What does it mean when solving volume and the problem states what is the volume in terms of pie

Mathematics

1 answer:

tigry1 [53]3 years ago

4 0

Answer:

Step-by-step explanation:

It means that you have to have pi in your answer. For example, if you were finding the area of a circle with a radius of 3, you would do (3)^2*pi and simplify it to just 9pi.

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Sydney needs to earn $35 so she can buy her father a birthday present. Her mom said she can make $6 per hour cleaning around the

emmasim [6.3K]

Answer: the required system of equations are

x + y = 6

6x + 5y = 35

Step-by-step explanation:

Let x represent the number of hours spent cleaning and y represent the number of hours spent raking leaves.

There are 6 hours available before Sydney's father's birthday party where she can either clean or rake leaves. It means that

x + y = 6

Sydney needs to earn $35 so she can buy her father a birthday present. Her mom said she can make $6 per hour cleaning around the house and $5 per hour raking leaves. This means that

6x + 5y = 35

6 0

4 years ago

Televisions and monitors come in two common aspect ratios, 4:3 and 16:9 (sometimes

kati45 [8]

Answer:

The dimension of the TV = 11.2 inches × 8.4 inches

Step-by-step explanation:

Let x be the length of the TV

Let y be the width of the TV

x : y = 4:3

$\frac{x}{y} = \frac{4}{3} \\cross-multiplying\\3x = 4y \\x = \frac{4}{3} y- - - - - (1)$

From the figure attached:

using Pythagoras theorem

x² + y² = 42²

where:

$x = \frac{4}{3} y\\(\frac{4}{3}y)^2 + y^2 = 42^2\\\frac{16}{9}y^2 + y^2 = 1764\\ \frac{16y^2}{9} + \frac{y^2}{1} = 1764\\\frac{16y^2 +9y^2}{9}= 1764\\ cross-multiplying\\16y^2 + 9y^2 = 1764\\25y^2 = 1764\\y^2 = \frac{1764}{24}\\y^2 = 70.56\\y = \sqrt{70.56} \\y = 8.4\ inches\\Finding\ x:\\x = \frac{4}{3} y\\x = \frac{4}{3} \times 8.4\\ x = 1.33 \times 8.4\\x = 11.2\ inches\\\therefore\ the\ dimensions\ are\ 11.2\ inches \times 8.4\ inches$