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TEA [102]
3 years ago
8

The ratio of the volumes of two similar circular cylinders is 27:64. What is the ratio of the

Mathematics
1 answer:
egoroff_w [7]3 years ago
6 0

The ratio of their bases = 3√3 : 8

Step-by-step explanation:

Given,

The ratio of the volume of two cylinders is 27:64.

To find the ratio of the diameters of the cylinders of their base.

Formula

Let, the radius and height of a cylinder is r and h. The volume of the cylinder V = πr²h

Let,

Radius of cylinder 1 is R and the radius of the cylinder 2 is r.

The height of the both cylinder is h.

According to the problem,

πR²h= 27a and πr²h= 64a

So,

πR²h : πr²h = 27a:64a

or, R²:r² = 27:64

or, R:r = 3√3 : 8

Hence,

The ratio of their bases = 3√3 : 8

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Write a recursive and explicit formula for each option.

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Save a nickel on the first day of the month and then double the amount each day for a month

=> a1 =0.05

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=> a3 = a2*2 = a1* 2*2

..............................................

=>recursive an = a_{n-1} *2

=> explicit an = 0.05*2^{n-1}

  • The Gaineys

Start their savings by saving  $10  on the first day and then  $10  each day of the month

=> a1 = 10

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=> recursive an = a_{n-1} +10

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Hope it will find you well.

8 0
2 years ago
Riley is playing a game that requires rolling a number cube numbered 1-6 and spinning a spinner with three consonants and one vo
Ghella [55]

Answer:

1/8 :)

Step-by-step explanation:

1/8 is correct because 12.5*8=100

5 0
3 years ago
Which point is located at (–1, 3)? On a coordinate plane, point A is 1 unit to the right and 3 units down. Point B is 3 units to
Marizza181 [45]

Answer:

Point C.

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When the x-value is negative, the point is moving left. In this case, the point is moving left 1.

When the y-value is positive, the point is moving up. In this case, the point is moving up 3.

Only Point C fits the description.

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3 years ago
In ΔOPQ, the measure of ∠Q=90°, OQ = 80, QP = 39, and PO = 89. What ratio represents the cosecant of ∠P?
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Answer:

cos(O) = 39 / 89

Step-by-step explanation:

Given:

ΔOPQ, where

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PO = 89

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cos(O) = Adjacent / Hypotenuse

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3 0
3 years ago
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I need help please with this question
uranmaximum [27]

Answer:

around like 33.50$

Step-by-step explanation:

All you have to do is take the number of hours times the amount of money per hour ( so like the equation would look like y=5x) and since the 45 minutes isn't a full hour it shouldn't matter. Just in case though we'll consider the 45 minutes and make it a .7 and multiply that by 5 as well and we get 3.5. Now we just take 5*6+3.5 and bang.

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