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amid [387]
3 years ago
5

A manufacturing company produces two sizes of cylindrical containers that each have a height of 50 centimeters. The radius of Co

ntainer A is 16 centimeters, and the radius of Container B is 25% longer than the radius of Container A. What is the volume, in cubic centimeters, of Container B? Volume of a cylinder = πr^2h, where r is the radius and h is the height
Mathematics
1 answer:
ira [324]3 years ago
3 0

Answer:

Volume of B=62800cm^3

Step-by-step explanation:

We are given  

Height = 50 cm

Radius of A=16cm

Radius of Cylinder B is 25% more than that of A

Radius of B = 16 + \frac{25}{100}*16 cm =16+4= 20 cm

Volume of cylinder B = pi*r^2*h

                                   =3.14 * (20)^2*50

                                    =62800cm^3

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In the diagram, WZ=StartRoot 26 EndRoot.
gogolik [260]

Answer:

P = 8 + 2\sqrt{26}

Step-by-step explanation:

Given

W = (-2, 4)

X = (2, 4)

Y = (1, -1)

Z = (-3,-1)

Required

The perimeter

First, calculate the distance between each point using:

d = \sqrt{(x_1 - x_2)^2 + (y_1 -y_2)^2

So, we have:

WX = \sqrt{(-2- 2)^2 + (4-4)^2 } =4

XY = \sqrt{(2- 1)^2 + (4--1)^2 } =\sqrt{26}

YZ = \sqrt{(1- -3)^2 + (-1--1)^2 } =4

ZW = \sqrt{(-3--2)^2 + (-1-4)^2 } =\sqrt{26}

So, the perimeter (P) is:

P = 4 + \sqrt{26} + 4 + \sqrt{26}

P = 8 + 2\sqrt{26}

8 0
3 years ago
-12x=-10 can give Brainly
stiv31 [10]

Answer:

x = 5/6

Step-by-step explanation:

-12x=-10

Divide each side by -12

-12x/-12 = -10/-12

x = 5/6

7 0
3 years ago
Read 2 more answers
Please help<br><br> Check answers
Law Incorporation [45]

Answer:

Number 8 the answer is 120

Number 10 answer is 115

Step-by-step explanation:

8. 180-60=120

it's because the straight line is 180 then you just need to solve it use this

10. 180-65=115

the reason same like number 8

Hope this answer can help you to solve the math problems

6 0
3 years ago
Kathy runs a 26.2 mile marathon at an average pace of 6.2 minutes per mile. how long will it take her to finish the marathon? ro
bulgar [2K]
You basically just need to multiply 26.2 by 6.2

see picture for work and answer:

8 0
4 years ago
A survey of 1000 air travelers1 found that 60 % prefer a window seat. The sample size is large enough to use the normal distribu
stira [4]

Answer:

The 90% confidence interval is 0.575 to 0.625.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 1000, \pi = 0.60

90% confidence interval

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.60 - 1.645\sqrt{\frac{0.60*0.40}{1000}} = 0.575

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.60 + 1.645\sqrt{\frac{0.60*0.40}{1000}} {119}} = 0.625

The 90% confidence interval is 0.575 to 0.625.

3 0
3 years ago
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