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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 person weighed themselves at 160 lb. Three months later they weighed themselves at 130 lb. Which of the following is the percent of weight the person lost over 3 months? (Round to the nearest percent.)

    A. 20%

    B. 13%

    C. 19%

    D. 29%

    Answer Explanation

     the percentage change in weight is found by calculating change in weight over original multiplied by 100%.

    First, find the change in weight over the 3 months

    Change in weight lost= 1860-130=30 lb

    Thus

    The percent change in weight is 19% to the nearest whole number.

  • Q #2: Which of the following is the appropriate unit of measure to express the weight of a knife?

    A. Liter

    B. Milliliter

    C. Gram

    D. Kilogram

    Answer Explanation

    The weight of the knife could be appropriately expressed in grams. Since a knife is a small object, we do not expect to measure its weight in kilograms. Liter and milliliter are units of measuring the volume of objects.

  • Q #3: John’s uncle is twelve less than five times John’s age. Which of the equations represents John’s uncle’s age (u) as it relates to John’s age (k)?

    A. u = 12-5k

    B. k = 5u-12

    C. k = 12-5u

    D. u = 5k-12

    Answer Explanation

    We are asked to determine John’s uncle’s age relating to John’s age.

    First, express John’s uncle’s age in terms of John’s age as follows

    John’s age=k

    John’s uncle’s age, u = 5k-12.

    Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=5k-12.