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netineya [11]
3 years ago
10

Marjorie drops an object from a height of h meters, and it hits the ground with a velocity of v m/s, as given by the function v

equals square root of 19.6 h. If the velocity of the object is 81.4 m/s, what was the height of the object before it was dropped? Round your answer to the nearest tenth.
Mathematics
1 answer:
Savatey [412]3 years ago
7 0

Answer:

The object was dropped at a height of 338.1 meters.

Step-by-step explanation:

According to the statement, the function velocity (v), in meters per second, in term of the initial height of the object (h), in meters, is represented by:

v = \sqrt{19.6\cdot h} (1)

This formula represents a particular case of a free fall analyzed by means of the Principle of Energy Conservation. If we know that v = 81.4\,\frac{m}{s}, then the height of the object before being dropped is:

h = \frac{v^{2}}{19.6}

h = 338.059\,m

The object was dropped at a height of 338.1 meters.

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Answer:

First consider the original amount.

Then consider the rate of tax or markup

To find the tax or markup, multiply the rate by the original amount.

To find the total cost, add the tax or markup to the original amount.

Step-by-step explanation:

Example

A phone has a listed price of $790 before tax. If the sales tax rate is 6.5% find the total cost of the phone with sales tax included. Round your answer to the nearest cent as required.

Solution

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7 0
3 years ago
3. Use Structure Shari is drawing a tree diagram
Alborosie

The sample space of Shari's tree diagram is the total possible outcomes of rolling the game piece and spinning the pointer.

It doesn't matter if Shari starts with the spinner or the game piece

<h3>How to determine the tree diagram</h3>

The experiment involves:

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If Shari starts with the game piece, the sample size (n) would be:

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2 years ago
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2 years ago
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andrezito [222]

Answer:

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Step-by-step explanation:

Given the expression:

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Using the distributive property: a \cdot (b+c) =a\cdot b+a\cdot c

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7 0
3 years ago
Read 2 more answers
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