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4 years ago

Find the diameter of a cone that has a volume of 83.74 cubic inches and a height of 5 inches. Use 3.14 for pi.

1 answer:

3 0

The solution to the problem is as follows:

Given: V = 83.74 in^3 ; h = 5 in

Solution:

V = 1/3 pi*r^2*h
V = 1/3 pi*1/4*d^2*h

sqrt(d) = sqrt (12V/pi*h)
d = sqrt(12(83.74)/(3.14)(5))

d = 8.6 in

Therefore, letter C 8 in.

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Set up an equation and solve the following problem.

nordsb [41]

Answer:

The speed of Dave is 42 miles per hour

The speed of Kent is 46 miles per hour .

Step-by-step explanation:

Given as :

The distance cover by Dave = d = 210 miles

The time taken by Dave = t hour

The speed of Dave = s miph

Again

The distance cover by Kent = D = 230 miles

The time taken by Kent = T hour

The speed of Kent = S = (s + 4 ) miph

For Dave

Time = $\dfrac{\textrm Distance}{\textrm Speed}$

So, t = $\dfrac{\textrm d miles}{\textrm s miph}$

Or, t = $\dfrac{\textrm 210 miles}{\textrm s miph}$

For Kent

Time = $\dfrac{\textrm Distance}{\textrm Speed}$

So, T = $\dfrac{\textrm D miles}{\textrm S miph}$

Or, T = $\dfrac{\textrm 230 miles}{\textrm (s + 4) miph}$

∵ Time taken by both is same

So, t = T

Or, $\dfrac{\textrm 210 miles}{\textrm s miph}$ = $\dfrac{\textrm 230 miles}{\textrm (s + 4) miph}$

Or, 210 × (s + 4) = 230 × s

Or, 210 × s + 210 × 4 = 230 × s

Or, 210 × 4 = 230 × s -210 × s

Or, 210 × 4 = 20 × s

∴ s = $\dfrac{840}{20}$

i.e s = 42 miph

So, The speed of Dave = s = 42 miles per hour

Again

The speed of Kent = S = (s + 4 ) miph

i.e S = 42 + 4

or, S = 46 miph

So, The speed of Kent = S = 46 miles per hour

Hence,The speed of Dave is 42 miles per hour

And The speed of Kent is 46 miles per hour . Answer

8 0

3 years ago

If Jesse wants to buy a $75,000 10-year term life insurance policy, and the annual premium rate (per $1000 of face value) for hi

andriy [413]

Your answer is a 175.50

5 0

4 years ago

Read 2 more answers

A)80 B)100 C)120 D)300

natulia [17]

So like my brother did the math but we got something that wasn’t up there lol. but the closest one is 300

5 0

3 years ago

Help me yall this for me aint it.

aleksandrvk [35]

Answer:

20(4 + 5)

Step-by-step explanation:

GCF is just the biggest number each value can be divided by. Here, it's 20, so that goes outside of the parenthesis. Now, what can you multiply by 20 to get 80? 4, so that goes in the second box. What can you multiply by 20 to get 100? 5, so that goes in the last box. You can check your answer by doing 80 + 100 = 180; 20(9) = 180.

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3 years ago

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What is the solution to -3/7m < 21

Anika [276]

Simplify 3/7m to 3m/7

-3m/7 < 21

Multiply both sides by 7

-3m < 21 × 7

Simplify 21 ×7 to 147

-3m < 147

Divide both sides by -3

m > -147/3

Simplify 147/3 to 49

m > -49

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3 years ago

Read 2 more answers