Which of the following is the length of the unknown leg of a right triangle that has one leg length of 8 feet and a hypotenuse of 12 feet? (Round to the nearest tenth.)
A. 4 feet
B. 14.4 feet
C. 8.9 feet
D. 40 feet
We are asked to find the one of the lengths of a right-angled triangle, we use the Pythagoras theorem to find the unknown length.
First, we label the triangle as below and let the unknown length be x.
Then, we apply the Pythagoras theorem to find the value of x as:
The value of the unknown length is approximately 8.9 feet.
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: 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 respiratory care program?
A. 168
B. 144
C. 336
D. 152
Answer Explanation
We are asked to find the number of students enrolled in the respiratory care program using the percentages in the pie chart.
If we let x represent the number of students enrolled in the respiratory care program, we can set a proportion equation with number of students on the numerator and percentages on the denominator. The whole pie chart represents 100%, which is 800 students. Then, 19% will represent
We solve the value of x by cross-multiplying the equation above.
So, 152 students will enroll for a respiratory care program.
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Q #2: A baker is using a cookie recipe that call for 2 ¼ cups of flour to yield 36 cookies. How much flour will the baker need to make 90 cookies using the same recipe?
A. 6 ¾ cups
B. 5 5/8 cups
C. 10 1/8 cups
D. 4 ¾ cups
Answer Explanation
We are asked to find the number of cups of flour that will be used to make 90 cookies.
Letting x be the number of cups of flour and setting the proportion equation with number of cookies on numerator and number of cups of flour on the denominator. We have
Solve the value of x by cross-multiplying
We convert the mixed fraction into improper fraction in order to carry out multiplication
\(x =\ \frac{9}{4}\ cups\ *\ 90\ cookies\ *\ \frac{1}{36}\ cookies\)
The number of cups of flour needed to make 90 cookies is 5.625 cups, which is equal to 5 5/8 cups(Choice B).
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Q #3: Which of the following is the total number of whole boxes that measure 2 ft * 2 ft * 2 ft that can be stored in a room that measures 9 ft * 9 ft * 9 ft, if the size of the boxes cannot be altered?
A. 125
B. 64
C. 92
D. 18
Answer Explanation
The number of boxes is determined by finding the volume of the room divided by the volume of the box.
Number of boxes
The approximate number of boxes that can be stored in the room is 92.
