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elena-s [515]
3 years ago
11

PLZ HELP ASAP AREA OF A SECTOR

Mathematics
1 answer:
timama [110]3 years ago
4 0
The relationship of arcs is:
 S '/ S = ((1/9) * pi * r) / (2 * pi * r)
 Rewriting we have:
 S '/ S = ((1/9)) / (2)
 S '/ S = 1/18
 Therefore, the area of the shaded region is:
 A '= (S' / S) * A
 Where A: area of the complete circle:
 Clearing we have:
 A = (A ') / (S' / S)
 Substituting:
 A = ((1/2) pi) / (1/18)
 A = ((18/2) pi)
 A = (9pi)
 Answer:
 The area of the circle is:
 
A = (9pi)
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A local television station for a city with a population of 500,000 recently conducted a poll where they invited viewers to call
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Answer:

b. Invalid, because the sample may not be representative of the population.

Step-by-step explanation:

A sample of around 10% of the population is needed to be representative.

In this question:

We have a population of 500,000, and a sample of 10,000.

10,000/500,000 = 1/50 = 0.02 = 2% of the population, so not representative, and option b is correct.

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2 years ago
The radius of a circle is 19 miles. What is the circle's circumference?<br> Use 3.14 for .
insens350 [35]

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119.38

Step-by-step explanation:

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2 years ago
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Find the center and radius of the sphere whose equation is given by x2+y2+z2−2x−4y+8z+17=0x2+y2+z2−2x−4y+8z+17=0.
Vedmedyk [2.9K]
We know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²
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we have
x²+y²+z²<span>−2x−4y+8z+17=0
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²+2x)+(y²-4y)+(z²+8z)=-17
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=-17+1+4+16
(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=4

Rewrite as perfect squares

(x+1)²+(y-2²)+(z+4)²=4

(x+1)²+(y-2²)+(z+4)²=2²

the center is the point (-1,2,-4) and the radius is 2 units




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3 years ago
The back of Monique's property is a creek. Monique would like to enclose a rectangular area, using the creek as one side and fen
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Therefore all we want to do here is see how big we can make our “square” perimeter using the creek. We have three sides to spread 580ft across, therefore if we divide this by 3, we get 193.3ft of fencing per side. If we then square this figure, we will then get the maximum possible area, which comes to 37,377ft squared. (That’s a huge garden).
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Two fractions one positive one negative whose product is 5/8
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-10/8 and + 15/8. Those should work.

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