How do you show your work for 4.71- 3.82=

Mathematics

1 answer:

Anastaziya [24]3 years ago

3 0

Answer is 0.89 sorry for bad drawing and putting 89 as the answer instead of 0.89

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Betty had $40 in her pocket. She bought 12 identical bags of popcorn. Betty was left with $10 after buying the popcorn. What was

ser-zykov [4K]

$40-$10=$30, so Betty spent $30 on the 12 packets of popcorn. This means that we need to share the $30 by 12 to find out how much each packet had cost. $30÷12=$2.50. Therefore, your answer is $2.50.

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3 years ago

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A cup has the shape of a right circular cone. The height of the cup is 12 cm, and the radius of the opening is 3 cm. Water is po

Leviafan [203]

Answer:

The rate at which the water level is rising when the depth of the water in the cup is 5 centimeters is approximately 0.407 centimeters per second.

Step-by-step explanation:

From Geometry, we find that the volume of the cone ( $V$ ), measured in cubic centimeters, is defined by the formula:

$V = \frac{\pi\cdot \cdor r^{2}\cdot h}{3}$ (Eq. 1)

All right circular cone satisfies the following relationship:

$\frac{h}{r} = \frac{h_{max}}{r_{max}}$

$r = \left(\frac{r_{max}}{h_{max}} \right)\cdot h$ (Eq. 2)

Where:

$r$ - Radius of the right circular cone, measured in centimeters.

$h$ - Height of the right circular cone, measured in centimeters.

By applying (Eq. 2) in (Eq. 1), we get the following formula:

$V = \frac{\pi}{3} \cdot \left(\frac{r_{max}}{h_{max}} \right)^{2}\cdot h^{3}$ (Eq. 1b)

Given that $r_{max}$ and $h_{max}$ are constant, we get the rate of change for the volume of the right circular cone ( $\dot V$ ), measured in cubic centimeters per second: