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Aleksandr [31]
3 years ago
11

The lateral area of a rectangular solid can be found using the following formula: LA = Ph, where P is the perimeter of the base,

and h is the height. Find the lateral area of the solid when a = 5 in, b = 3 in, and c = 2 in. A) 32 in2 B) 32 in3 C) 18 in2 D) 18 in3
Mathematics
2 answers:
Helen [10]3 years ago
8 0

Answer:

The solution is 32 in2. The perimeter is 16 and the height is 2. Multiplying them together gives you 32. Surface area is expressed in square units.

Lunna [17]3 years ago
7 0
First, determine the perimeter of the base by the doubling the sum of the length and the width. That is,
                              P = 2(a + b)
Substituting the known values,
                             P = 2(5 in + 3 in) = 16 in
Then, multiply the calculated value by the height to solve for the lateral area. 
                                  LA  = (16 in)(2 in) = 32 in²
Thus, the answer to this item is letter A. 
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Answer:

The second term of the sequence is 8  False ⇒ B

The third term of the sequence is 3  True ⇒ A

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Step-by-step explanation:

The form of the recursive rule is:

f(1) = first term; f(n) = f(n - 1) + d, where

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∵ f(1) = 15, f(n) = f(n - 1) - 6 for n ≥ 2

∴ The first term = 15

∴ d = -6

let us find the 2nd, 3rd, and 4th terms

∵ n = 2

∴ f(2) = f(1) - 6

∵ f(1) = 15

∴ f(2) = 15 - 6 = 9

∴ The second term is 9

∴ The second term of the sequence is 8  False

∵ n = 3

∴ f(3) = f(2) - 6

∵ f(2) = 9

∴ f(3) = 9 - 6 = 3

∴ The third term is 3

∴ The third term of the sequence is 3 True

∵ n = 4

∴ f(4) = f(3) - 6

∵ f(3) = 3

∴ f(4) = 3 - 6 = -3

∴ The fourth term is -3

∴ The fourth term of the sequence is -3 True

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