Question

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A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is
34 centimeters, and the length of the other leg is 22 centimeters. The student incorrectly says that
the length of the hypotenuse is 7.5 centimeters. Answer parts a and b.
CID
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.
The length of the hypotenuse of the right triangle to the nearest tenth of a centimeter is cm.
(Round to the nearest tenth as needed.)

Answer 1

hypotenuse = 40.5 cm

Explanation:

Use Pythagorean Theorem to find the hypotenuse.

Pythagorean Theorem

`\text{hypotenuse}^2 = \text{leg}_1^2 + \text{leg}_2^2`

It is given that one leg is 22 cm and the other 34 cm.

Using the formula above:

`\text{hypotenuse}^2 = 22^2 + 34^2 \\\text{hypotenuse}^2 = 484 + 1156\\\text{hypotenuse}^2 = 1640\\\text{hypotenuse} = √(1640) = 2√(410) \approx 40.4969`

Rounding to the nearest tenth:

`\text{hypotenuse} = 40.5 \text{ cm}`

Answer 2

The PV of the cash inflows is $15,000/1.15 + $10,000/1.152 + $5,000/1.153 = $23,892.50.

Therefore, the NPV is -$25,000 + $23,892.50 = -$1,107.50.

Since the NPV of the project is negative, you would reject the project.

Explanation: