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LenKa [72]
3 years ago
9

What is the lateral surface area

Mathematics
1 answer:
aivan3 [116]3 years ago
5 0
Since lateral surface of an object is the area of all the sides of the object, except the area of its base and top.

It is:

7 * 3 = 21

21 * 2 = 42

12 * 3 = 36

36 * 2 = 42

42 + 42 = 84 in2

and there goes your answer.

A: 84 in2.
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What is the sum of the arithmetic sequence 3, 9, 15..., if there are 24 terms? (5 points)
Vinil7 [7]

There's a fixed difference of 6 between terms (9 - 3 = 6, 15 - 9 = 6, and so on). The first term of the sequence is 3, so the n-th term is

3 + 6(n-1) = 6n - 3

If there are 24 terms in the sum, then the last term is 6×23 - 3 = 135.

Let S be the sum,

S = 3 + 9 + 15 + \cdots + 123 + 129 + 135

Reverse the order of terms:

S = 135 + 129 + 123 + \cdots + 15 + 9 + 3

If we add up the terms in the same positions, we get twice S on the left side, while on the right side we observe that each pair of terms will sum to 138.

S + S = (3 + 135) + (9 + 129) + (15 + 123) + \cdots + (135 + 3)

2S = 138 + 138 + 138 + \cdots + 138

and since there are 24 terms in the sum, the right side is the sum of 24 copies of 138. In other words,

2S = 24 \times 138

and solving for S gives

S = \dfrac{24\times138}2 = \boxed{1656}

3 0
2 years ago
7-12, in 7&8 trace line m and point m
yKpoI14uk [10]

Answer:

sorry i neeeeeeeeeeeeeed the points

Step-by-step explanation:

5 0
3 years ago
what is the simplified expression of the following polynomial: xy4 + 5y7 - (6xy + 7y7) - x8y2 + (-3xy4) Step by Step
Gnoma [55]

Answer:

  -x^8y^2 -2y^7 -2xy^4 -6xy

Step-by-step explanation:

Eliminate parentheses.

  xy^4 + 5y^7 - 6xy - 7y^7 - x^8y^2 -3xy^4

Arrange in descending degree order, group like terms.

  -x^8y^2 +(5y^7 -7y^7) +(xy^4 -3xy^4) -6xy

Combine like terms.

  -x^8y^2 -2y^7 -2xy^4 -6xy

5 0
3 years ago
A gallon of water a room temperature Waze about 8.35 pounds Lena put 4.5 gallons in a bucket how much does the water weight
Lerok [7]
I believe its 37.58, but I may be wrong
3 0
3 years ago
Read 2 more answers
The owner of a small store buys coats for ​$60.00 each. He sells the coats for ​$96.00 each. What percent of the purchase price
Sliva [168]

The sale price of the coats is 160% of the purchase price of the coats.

<u>Step-by-step explanation:</u>

The owner buys the coats at a purchase price= $60

He sells the coats for a selling price= $96

Now, the question is:

The selling price $96 is what percentage of the purchase price $60

<u>step 1</u>: 96= x% of 60

<u>step 2</u>: 96= (x/100)*60

<u>step 3</u>: 96= 6x/10

<u>step 4</u>: 960/6 = x

<u>step 5</u>: x = 160%

3 0
3 years ago
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