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3 years ago

Estimate the sum: 1 3/7 + 3 5/9 + 1/2. Show your work.

2 answers:

8 0

Add 1 3/7 and leave it like that, and then do 9x3=27+5=32 so it’s gonna be 32/9 and then calculate the sum into 691/126 or u can divided more into 5 61/126

MakcuM [25]3 years ago

6 0

Answer:

The correct answer is 5 61/126!

Step-by-step explanation:

Leave a fraction alone

1 3/7

Find the Addend

9x3=27+5=32 = 32/9

Find the sum and simplify

1 3/7 + 32/9 = 691/126 = 5 61/126

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====================================================

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1 year ago

A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere

pentagon [3]

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$V=298.5cm^3$

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

$SA=4\pi r^2$

from this formula we clear the radius r:

$r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }$

and we substitute the known value of the surface area, and also the value of $\pi$ :

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and now that we know the radius we find the volume:

$V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3$

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3 years ago