Which of the following is the length of the unknown leg of a right triangle that has one leg length of 5 feet and a hypotenuse of 17 feet? (Round to the nearest tenth.)
A. 18 feet
B. 14.4 feet
C. 9.8 feet
D. 16.2 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:
We take square-root on both sides
The value of the unknown length is 16.2 feet.
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: A circle has an area of 144 in2. Which of the following is the circumference of the circle in terms of pi ( )?
A. \(18 \pi in\)
B. \(6 \pi in\)
C. \(12 \pi in\)
D. \(24 \pi in\)
Answer Explanation
We need to find the circumference of the circle.
Before finding the circumference of a circle, we need to find the radius of the circle from the given area.
Let r be the radius of the circle, then the area of the circle is:
Substituting the value of area in the above equation
Dividing both sides by pi and taking square root on both sides yields
The radius of the circle with the given area is 12 in, and the circumference of the circle becomes:
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Q #2: A person weighed themselves at 190 lb. Three months later they weighed themselves at 180 lb. Which of the following is the percent of weight the person lost over 3 months? (Round to the nearest percent.)
A. 8%
B. 9%
C. 11%
D. 5%
Answer Explanation
Explanation: The percentage change in weight is found in three steps below:
Absolute change in weight = final weight - initial weightAbsolute change in weight = (|180 - 190| = |-10| = 10)
Relative change in weight = (frac{absolute change}{initial weight} = frac{10}{190} = 0.0526)
Percent change = relative change * 100%
Percent change = 0.0526 * 100% = 5.26%
The percent change in weight lost is 5.26%, which is about 5%.
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Q #3: A baker is using a cookie recipe that call for 5 2/7 cups of flour to yield 40 cookies. How much flour will the baker need to make 70 cookies using the same recipe?
A. 10 ¼ cups
B. 9 ½ cups
C. 10 ¾ cups
D. 9 ¼ cups
Answer Explanation
