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rjkz [21]
3 years ago
5

Determine the measure of the missing angle in the figure below.

Mathematics
1 answer:
bearhunter [10]3 years ago
5 0

Answer:

Step-by-step explanation:

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Find the area lying outside r=6cos(theta) and inside r=3+3cos(theta)
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The area bounded by the 2 parabolas is A(θ) = 1/2∫(r₂²- r₁²).dθ between limits θ = a,b... 

<span>the limits are solution to 3cosθ = 1+cosθ the points of intersection of curves. </span>
<span>2cosθ = 1 => θ = ±π/3 </span>

<span>A(θ) = 1/2∫(r₂²- r₁²).dθ = 1/2∫(3cosθ)² - (1+cosθ)².dθ </span>
<span>= 1/2∫(3cosθ)².dθ - 1/2∫(1+cosθ)².dθ </span>
<span>= 9/8[2θ + sin(2θ)] - 1/8[6θ + 8sinθ +sin(2θ)] .. </span>
<span>.............where I have used ∫(cosθ)².dθ=1/4[2θ + sin(2θ)] </span>
<span>= 3θ/2 +sin(2θ) - sin(θ) </span>

<span>Area = A(π/3) - A(-π/3) </span>
<span>= 3π/6 + sin(2π/3) -sin(π/3) - (-3π/6) - sin(-2π/3) + sin(-π/3) </span>
<span>= π.</span>
7 0
3 years ago
Can any one help me pls I'm not good at math:(<br>the graph of a function is shown on the grid​
melamori03 [73]

Answer:

D is the correct answer

Step-by-step explanation:

The coordinates of the x axis is always listed first.

On the x axis the line was less than one and more than zero leaving the fraction as the only option.

hope it helps

have a great day

:)

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maks197457 [2]

Answer:

y - 7 = 5/4(x - 3)

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8 0
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Svet_ta [14]

Answer:

Formula: 2\pir

Subsitute: 2\pi2

Solve: (2)(3.14)(2) = 12.56= circumference

In terms of pi: 4\pi

Step-by-step explanation:

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A plumber has two pipes. One pipe is 7 times as long as the other pipe. He cuts 2.2 meters from the longer pipe. The remaining l
leva [86]
7x2.2 is 14.4 then you will need to multiply 3x2.2 then add them up
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