we need to use the area formula of a circle:

a = area

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a = π * r²

we replace with the known values

a = 3.14 * (11 mm)²

a = 3.14 * 121 mm²

a = 379.94 mm²

Round to the nearest tenth

a = 379.94 mm² = 379.9 mm²  

The area of the circle is 379.9 mm²

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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