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Marysya12 [62]
3 years ago
10

What is the 32nd term of the arithmetic sequence where a1 = 14 and a13 = -58?

Mathematics
1 answer:
liq [111]3 years ago
5 0
The nth term of an arithmetic sequence is found from:
n_{th}\ term=a+(n-1)d
Plugging in the given values, we get for the 13th term:
-58=14+12d
12d =-58 - 14 = -72
d = -6
So, the 32nd term is:
a_{32}=14+(32-1)-6=-172
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Two rectangular prisms have the same volume. The area of the base of the blue prism is 216 square units. The area of the base of
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Answer:

D)The height of the red prism is three times the height of the blue prism

Step-by-step explanation:

Here is the complete question

Two rectangular prisms have the same volume. The area of the base of the blue prism is 2 1/6 square units. The area of the base of the red prism is one third that of the blue prism.

which statement is true?

a)The height of the red prism is one-third the height of the blue prism

B)The height of the red prism is the same as the height of the blue prism

C)The height of the red prism is six times the height of the blue prism.

D)The height of the red prism is three times the height of the blue prism

Solution

Since both prisms have the same volume, V = A₁h₁ = A₂h₂ where A₁ and A₂ are the areas of the red and blue prisms respectively and h₁ and h₂ are the heights of the red and blue prisms respectively. For the question, A₁ = A₂/3. Substituting this into the equation, A₁h₁ = A₂h₂

A₂h₁/3 = A₂h₂

h₁ = 3h₂ . So the height of the red prism is thee times the height of the blue prism.

5 0
3 years ago
Read 2 more answers
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