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3 years ago

find the area of each Arc. Use the 3.14 as the value of pi. Round your answer to the nearest tenth. Label unit

Mathematics

1 answer:

Arada [10]3 years ago

7 0

Answer:

18.8 m²

Step-by-step explanation:

The area of a sector is given by the formula ...

A = (1/2)r²θ . . . . . . . r is radius, θ is the central angle in radians

To convert an angle in degrees to one in radians, multiply by π/180°.

Your 135° sector has an area of ...

A = (1/2)(4 m)²(135°)(π/180°) = 6π m²

A ≈ 18.8 m²

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Raise the unit selling price .25 cents from $2.50 to $2.75

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What is 1/5 times 5/6 use a fraction modelto to help you solve.

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$\frac{1}{6}$

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2 years ago

g A trial jury of 6 people is selected from 20 people: 8 women and 12 men. What is the probability that the jury will have an od

cricket20 [7]

Answer: P(odd) = 0.499

Step-by-step explanation:

Given:

Total number of people = 20

Number of men = 12

Number of women = 8

Number of jury to be selected = 6

For the jury to have an odd number of women. it must have either of the three.

1. 1 woman , 5 men

2. 3 women, 3 men

3. 5 women, 1 man

The total possible ways of selecting the 6 people jury is;

N = 20C6 = 20!/6!(20-6)!

N = 38760

The possible ways of selecting;

Case 1 : 1 woman, 5 men

N1 = 8C1 × 12C5

N1 = 8 × 792 = 6336

Case 2 : 3 women , 3 men

N2 = 8C3 × 12C3

N2 = 12320

Case 3 : 5 women, 1 man

N3 = 8C5 × 12C1

N3 = 672

P(Odd) = (N1+N2+N3)/N

P(odd) = (6336+12320+672)/38760

P(odd) = 19328/38760

P(odd) = 0.499

6 0

3 years ago

from the line y=2x-10 find the equation of the line that is perpendicular to this line and goes through the point (9,-5)

creativ13 [48]

2 is the slope so the slope perpendicular to that is -1/2 (negative reciprocal)
-5=-1/2(9) 9*-1/2=-4.5 and -4.5 - 0.5 = -5 so the equation for the line is y=-1/2x -0.5

5 0

3 years ago

Which table describes the behavior of the graph of f(x) = 2x3 – 26x – 24?

In-s [12.5K]

Answer:

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis

Step-by-step explanation:

f(x)= $2x^{3}-26x-24$

$2x^{3}-26x-24$ =0

$2x^{3}-26x-24=0\\2x^{3}-2x-24x-24=0\\2x(x^{2} -1)-24(x+1)=0\\2x(x+1)(x-1)-24(x+1)=0\\(x+1)(2x^{2} -2x-24)=0\\=> x+1=0 => x_{1}=-1\\$

$=> 2x^{2} -2x-24=0\\=>2(x^{2} -x-12)=0\\=> x^{2} -x-12=0\\=> x^{2} -4x+3x-12=0\\=> x(x-4)+3(x-4)=0\\=> (x-4)(x+3)=0\\$

$=> x-4=0\\=> x_{2}=4\\=> x+3=0\\=>x_{3}=-3\\$

For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis

7 0

3 years ago

Read 2 more answers

find the area of each Arc. Use the 3.14 as the value of pi. Round your answer to the nearest tenth. Label unit​

find the area of each Arc. Use the 3.14 as the value of pi. Round your answer to the nearest tenth. Label unit