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3 years ago

If every side of a triangle is doubled, then what is the increase in the area of the triangle

Mathematics

1 answer:

SIZIF [17.4K]3 years ago

4 0

think the area would be 2x

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Max built a rectangular Prism and a rectangular Pyramid using beach sand. The prism and the pyramid have the same base area and

vova2212 [387]

Answer:

Three times

Step-by-step explanation:

Given

Figures: Rectangular Prism and Rectangular Pyramid

Let the dimension of the prism be:

$l = length$

$w = width$

$h = height$

Amount of sand used is the volume (V1) and it is calculated using;

$V_1 = l * w * h$

$V_1 = lw h$

Since the pyramid has the same base area and height as the prism, the its dimension would be:

$l = length$

$w = width$

$h = height$

Amount of sand used is the volume (V2) and it is calculated using;

$V_2 = \frac{1}{3}*(lwh)$

So, we have:

$V_1 = lw h$

$V_2 = \frac{1}{3}*(lwh)$

Substitute lwh for V1 in the second equation

$V_2 = \frac{1}{3}V_1$

Multiply both sides by 3

$3 * V_2 = \frac{1}{3}V_1 * 3$

$3 * V_2 = V_1$

Reorder

$V_1 = 3 * V_2$

$V_1 = 3 V_2$

Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid

3 0

3 years ago

A cargo plane flew from the US across the Atlantic at 212 mph, and flew back to the US at 232 mph. Given that the first trip too

expeople1 [14]

The return trip was 21.2 hours long.

Step-by-step explanation:

Given,

Speed of plane from US = 212 mph

Speed of plane on return trip = 232 mph

Let,

x be the time taken on return trip.

Time taken from US = x+2

We know that;

Distance = Speed * Time

Distance of plane from US = 212(x+2) = 212x+424

Distance on return trip = 232x

As the distance will be same, therefore,

$232x=212x+424\\232x-212x=424\\20x=424$

Dividing both sides by 20

$\frac{20x}{20}=\frac{424}{20}\\x=12.2\ hours$

The return trip was 21.2 hours long.

Keywords: distance, speed

Learn more about speed at:

#LearnwithBrainly

5 0

4 years ago

Which linear inequality is represented by the graph?

julia-pushkina [17]

Please where is the graph

8 0

3 years ago

-4x + 6 + 2x + 5, Solve for X

pychu [463]

-4x + 2x = -2x
6 + 5 = 11
Therefore, 11 - 2x = 0
11 = 2x
x = 11/2 = 5.5

8 0

3 years ago

A. 37 b. 62 c. 60 d. 39

horsena [70]

Answer:

39 lang po

Step-by-step explanation:

samatolong sana lag Yan nyo po Ng brainlest

8 0

3 years ago

Read 2 more answers

If every side of a triangle is doubled, then what is the increase in the area of the triangle ​

If every side of a triangle is doubled, then what is the increase in the area of the triangle