Mathematics, 20.07.2019 13:30 clariii59

Laila is setting up a conical tent in the backyard. the height of the tallest part of the tent is 7 feet. the inside of the tent has a volume of 56 cubic feet. how many square feet are covered by the base of the tent?

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Hello!

Conical means that the shape is a cone

You use the equation to find the volume of a cone which is

$V = \pi r^{2} \frac{h}{3}$

Put in the values you know

$56 = \pi r^{2} * \frac{7}{3}$

Divide both sides by 7/3

$24 = \pi r^{2}$

Divide both sides by pi

$7.64 = r^{2}$

Take the square root of both sides

2.76 = r

Now you use this with the equation to find the area of a circle

$A = \pi r^{2}$

A is area
r is radius

Put in the values you know

$A = \pi 2.76^{2}$

A ≈23.93

The answer is about 23.93

Hope this helps!

Answer from: Quest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

Answer from: Quest

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step-by-step explanation:

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