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umka2103 [35]
3 years ago
12

Find the area of the sector.

Mathematics
2 answers:
Rasek [7]3 years ago
7 0

Answer:

104.72 m^2.

Step-by-step explanation

I'm taking the angle to be 30 degrees.

Area of sector = area of the circle * 30/360

= pi*20^2 * 30/360

= 400pi * 1/12

= 104.72 m^2.

Korvikt [17]3 years ago
3 0

Step-by-step explanation:

A=30/360*22/7*20

A=110/21m^2

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miskamm [114]

Answer:

A) The volume of solid is 18π cubic unit.

B) The volume of sphere is \dfrac{4}{3}\pi r^3

    a = -r , b = r , f(x)=\sqrt{r^2-x^2} and V=\dfrac{4}{3}\pi r^3

Solution A)

The given curve, y=3+3e^{-5x} rotate about x-axis between 2 to 4.

Please find attachment for solid figure or rotation.

Using disk method to find the volume rotation about x-axis

V=\int_a^b\pi R^2dx  

where, a = 2, b= 4 , R=y=3+3e^{-5x} and dx is thickness of disk.

V=\int_2^4\pi (3+3e^{-5x})^2dx

V=9\pi\int_2^4(1+e^{-10x}+2e^{-5x})dx

V=9\pi(x-\dfrac{1}{10}e^{-10x}-\dfrac{2}{5}e^{-5x})|_2^4)

V=9\pi(4-\dfrac{1}{10}e^{-40}-\dfrac{2}{5}e^{-20}-2+\dfrac{1}{10}e^{-20}-\dfrac{2}{5}e^{-10}))

V=9\pi (2-0)

V=18\pi

Hence, the volume of solid is 18π cubic unit

Solution B)

The equation of circle of radius r and centered at origin (0,0).

x^2+y^2=r^2

y=\sqrt{r^2-x^2}

The solid form is sphere of radius r.

Using disk method, to find volume of solid

V=\int_a^b\pi R^2dx  

where, a = -r, b = r , R=y=\sqrt{r^2-x^2} and dx is thickness of disk.

V=\int_{-r}^r\pi (r^2-x^2)dx

V=\pi(r^2x-\dfrac{x^3}{3})|_{-r}^r

V=\pi(2r^3-\dfrac{2r^3}{3})

V=\dfrac{4}{3}\pi r^3

Hence, the volume of sphere is \dfrac{4}{3}\pi r^3

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4 years ago
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pishuonlain [190]
Since the skier has to rent skis for 30 dollars per day with both passes, we can ignore it while solving the question.

A season pass is 350, while a daily pass is 75.

\frac{350}{75} = \frac{25\times 14}{25\times 3} = \frac{14}{3} = 4 \frac{2}{3}

So a seasonal pass is equivalent to having 4.6667 daily passes. And you can't buy 0.6667 of a pass.

So, if you went at least 5 days with a seasonal pass, then the seasonal pass would be less expensive than a daily pass.
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3 years ago
naughty spent $28 on 2 DVDs at this rate how much would five DVDs cost and what rate did she spend her money
ioda
If you divided 28 by 2 you will get 14 then times that by 5 and you will get 70 that is how much 5 will be
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Answer is: 150 inches

Explanation:

d==> 25 inches

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solution ==>

circumference ==> π*d

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it will cover 75 cm in 1 turn.

so, in two turns, it will cover ==>2*75 inches

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hence, correct answer is 150 inches.

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Jennifer because she jogged 45 and Alan only jogged 28
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