A triangle with two 8

A right circular cylinder has a height of 22 1/4 ft and a diameter 2 2/5 times its height. What is the volume of the cylinder? E

uysha [10]

Since all the fractions are terminating decimals, convert all fractions to decimals for easy working.

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Height :
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Height = 22.25 ft

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Diameter :
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Diameter = 2.4 x 22.25
Diameter = 53.4 ft

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Radius :
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Radius = Diameter ÷ 2
Radius = 53.4 ÷ 2
Radius = 26.7 ft

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Volume :
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Volume of the cylinder = πr²h
Volume of the cylinder = 3.14 x 26.7² x 22.25
Volume of the cylinder = 49806.06 ft² (nearest hundredth)

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Answer : Volume = 49806.06 ft²
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3 0

4 years ago

The answer is c, but I'm stuck between b and c

Ilia_Sergeevich [38]

We have q < 0 < p < -r

Since q < 0, this means q is some negative number. The ordered pair (x,y) = (2,q) tells us that the point is below the x axis when x = 2. This does not fit graph B because it appears that an x intercept is at x = 2 (though the graph is a bit small so please provide larger versions of each graph if possible).

This does fit graph C because this point is below the x axis when x = 2.

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Then we have 0 0. So p is some positive number. The point (4,p) is some point above the x axis. We started with (2,q) being below the x axis and now we're above the x axis at (4,p). Only graph C fits this description.

Finally p < -r, so -r is some positive number larger than p. Therefore r itself is some negative number. Example: r = -10, -r = -(-10) = 10.

This means the point (6,r) is below the x axis. Once again this fits the description of what graph C is showing.

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<h3>So that is why graph C is the final answer.</h3>

Graphs A and D are ruled out because there is no transition from positive to negative or vice versa. Graph B is ruled out because of the x intercept at 2 (when that point should be below the x axis); however, the graph is a bit small so please provide a larger copy if possible. Thank you.

8 0

3 years ago

Tyler used 18 kilograms of potting soil to fill flower boxes. He had already used 23 kilograms of potting soil to fill the flowe

Nikolay [14]

Tyler used 41 kilograms of potting soil

7 0

4 years ago

Read 2 more answers

Four different towns in the same state grew in size due to a revitalization effort. The population of town A grew from 22,000 to

Savatey [412]

Answer:

Town C.

Step-by-step explanation:

Average change of population with time for town A = $\frac{24,500 - 22,000}{4} = \frac{2,500}{4} = 625$

Average change of population with time for town B = $\frac{34,770 - 31,200}{6} = \frac{3,570}{6} = 595$

Average change of population with time for town C = $\frac{22,000 - 18,000}{5} = \frac{4,000}{5} = 800$

Average change of population with time for town D = $\frac{34,100 - 32,000}{3} = \frac{2,100}{3} = 700$

Town C had the greatest average change in population over time (800/yr).

8 0

4 years ago

Which of the following expressions is correct? Select one: a. marginal cost = (change in quantity of output)/(change in total co

Natasha_Volkova [10]

Answer:

b. average total cost = total cost/quantity of output

Step-by-step explanation:

The marginal cost is the additional cost of producing one more unit of output and it can be calculated by taking the change in total cost and dividing it by the change in quantity, its formula is:

Marginal cost = change in total cost/ change in quantity

The average total cost (sometimes referred to simply as average cost) is total cost divided by the quantity of output, its formula is:

Average total cost = total cost / quantity of output

The total cost is obtained adding together the fixed costs and the variable costs, its formula is:

Total cost = fixed cost + variable cost

The average variable cost is obtained when variable cost is divided by quantity of output, its formula is:

Average variable = variable cost / quantity of output

I hope you find this information useful and interesting! Good luck!

3 0

3 years ago