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kirill115 [55]
3 years ago
15

The moats separating people from the animals are 5 m wide for lions and 4 m wide for the elephants. If the lion’s moat is 4 m de

ep, how deep should the elephants’ moat be?
Mathematics
1 answer:
ZanzabumX [31]3 years ago
3 0

Answer:

<em>The elephants' moat should be 3.2 meters deep.</em>

Step-by-step explanation:

Suppose, the depth of the elephants' moat is  x meter.

Width of the lions' moat is 5 meter and width of the elephants' moat is 4 meter.

Given that, the lion’s moat is 4 meter deep.

So, <u>according to the ratio of width and depth</u>, the equation will be.......

\frac{5}{4}=\frac{4}{x}\\ \\ 5x=4*4\\ \\ 5x=16\\ \\ x=\frac{16}{5}=3.2

Thus, the elephants' moat should be 3.2 meters deep.

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The surface area of the actual ramp including the underside is 16.8 ft²

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<h3>What is the surface area of a right triangular prism?</h3>

A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.

The surface area of a right triangular prism

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Scale factor = 1.2 feet / 6 cm = 0.2 ft/cm

Actual base = 16 cm × 0.2 ft/cm = 3.2 ft

convert the units

9 cm = 9 cm × 0.2 ft/cm = 1.8 ft

10 cm = 10 cm × 0.2 ft/cm = 2 ft

The surface area of a right triangular prism

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Surface area of actual ramp = 2(0.5 × 3.2 ft × 1.2 ft) + 2(2 ft × 1.8 ft) + (1.8 ft × 3.2 ft)

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Hence, the surface area of the actual ramp including the underside is 16.8 ft²

Learn more about the area here:

brainly.com/question/25292087

3 0
2 years ago
What if the value of x? show all work
alina1380 [7]
For this case we can make use of the Pythagorean theorem.
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Leave a like and mark brainliest if this helped

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