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
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
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Q #1: A circle has an area of 64π in2. Which of the following is the circumference of the circle in terms of pi ( π)?
A. 9 π in
B. 16 π in
C. 4 π in
D. 8 π in
Answer Explanation
we need determine the radius of the circle before we can find the circumference of the circle from the given area.
Let r be the radius of the circle, then
Substituting the value of area
Dividing both sides by pi and taking square root on both sides yields
Now, the radius of the circle is 8 in. and the circumference of the circle is given by the relation:
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Q #2: A pharmaceutical company’s stock price was $33.65 on Monday. On Tuesday, the price went up $1.23. On Wednesday, the price decreased from Tuesday’s price by $0.97. On Thursday, the price went up $2.75 from Wednesday’s price. Which of the following was the final price on Thursday?
A. $33.65
B. $33.91
C. $34.88
D. $36.66
Answer Explanation
The final price of the stock on Thursday can be found by finding the price on the previous day taking into account the price changes as follows.
The price of the stock on Monday was $33.65
On Tuesday the price of the stock went up by $1.23 from Monday’s price. Then, Tuesday’s price was $(33.65+1.23)=$34.88
The price of the stock on Wednesday decreased by $0.97 from Tuesday’s price. The price on Wednesday became $(34.88-0.97)=$33.91
Thursday’s price increased by $2.75 from Wednesday’s price, which was $(33.91+2.75)=$36.66
Therefore, the final price of the stock on Thursday was $36.66.
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Q #3: 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.
