Which of the following is the length of the unknown leg of a right triangle that has one leg length of 13 feet and a hypotenuse of 25 feet? (Round to the nearest tenth.)

A. 32 feet

B. 8 feet

C. 21.4 feet

D. 24 feet

Answer Explanation:

From the given data, we can draw the following triangle by letting the unknown length to be p.

We apply the Pythagoras theorem, the value of p:

The unknown length of the triangle is about 21.4 feet.

Therefore, the Correct Answer is C.

Q #1: How many yards are in 27 feet?

A. 3 yards

B. 18 yards

C. 6 yards

D. 9 yards

Answer Explanation

Here we convert between feet and yards. We know 1 yard =3 feet. Then, 27 feet to yards will be:

Thus, 9 yards is equal to 27 ft.
Q #2: A recipe calls for 1.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?

A. 6.33 mL

B. 12.325 mL

C. 7.395 mL

D. 0.797 mL

Answer Explanation

We are asked to find mL equivalent in 1.5 teaspoons. To carry out the operations, we utilize dimensional analysis to solve this problem as follows.

Converting between teaspoon and mL uses the following conversions:

Or

Since we want to remain with mL, use the second option and proceed as follows.

Thus, 1.5 teaspoons is equal to 7.395 mL
Q #3: Which of the following relationships represents a negative correlation between two variables?

A. As a student’s class attendance decreases, the student’s overall grade remains the same

B. As the number of hours a person exercises decreases, the weight of that person remains unchanged

C. As the number of miles driven increases, the amount of the gasoline in the tank decreases

D. As the amount of water plant receives increases, the growth rate of the plant increase.

Answer Explanation

Correlation of two variables falls into:

Positive correlation: an increase in one variable causes another variable to increase

Negative correlation: an increase in one variable causes another one to decrease

No correlation: a change in one variable does not cause any response in another variable.

From the given choices

Option a is no correlation

Option b is a no correlation

Option c is a negative correlation

Option d is a positive correlation