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Rudik [331]
2 years ago
7

Choose all of the expressions that can be used to find the volume of the rectangular prism.

Mathematics
1 answer:
Ulleksa [173]2 years ago
3 0

Answer:

C. (6 × 5) × 2 = 60 m³

D. 5 × (6 × 2)

E. (2 × 5) × 6

Step-by-step explanation:

Volume of a rectangular prism can be given as, V = L*W*H

L = 6

W = 5

H = 2

However, whichever way we choose to use as either L, W, or H, we would still get the same value as the volume.

Thus:

✔️V = (6 × 5) × 2 = 60 m³

✔️V = 5 × (6 × 2) = 60 m³

✔️V = (2 × 5) × 6 = 60 m³

These are the three expressions that can be used to find the volume.

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The bids in an online auction are represented by the arithmetic sequence shown below. Write an explicit formula to represent the
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(a) The nth term of the sequence is given by A(n)=195 + (n - 1)10.

(b) The 12th term of the sequence is A(12) = 305.

<h3>What is an arithmetic sequence?</h3>

One arithmetic progression with a common difference of 2 is the sequence 5, 7, 9, 11, 13, 15,...

The term "finite arithmetic progression" or "arithmetic progression" refers to a limited segment of an arithmetic progression.

A mathematical sequence has the following structure: a, a+d, a+2d, a+3d, etc., up to n terms. The initial term is a, the shared distinction is d, and n is the total number of words. Find the AP, the first term, the number of terms, and the common difference for the computation using the arithmetic sequence formulae. To determine the nth term, sum, or common difference of a given arithmetic sequence, many formulae related to arithmetic series are utilized.

A(n)=195+(n-1)10

The given arithmetic sequence is 195, 205, 215, 225,.....

The first term a =195

The common difference d= 205-195

d =215-205

d =225-215

So, d = 10

(a) The nth term is given by

A(n)=a+(n-1)d

A(n)=195+(n-1)10

(b) For n=12, the 12th term is given by

A(12)=195+11(10)

A(12)=305

Therefore, A(n)=195+(n-1)10

And A(12)=305

To know more about the arithmetic sequences, visit:

brainly.com/question/15412619

#SPJ1

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