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ser-zykov [4K]
3 years ago
10

10. GradPoint

Mathematics
1 answer:
katovenus [111]3 years ago
4 0

Answer:

The lengths 7, 40 and 41 cannot be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.

Step-by-step explanation:

You can test this by using the Pythagorean theorem, which states a^2+b^2=c^2

with 7,40 and 41

7^2+40^2 does not equal to 41^2

but with 12,16, and 20

12^2+16^2=20^2

therefore, the last statement is correct.

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Answer:

• For this one we need to split this problem into two equations:

• a (adults) + c (children) = 560

• 2a + c = $860

• Then we substitute 560 - a for c in the second equation.

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  • 2a + 560 = 860
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• Then we plug this into the first equation:

  • 265 + c = 560

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Step-by-step explanation:

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Solve the equation below for x by graphing. x ≈ -2.50 x ≈ 2.50 x ≈ -0.50 x ≈ -6.00
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Answer:

The height of the tent = 3 feet

Step-by-step explanation:

Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?

Given:

Length of the tent = 6 feet

Width of the tent = 4 feet

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Solution:

Since the ten is in shape of triangular prism, so the volume of traingular prism is given as:

where  represents length,  represents width and  represents height of the prism.

Plugging in the know values of the dimension of the tent and the volume to find the height of the tent.

Simplifying.

\frac{36}{12}=\frac{12h}{12}

3=h

∴ h=3

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Answer:

$23.98

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