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Amanda [17]
3 years ago
11

I don’t know what to do. Can you please help me.

Mathematics
1 answer:
konstantin123 [22]3 years ago
7 0

Answer:

66.67 %

Step-by-step explanation:

The surface area of a cake (cylinder) = 2πr² + 2πrh

but since we are not including bottom for chocolate cake so the formula changes to = 2ℎ+²

<h3>S.A of cake </h3>

πr² + 2πrh

π4² + 2π(4)(4)

16π + 32π

48π inches

<h3>S.A of chocolate</h3>

2ℎ+²(top)

24(2) + (4)²

16 + 16

32 inches

Percentage of cake that is chocolate = S.A of chocolate/S.A of cake * 100%

Percentage of cake that is chocolate = 32 inches/48π inches * 100%

Percentage of cake that is chocolate = 66.67%

(Assuming that top of chocolate is included)

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What is the sum of all of the perfect squares between
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Answer:

(-138) is the answer.

Step-by-step explanation:

Perfect square numbers between 15 and 25 inclusive are 16 and 25.

Sum of perfect square numbers 16 and 25 = 16 + 25 = 41

Sum of the remaining numbers between 15 and 25 inclusive means sum of the numbers from 17 to 24 plus 15.

Since sum of an arithmetic progression is defined by the expression

S_{n}=\frac{n}{2}[2a+(n-1)d]

Where n = number of terms

a = first term of the sequence

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S_{8}=\frac{8}{2} [2\times 17+(8-1)\times 1]

   = 4(34 + 7)

   = 164

Sum of 15 + S_{8} = 15 + 164 = 179

Now the difference between 41 and sum of perfect squares between 15 and 25 inclusive = 41-179

= -138

Therefore, answer is (-138).

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