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scZoUnD [109]
3 years ago
9

What is the definition of a perfect cube?

Mathematics
1 answer:
Rom4ik [11]3 years ago
3 0
<span>The definition of a perfect cube is a number that is the result of multiplying an integer by itself three times
Hope it helps</span>
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The radius of a cylindrical gift box is (3x+4) inches. The height of the gift box is three times the radius. What is the surface
liq [111]

The required equation of the surface area of the cylinder is (60\pi x^2+192\pi x+128\pi)

<u>Solution:</u>

Let "r" be the radius of cylinder and "h" be the height.

Formula for surface area is:

S= 2r^2\pi + 2r\pi h

where 2r^2\pi is surface of two bases of cylinder and 2r\pi h is surface of mantle.

From the given, the height of the gift box is three times the radius, i.e h=3r=3\times(3x+4)\rightarrow h=9x+12

On substituting the given values in the formula we get,

S = 2\times\pi[(3x+4)^2 + (9x+12)\times(3x+4)]

\Rightarrow S=2\pi[(3x^2)+2\times3x\times4+4^2]+[(9x\times3x)+12\times3x+36x+48]

\Rightarrow S=2\pi[9x^2+24x+16]+[21x^2+36x+36x+48]

\Rightarrow S=2\pi[9x^2+24x+16+21x^2+72x+48]\rightarrow2\pi[30x^2+96x+64]

On multiplying 2\pi inside the brackets we get,

\Rightarrow S=[60\pi x^2+192\pi x+128\pi]

Hence, the required equation is (60\pi x^2+192\pi x+128\pi)

5 0
3 years ago
Plz help asap beacause ya
Marianna [84]
The answer to that problem is A
7 0
3 years ago
Read 2 more answers
Duane is making cookies. The recipe calls for two times as many cups of sugar as butter, two times as many cups of oats as sugar
Ronch [10]

Answer:

Step-by-step explanation:

Let b represent the number of cups of butter needed.

Let s represent the number of cups of sugar needed.

Let o represent the number of cups of oat needed.

Let f represent the number of cups of flour needed.

The recipe calls for two times as many cups of sugar as butter. It means that

s = 2b

Two times as many cups of oats as sugar. It means that

o = 2s

Two times as many cups of flour as oats. It means that

f = 2o

If Duane puts in one cup of butter, it means that b = 1

Therefore,

s = 2 × 1 = 2 cups

o = 2s = 2 × 2 = 4 cups

f = 2o = 2 × 4 = 8 cups

Therefore, he needs to add 8 cups of flour

7 0
3 years ago
Which equation represents a circle with a center at (-3,-5) and a radius of 6 units?
brilliants [131]

Answer:

Step-by-step explanation:

The equation of a circle is:

(x - h)² + (y - k)² = r²

where (h, k) is the center and r is the radius.

Given that (h, k) is (-3, -5) and r = 6:

(x + 3)² + (y + 5)² = 6²

(x + 3)² + (y + 5)² = 36

7 0
3 years ago
Read 2 more answers
630 miles on 35 gallons of gas. How far can it drive on 12 gallons?
Nitella [24]

The answer is 216 miles


630/35 = 18

18 x 12 = 216

3 0
3 years ago
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