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3 years ago

9

A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radiu

s of 3 inches. Determine the height

1 answer:

Sloan [31]3 years ago

7 0

Answer:

so lets get the cones volume first the formula for a cone is V=πr2/3

so V=πr2h

3=π·22·3

3≈12.56637

and then the height of the cylinder is 4

Step-by-step explanation:

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Answer:

A.) $2,166

B.) $10,545

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Step-by-step explanation:

Floor - - - - - - - - - - 1 - - - - - - - 2 - - - - - - - 3

Cost / window - - $2.00 - - - $2.50 - - - $3.00

Cost of washing first floor = $2 × 38

Cost of second floor is: (2 + 0.5) × 38

Cost of third floor is: (2 + 2 × 0.5) × 38

Cost of n floor : (2 + (n - 1) × 0.5) × 38

Therefore,

Total cost :

(2 + (2 + 0.5) + (2 + 2*0.5) + ... + (2 + (n - 1)*0.5)) × 38

Using Arithmetic progression for the sequence :

2, (2 + 0.5), (2 + 2*0.5),..., (2 + (n - 1)*0.5)

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Sum of the first n terms of arithmetic sequence terms is:

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S = (n/2)(2*2 + (n - 1)*0.5)

S = (n/2)(4 + 0.5n - 0.5)

S = (n/2)(3.5 + 0.5n)

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(12/2)(3.5 + 0.5(12)) × 38

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B.) if building is 30 stories tall:

n = 30

(30/2)(3.5 + 0.5(30)) × 38

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I've attached an image showing the coordinates of Ship A and Ship B.

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Step-by-step explanation:

From the image attached, we can see that;

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Coordinate of ship B is (1, 1)

Now, we are told that Ship A receives a distress signal from the southwest, and ship B receives a distress from the same vessel from the north.

This means that the distressed ship is somewhere in between ship A & B.

To solve this, we will extend the arrow line from Ship A in that same SW direction and we will do the same for ship B in the same North direction. Their point of intersection is where the distressed ship is located.

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