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 24 feet? (Round to the nearest tenth.)
A. 21.8 feet
B. 25 feet
C. 13.6 feet
D. 17.7 feet
Let the unknown length of the x. The resulting triangle is shown below.
We use the Pythagoras theorem as follows to find the unknown value of x as:
Thus, the value of unknown side of the triangle is 21.8 feet.
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
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Q #1: A recipe calls for 3 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?
A. 34.33 mL
B. 9.58 mL
C. 10.49 mL
D. 14.79 mL
Answer Explanation
To find the amount of vanilla in mL, use dimensional analysis of the units of measurements.
Two ways to convert between teaspoon and mL are:
Since we are required to find the amount in mL, we use a cionverstioon that will result in mL. Inspecting the above options, we use the second option and set up an equation in way the unwanted units cancel out and leave the wanted unit we are looking for. Then,
Thus, a recipe of 3 teaspoons equals 14.79 mL.
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Q #2: To determine the cost of a laptop, the seller considers the brand of the laptop, the tax rate, and the memory size. Which of the following is the dependent variable?
A. Cost of a laptop
B. Tax rate
C. Memory size
D. Brand of the laptop
Answer Explanation
A dependent variable is one that depends on the independent variable. An independent variable is one that when changed result in a change of another variable.
In this problem, if we change the brand of laptop, tax rate, and memory size, the price of the laptop changes. Thus, the cost of the laptop is the dependent variable.
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Q #3: A child has a bottle full of pennies, nickels, dimes, and quarters. There are twice as many quarters as pennies, three times as many as nickels as pennies, and six times as many dimes as nickels. How many more dimes does the child have than quarters?
A. 10 times as many
B. 5 times as many
C. 6 times as many
D. 9 times as many
Answer Explanation
In this task, we use the relation from the given scenario to compare the number of dimes to quarters.
If we let p be number of pennies in the bottle. Then,
Number of quarters in the bottle = 2p
Number of nickels in the bottle = 3p
Number of dimes in the bottle =6(3p)=18p
Now relating dimes to quarters, we have
Thus, there are 9 times as many dimes as quarters in the box.
