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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 10 feet and a hypotenuse of 14 feet? (Round to the nearest tenth.)

A. 6 feet

B. 15.6 feet

C. 9.8 feet

D. 20 feet

Answer Explanation:

The sides of a right-angled triangle are determined by the Pythagoras theorem. If we let the unknown side to x as in the figure below, then theory is applied as follows.  

The value of x is found as:

The value of the unknown leg side of a triangle is about 9.8 feet.

Therefore, the Correct Answer is C.

More Questions on TEAS 7 Math

  • Q #1: A bag contains six green balls, three red balls, and five yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is red?

    A. ½

    B. 5/14

    C. 3/7

    D. 3/14

    Answer Explanation

    To find the probability of an event, we use the following the formula

    To find the probability of drawing the red ball, we need to find the total number of balls in the bag.

    Total number of balls in the bag=6+3+5=14 balls

    The probability of drawing a red ball from the bag is 3/14.

  • Q #2: Which of the following is the median of the date set below? -6, 8, -4, 12, 1

    A. 8

    B. 1

    C. -4

    D. 12

    Answer Explanation

    The median of the data set is the number that falls in the middle position after arranging the numbers in the data set in the ascending order.

    -6, -4, 1, 8, 12

    There are 5 numbers in the given data set, therefore the median falls in the third position from either side. Inspecting the data set, 1 fall in the third position, which is the median for the given data set.

  • Q #3: There are 800 students enrolled in four allied health program at a local community college. The percent students in each program is displayed in the pie chart. Which of the following is the number of students enrolled in the dental hygiene program?

    A. 168

    B. 144

    C. 336

    D. 152

    Answer Explanation

    we are to use the pie chart to find the number of students enrolled in dental hygiene care.

    Letting x represent the number of students enrolled in dental hygiene care, we set the proportion equation with number of students as numerator and percentage as denominator. It should be noted that the whole pie chart represents 100% of the 800 students. Then,

    We solve the value of x by cross-products.

    Therefore, 144 students will enroll for a dental hygiene program.