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Harman [31]
4 years ago
8

Two cones are similar. The surface area of the larger cone is 65π square inches. The surface area of the smaller cone is 41.6π s

quare inches. The radius of the smaller cone is 6.4 inches. What is the radius of the larger cone? 8 inches 10 inches 11.52 inches 14.4 inches
Mathematics
2 answers:
alekssr [168]4 years ago
6 0

Answer:

8

Step-by-step explanation:

Ed2020

devlian [24]4 years ago
5 0

Answer:

8 inches

Step-by-step explanation:

The surface area of a cone (without the base) is given by:

Surface area = pi*r*s

Where r is the base radius and s is the slant height.

The smaller cone has a surface area of 41.6pi in2 and a radius of 6.4 inches, so the slant height is:

41.6pi = pi*r*s

41.6 = 6.4s

s = 6.5 in

If the cones are similar, the radius and the slant height increase in the same proportion, so we have that:

r'/s' = r/s = 6.4/6.5

s' = r'*6.5/6.4

So for the larger cone, we have:

65pi = pi*r'*s'

65 = r'*r'*6.5/6.4

r'^2 = 64

r' = 8 inches

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Licemer1 [7]

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4 0
3 years ago
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pogonyaev

Answer: 91

Step-by-step explanation:

Given : The number of documentaries = 5

The number of comedies = 7

The number of mysteries = 4

The number of horror films =5

The total number of movies other than comedy = 14

Now, the number of possible combinations of 9 movies can he rent if he wants all 7 comedies is given by :-

^7C_7\times^{14}C_2\\\\\dfrac{7!}{7!(7-7)!}\times\dfrac{14!}{2!(14-2)!}\\\\=(1)\times\dfrac{14\times13}{2}\\\\=91

Therefore, the number of possible combinations of 9 movies can he rent if he wants all 7 comedies is 91 .

5 0
3 years ago
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Marina CMI [18]

The correct answer I believe you are looking for is D. Elevator 1 is 13 feet above ground level, and Elevator 2 is 10 feet below ground level.

<u>Explaination:</u>

This is because if you start at (0, 0) Elevator one, will go up 13 on the y axis. Putting it at 13 feet above ground level. If you start Elevator 2 at ground level on (0, 0) and go down 10 it will make it -10 AKA 10 feet below ground level.


I hope this helps! :)

8 0
3 years ago
Read 2 more answers
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Ksivusya [100]

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Step-by-step explanation:

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3 0
3 years ago
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anzhelika [568]

Hey there!!

Remember : R = range and f ( x ) = y and y = range

R : { 5 , 6 , 7 , 8 }

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... 5 - 4 = x / 2

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... 4 = x/2

... x = 8 = ( 8 , 8 )

Hope my answer helps!

7 0
3 years ago
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