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lara31 [8.8K]
3 years ago
8

Find the volume of the composite solid. Round your answer to the nearest hundredth.

Mathematics
1 answer:
zlopas [31]3 years ago
8 0
I believe the answer is C. 304.51 yd
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Michael drove from home to work at an average speed of 45 mph. His return trip home took 45 minutes longer because he could only
Xelga [282]

The distance from his home to his work place is 118.125 miles

<h3>How to find the distance from his home to his work place?</h3>

He drove from home to work at an average speed of 45 mph. Therefore,

speed = 45 mph

let

time = x

speed = distance / time

distance = 45x

His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,

45 minutes = 0.75 hours

distance = 35(x + 0.75)

distance = 35x + 26.25

Therefore,

45x = 35x + 26.25

45x - 35x = 26.25

10x = 26.25

x = 26.25 / 10

x = 2.625

Therefore,

distance = 45(2.625) = 118.125 miles

learn more on distance here: brainly.com/question/21329221

#SPJ1

3 0
2 years ago
A drum has a diameter of 26 inches and is 15 inches deep. Find the volume of this drum.
Rainbow [258]

Answer: 7964.97 in³

Step-by-step explanation:

A drum is a cylinder. Therefore, we will have to calculate the volume of a cylinder which will be:

Volume = πr²h

where π = 3.142

r = Diameter/ 2 = 26/2 = 13

h = 15

Volume = πr²h

= 3.142 × 13² × 15

= 3.142 × 169 × 15

= 7964.97 in³

7 0
3 years ago
Janet completed this entire column of math homework in 10 minutes. How many seconds per question did Janet spend?
puteri [66]

Answer:

Assuming that Janet spent an equal amount of time on each question, he would have spent 75 seconds on each question.

Step-by-step explanation:

10 minutes = 600 seconds

600 seconds / 8 questions = 75 seconds.

5 0
4 years ago
The distribution of the number of siblings for students at a large high school is skewed to the right with mean 1.8 siblings and
morpeh [17]

Answer:

E. Approximately normal with standard deviation less than 0.7 sibling

Step-by-step explanation:

To solve this question, we use the Central Limit theorem.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

Skewed right distribution, with \mu = 1.8, \sigma = 0.7

Sampling distribution of the sample mean for samples of size 100

By the Central Limit Theorem, they will be approximately normal, with mean \mu = 1.8, and standard deviation s = \frac{0.7}{\sqrt{100}} = 0.07

So the correct answer is:

E. Approximately normal with standard deviation less than 0.7 sibling

4 0
3 years ago
Which answer is an equation in point-slope form for the given point and slope?
Butoxors [25]

Answer:

Step-by-step explanation:

Point-slope equation for line of slope m that passes through (x₀,y₀):

y-y₀ = m(x-x₀)

In your case, m=5 and (x₀,y₀)=(1,9):

y-9 = 5(x-1)

5 0
3 years ago
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