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Fittoniya [83]
2 years ago
9

A pyramid has a base that is a right triangle with legs measuring 15 cm and 24 cm. The height of the pyramid is 13 cm. What is t

he volume of the pyramid? Enter your answer in the box. cm³
Mathematics
1 answer:
DENIUS [597]2 years ago
3 0

Answer:

\boxed{780}\ cm^3

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

  V = 1/3·B·h

where B represents the area of the base and h represents the height.

The area of a triangle is given by the formula ...

  A = 1/2·b·h

where b represents the length of the base of the triangle, and h represents the height of the triangle.

For a right triangle, the base and height can be taken to be the lengths of the two legs. Then we have

  A = 1/2·(15 cm)·(24 cm) = 180 cm²

The volume of the pyramid is then ...

  V = 1/3·(180 cm²)(13 cm) = 780 cm³

The volume of the pyramid is 780 cm³.

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What is 5 (3x + 2y) -2 (3x + 2y) ?
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Answer:

9x+6y is your simplified answer

Step-by-step explanation:

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3 years ago
Which expression will give the new price of a $15 item marked up by 28%
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C

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Step-by-step explanation:


7 0
3 years ago
A rectangle has a width represented by the expression 2y and a length represented by 12y - 5. which expression represents the ar
docker41 [41]

Correct option is B. Area of rectangle is 24y^{2} - 10 y

We know that area of rectangle = Length × Width

We are given,

Length = 12y - 5

Width = 2y

So, area of rectangle = (12y - 5) × (2y)

=   (12y - 5) × (2y)

=   (12y ×  2y) - (5 × 2y)

=   24 y^{2} - 10 y

<h3>What are algebraic equations?</h3>

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants. Also Check: Algebraic Expressions. In simple words, equations mean equality i.e. the equal sign.

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6 0
1 year ago
The weight of a bull clad is 388 kilograms. If it’s weight increases at a rate of 1 2/5 kilograms per day how long it will take
Alex73 [517]

Answer:

It will take  <u><em>80 days</em></u>  for the bull calf to reach a weight of 500 kilograms.

Step-by-step explanation:

Given:

The weight of a bull calf is 388 kilograms.

Now, to find the weight of bull calf of how long it will take to reach a weight of 500 kilograms, if it’s weight increases at a rate of 1 2/5 kilograms per day.

Required weight which to be increased = 500 - 388 = 112 kilograms.

Rate of weight increase = 1\frac{2}{5}=\frac{7}{5}

                                        = 1.4\ kilograms.

Thus, the time required = \frac{required\ weight}{rate\ of\ weight}

                                        = \frac{112}{1.4}

                                        = 80.

<em>The time required   =    80 days</em>.

Therefore, it will take 80 days for the bull calf to reach a weight of 500 kilograms.

5 0
3 years ago
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