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AlekseyPX
3 years ago
7

Name three other real-world situations where a strategy, "plan of attack, or

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
8 0

Answer:

1.

Planning a wedding .

2.  

A huddle in and practice before a football game.

3.

The passing of a Constitutional Amendment.

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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
What is the measure of Angle z?
denis-greek [22]

Answer:

Angle z makes a 180° angle when added to the angle of 124° in the first image, because they are on the same side of a straight line. Just subtract 124 from 180. =56 For the second picture, angle m will be the same as angle z because of the properties involved.

Step-by-step explanation:

8 0
3 years ago
Use the distributive property to simplify each expression<br> (2b - 10) 3.2
Darya [45]

Answer: 6.4b - 32

Step-by-step explanation:

4 0
3 years ago
SIMPLIFY USING THE DISTRIBUTIVE PROPERTY OF RATIONAL NUMBERS<br> 1/5+ (2/5+3/5)
Lemur [1.5K]

Answer:

6/5

Step-by-step explanation:

1/5 + (2/5 + 3/5)

solve for the bracket first

1/5 +(2+3/5)

1/5 + (5/5)

1/5 + 1

1+1*5/5

6/5

another method

1/5 + (2/5 +3/5)

open brackets)

1/5 + 2/5 + 3/5

since their denominator are same u can add their numerator

1+2+3/5

6/5

4 0
2 years ago
1. The student government snack shop sold 32 items this week.
Anna35 [415]

fruit cup:8/32=

1/4=

25percent

veggie sticks:6/32=

3/16=

18.75percent

chips:14/32=

7/16=

43.75percent

water:4/32=

1/8=

12.5percent

5 0
2 years ago
Read 2 more answers
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