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Natasha_Volkova [10]

3 years ago

5

Find the height of the prism if the length is 9 inches, the width is 5 inches, and the volume of the prism is 315 cubic inches.

1 answer:

trasher [3.6K]3 years ago

5 0

Answer:

Height of prism = 7 inches

Step-by-step explanation:

Let h be the height of prism.

Hence,

$h = \frac{vol \: of \: prism}{l \times w} \\ \\ = \frac{315}{9 \times 5} \\ \\ = \frac{315}{45} \\ \\ h= 7 \: inches$

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What is the sum of series is numbers 64&66 ?<br> Using the summation notation

iragen [17]

Answer:

64. 6138

66. 8.078125

Step-by-step explanation:

Let's take it one number at a time.

For number 64:

$6(2)^{1-1}=6$

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$6(2)^{3-1}=24$

$6(2)^{4-1}=48$

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Sum = 6138

For number 66:

$12(-\frac{1}{2})^{0}=12$

$12(-\frac{1}{2})^{1}=-6$

$12(-\frac{1}{2})^{2}=3$

$12(-\frac{1}{2})^{3}=-1.5$

$12(-\frac{1}{2})^{4}=0.75$

$12(-\frac{1}{2})^{5}=-0.375$

$12(-\frac{1}{2})^{6}=0.1875$

$12(-\frac{1}{2})^{7}=-0.0078125$

$12(-\frac{1}{2})^{8}=0.046875$

$12(-\frac{1}{2})^{9}=-0.0234375$

Sum = 12 + -6 + 3 + -1.5 + 0.75 + -0.375 + 0.1875 + -0.0078125 + 0.046875 + -0.0234375

or to make things simpler:

Sum = 12 - 6 + 3 - 1.5 + 0.75 - 0.375 + 0.1875 - 0.0078125 + 0.046875 - 0.0234375

Sum = 8.078125

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