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lilavasa [31]
3 years ago
15

I need the answer. Please help.

Mathematics
1 answer:
gavmur [86]3 years ago
7 0

Answer:

300°

Step-by-step explanation:

To convert from radians to degrees

degree = radian × \frac{180}{\pi } , then

degree = \frac{5\pi }{3} × \frac{180}{\pi } ( cancel π on numerator/ denominator )

            = \frac{5(180)}{3}

            = 5 × 60°

            = 300°

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The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any meth
Lubov Fominskaja [6]

Answer:

\frac{128\pi}{3} cubic units

Step-by-step explanation:

We are given that a region bounded by a curves x=(y-7)^2

x=4 and about y=5

We have to find the value of volume of the resulting solid

To find the volume of resulting solid we are using cylinder method

Substitute the values of x then we get

(y-7)^2=4

y-7=\pm2

y-7=2  and y-7=-2

y=7+2=9 and y=-2+7=5

Radius of cylinder =r=y-5

and height =h=4-(y-7)^2=4-y^2-49+14 y=-y^2+14 y -45

Using cylinder method and integrate along y -axis from y=5 to y=9

Volume =\int_{a}^{b}2\pi r h dy=\int_{5}^{9}2\pi(y-5)(-y^2+14 y -45) dy

volume=2\pi\int_{5}^{9}(-y^3+19y^2-115y+225)dy

Volume =2\pi[-\frac{y^4}{4}+19\frac{y^3}{3}-115\frac{y^2}{2}+225y]^9_5

Volume =2\pi[-\frac{6561}{4}+\frac{625}{4}+19(\frac{729-125}{3})-115(\frac{81-25}{2})+225(9-5)]

Volume=2\pi(-1484+\frac{11476}{3}-3220+900)

Volume =2\pi(\frac{11476}{3}-3804)

Volume =2\pi(\frac{11476-11412}{3})=\frac{128\pi}{3}

Hence, volume of resulting solid =\frac{128\pi}{3} cubic units

3 0
3 years ago
There are 92 students in a chemistry class. The instructor must choose two students at random. Students in a Chemistry Class Aca
Sergio039 [100]

Answer:

0.0108 = 1.08% probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability that a sophomore non-Chemistry major

Out of 92 students, 9 are non-chemistry major sophomores. So

P(A) = \frac{9}{92}

Then a junior non-Chemistry major are chosen at random.

Now, there are 91 students(1 has been chosen), of which 10 are non-chemistry major juniors. So

P(B) = \frac{10}{91}

What is the probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random

P = P(A)*P(B) = \frac{9}{92}*\frac{10}{91} = \frac{9*10}{92*91} = 0.0108

0.0108 = 1.08% probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random.

8 0
3 years ago
the number of students in the four sixth-grade classs at northside school are 26, 19,34 and 21. Use properties to find the total
Aleks04 [339]
In this case all you do is add all the numbers, answer is 100

4 0
3 years ago
La suma de dos números enteros consecutivos es<br> menor que 57.
g100num [7]

Answer: La respuesta es 28 y 29. Tengo que explicar?

7 0
3 years ago
‼️‼️‼️‼️‼️‼️‼️‼️Help plssss‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️
Kazeer [188]
The answer is C, point P
4 0
2 years ago
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