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tester [92]
3 years ago
12

A trapezoid has one base equal to twice its height, $x$, and the other base is three times as long as the height. Write the expr

ession for the area of the trapezoid as a common fraction in terms of the height $x$.
Business
1 answer:
MissTica3 years ago
6 0

Answer:

\frac{5x^2}{2}

Explanation:

Let x represent height of the trapezoid.

We have been given that a trapezoid has one base equal to twice its height, so one base of trapezoid would be 2x.

We are also told that the other base is three times as long as the height, so other base of trapezoid would be 3x.

Now, we will use area of trapezoid formula to write our required expression.

\text{Area of trapezoid}=\frac{a+b}{2}\cdot h, where, a and b represent parallel bases of trapezoid and h represents height.

Upon substituting the expressions for bases of trapezoid in area formula, we will get:

\text{Area of trapezoid}=\frac{2x+3x}{2}\cdot x

\text{Area of trapezoid}=\frac{5x}{2}\cdot x

\text{Area of trapezoid}=\frac{5x^2}{2}

Therefore, our required expression for the area of the trapezoid as a common fraction in terms of the height would \frac{5x^2}{2}.

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Answer: Cost plus contact

Explanation:

A cost-plus contract is a form of contract whereby the contractor is paid for all of its allowed expenses including additional payments in order to allow for a profit.

A cost plus contract is usually used when the quality, delivery time and performance is of more importance than the cost. In cost plus contract, the final cost may be smaller than the fixed cost because the contractors don't usually inflate price and also as a result of lesser price competition.

A cost price contract also gives more room for control and oversight over a contractors work and is also flexible which gives room for specification changes.

4 0
3 years ago
Miller, Inc. has 5,000 shares of 6%, $400 par value, cumulative preferred stock and 100,000 shares of $4 par value common stock
grin007 [14]

Answer:

$40,000

Explanation:

Calculation to determine the amount of dividends received by the common stockholders in 2017

First step is to calculate the preferred stock

Preferred stock=(5,000 shares*$400)*6%

Preferred stock=$2,000,000*6%

Preferred stock=$120,000

Now let calculate the amount of dividends received by the common stockholders in 2017

Dividend Received=($200,000-$120,000)/2

Dividend Received=$80,000/2

Dividend Received=$40,000

Therefore the amount of dividends received by the common stockholders in 2017 will be$40,000

4 0
3 years ago
Lydia finds a car that costs $13,000, and she has $2,500 saved for a down payment. If she qualifies for a 5% interest rate, how
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15,500 is the answer
5 0
4 years ago
Beaver Company purchased land as a factory site for $400,000. The process of tearing down two old buildings on the site and cons
Anna11 [10]

Answer:

When it comes to capitalizing assets, all expenses that relate to the acquisition and installation of the asset will be capitalized.

Land

= Cost of land + razing cost + Legal fees + Title insurance - Salvaged lumber

= 400,000 + 42,000 + 1,850 + 1,500 - 6,300

= $‭439,050‬

Building

= Survey cost + Drawn up factory plans + liability insurance + Construction cost + interest cost

= 2,200 + 68,000 + 900 + 2,740,000 + 170,000

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3 years ago
Assuming that the Gini coefficient for Egypt is 0.403 and the Gini coefficient for Australia is 0.404, it is possible to conclud
artcher [175]

Answer:

The correct answer is . d. none of the above.

Explanation:

Gini coefficient is a measure of the inequality devised by the Italian statistician Corrado Gini. It is normally used to measure income inequality, within a country, but it can be used to measure any form of unequal distribution. The Gini coefficient is a number between 0 and 1, where 0 corresponds to perfect equality (all have the same income) and where the value 1 corresponds to perfect inequality (one person has all income and none others ). The Gini index is the Gini coefficient expressed in reference to a maximum of 100, instead of 1, and is equal to the Gini coefficient multiplied by 100. A variation of two cents of the Gini coefficient (or two units of the index) is equivalent to a distribution of 7% of wealth from the poorest sector of the population (below the median) to the richest (above the median).

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