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3 years ago

Solve to inequality 5/6v < 8/5

1 answer:

4 0

$\dfrac{5}{6}v \ \textless \ \dfrac{8}{5}\ \ \ |multiply\ both\ sides\ by\ \dfrac{6}{5}\\\\\dfrac{6}{5}\cdot\dfrac{5}{6}v \ \textless \ \dfrac{6}{5}\cdot\dfrac{8}{5}\\\\v \ \textless \ \dfrac{48}{25}\to v\in\left(-\infty;\ \dfrac{48}{25}\right)$

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4 years ago

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3 years ago

Read 2 more answers

Compare the two figures. How many times bigger or smaller is the cone to

Gemiola [76]

Answer:

The proportion of the volume of the cone to the volume of the pyramid is: 3.14 times bigger.

Step-by-step explanation:

Given the information of the cone:

The height: 12 inches
The radius of the base is : 10/2= 5 inches

=> the volume of the cone

= 1/3π $r^{2} *h$

= 1/3*3.14* $5^{2} *12$

= 314 cubic inches

Given the information of the pyramid:

the height: 12 inches
The base is a suqare with a side lengh = 5 inches

=> the volume of the pyramid:

= 1/3*Bh (where B is the area of the base)

= 1/3*5*5*12

= 100 cubic inches

The proportion of the volume of the cone to the volume of the pyramid is:

= 314 /100

= 3.14 times bigger.

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3 years ago