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: How many liters are there in 560 milliliters?
A. 5.6
B. 0.56
C. 56
D. 5600
Answer Explanation
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Q #2: Which of the following is the appropriate unit of a measure to express the mass of a needle?
A. Gram
B. Milliliter
C. Meter
D. Kilogram
Answer Explanation
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Q #3: Which of the following is the decimal form of 34.9%?
A. 3,490
B. 3.49
C. 0.349
D. 34.9
Answer Explanation
To convert a percentage to a decimal, divide the given percentage by 100. So, 34.9% becomes:
The decimal form of 34.9% is 0.349.
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Q #4: A recipe calls for 4 teaspoons of vanilla. 1 teaspoon equals approximately 4.98 mL. Which of the following is the correct amount of vanilla in mL?
A. 5.35 mL
B. 50.7 mL
C. 19.92 mL
D. 12.25 mL
Answer Explanation
We need to find the mL in 4 teaspoons from the given information.
If we let x represent the amount of vanilla in mL, and set a proportion equation with number of teaspoons as numerator and mL as denominator, then:
Find the value of x by cross-products
Therefore, 4 teaspoons equal 19.92 mL.
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Q #5: Which of the following is the decimal equivalent of 9/25?
A. 36
B. 0.36
C. 3.6
D. 0.25
Answer Explanation
9/25 is the same as 9÷25. Using the calculator, we get 0.36.
Thus, 9/25 in decimal form is 0.36.
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Q #6: Joe’s uncle is eight less than four times Joe’s age. Which of the equations represents Joe’s uncle’s age (u) as it relates to Joe’s age (k)?
A. u=8-4k
B. k=4u-8
C. k=8-4u
D. u=4k-8
Answer Explanation
We are asked to form an equation to find Joe’s uncle’s age to the age of Joe.
First, we find Joe’s age which is k. We know that Joe’s uncle’s age is four times that of Joe less 8. Then,
Joe’s uncle’s age, u = 4k-8.
Thus, the age of Joe’s uncle is u=4k-8.
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Q #7: The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:12. Which of the following is the minimum length of a ramp needed to provide access to a door that is 5.2 feet above the sidewalk?
A. 52 feet
B. 148 feet
C. 32.2 feet
D. 62.4 feet
Answer Explanation
In this problem slope represents the change in height above sidewalk to change in length of the ramp.
From the definition of slope
Letting x to be the minimum length of the ramp, then
Substituting with the known value of slope
Cross-multiply to find the value of x
Thus, the minimum length of the ramp needed is 62.4 feet to access to a door that is 5.2 feet above the sidewalk.
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Q #8: There are 900 students enrolled in four allied health programs at a local community college. The percent students in each program are displayed in the pie chart. Which of the following is the number of students enrolled in the respiratory care program?
A. 162
B. 171
C. 378
D. 189
Answer Explanation
we use the percentages and number of students to find the number of students enrolled in the respiratory care program as in the pie chart. The total percent of the whole piec chart sums to 100%.
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.
Find the value of x by cross-products
Divide both sides of the equation by 100%
Thus, 171 students out of 900 students will enroll for a respiratory care program.
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Q #9: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 6 feet and a hypotenuse of 14 feet? (Round to the nearest tenth.)
A. 15 feet
B. 12.6 feet
C. 18.3 feet
D. 9.2 feet
Answer Explanation
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Q #10: As the number of credit hours a student takes in a semester increases, the tuition fees, the amount of access fees, and the number of student loans available also increase. Which of the following is the independent variable?
A. Amount of access fees
B. Tuition fees
C. Number of credit hours
D. Number of student loans available
Answer Explanation
A change in number of credit hours will lead to a change in the amount of access fees, amount of tuition fees, and availability of the number of student loans. Thus, number of credit hours is the independent variable.
