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KatRina [158]
3 years ago
14

There is a prism with a pentagonal base the height is 8 cm the area of the pentagonal base is 30.5cm what is the volume of the p

rism
Mathematics
1 answer:
astraxan [27]3 years ago
6 0

Answer:

244 cm³

Step-by-step explanation:

Step 1: Given data

Height of the prism with a pentagonal base (h): 8 cm

Area of the pentagonal base (A): 30.5 cm²

Step 2: Calculate the volume of the prism with a pentagonal base

We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.

V = A × h

V = 30.5 cm² × 8 cm = 244 cm³

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3 years ago
The question is :
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4 years ago
What is the closed linear form for this sequence given a1 = 0.3 and an + 1 = an + 0.75?
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Answer:

The closed linear form of the given sequence is a_{n}=0.75n-0.45

Step-by-step explanation:

Given that the first term a_{1}=0.3 and a_{n+1}=a_{n}+0.75

To find the closed linear form for the given sequence

The formula for arithmetic sequence is

a_{n}=a_{1}+(n - 1)d  (where d is the common difference)

The above equation is of the given form  a_{n+1}=a_{n}+0.75

Comparing this we get d=0.75

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We can substitute these values in a_{n}=a_{1}+(n - 1)d

a_{n}=a_{1}+(n - 1)d

=0.3+(n-1)(0.75)

=0.3+0.75n-0.75

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Rewritting as below

=0.75n-0.45

Therefore a_{n}=0.75n-0.45

Therefore the closed linear form of the given sequence is a_{n}=0.75n-0.45

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Solve for k, the constant of variation, in a joint variation problem where y = 520, x = 5, and z = 6.5
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3 years ago
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