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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 22 feet? (Round to the nearest tenth.)

A. 20 feet

B. 14.4 feet

C. 8.9 feet

D. 17.7 feet

Answer Explanation:

 Let the unknown length of the x. The resulting rectangle is shown below.

Then, we apply the Pythagoras theorem to find the value of x as:

The value of the unknown length is approximately 17.7 feet.

Therefore, the Correct Answer is D.

More Questions on TEAS 7 Math

  • Q #1: A recipe calls for 6 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?

    A. 34.33 mL

    B. 29.58 mL

    C. 25.59 mL

    D. 12.32 mL

    Answer Explanation

    To find the amount of vanilla in mL, we set up an equation in a way the unwanted units cancel out and leave the wanted unit we are looking for. Then,

    Thus, a recipe of 6 teaspoons equals 29.58 mL.

     

  • Q #2: How many milliliters are there in 3.9 liters?

    A. 390

    B. 0.39

    C. 3, 900

    D. 39

    Answer Explanation

     we use the relation 1 L=1000 mL to convert 3.9 L to mL as follows.

    Thus, 3.9 L is 3900 mL.

  • Q #3: Which of the following is the best approximation of 5 times the positive square root of 29?

    A. 100.0

    B. 44.7

    C. 20.5

    D. 26.9

    Answer Explanation

     we use the calculator to determine the positive square root of 20, which is then multiplied by 20.

    Using the calculator,

     

    Multiplying the square root above with 5 becomes

    The approximate value is 26.9.