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. 40 feet
B. 4 feet
C. 14.4 feet
D. 8.9 feet
The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. We label the triangle from the given data as shown below
Let the unknown length be x.
Applying the Pythagoras theorem, the value of x is found as:
The unknown length of the triangle is approximately 8.9 feet.
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: The scatter plot below shows the relationship between the number of hours a student listens to music and the student’s test scores. Which of the following types of correlation is shown on the scatter plot?
A. Positive
B. Positive and negative
C. No correlation
D. Negative
Answer Explanation
scatter plots can of three types: positive, negative and no correlation. A positive correlation scatter plot shows that as one variable increase, the other variable increases. A positive correlation can be visually depicted below.
In a negative correlation, the change in one variable is inversely proportional to another variable. That is, as one variable increases, the other variable decreases as shown below.
The third type of scatter plot is a no-correlation scatter plot. In this type of plot, there is no defined relationship between one variable and another one as in the curve below.
If we look at the relationship between the time the student listens to music and his test score, it is evident that no relationship exists between the two variables. Thus, this is a type of no correlation scatter plot.
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Q #2: Five less than twice a number Which of the following translates the phrase above into a mathematical expression?
A. 5x-2
B. 2-5x
C. 5-2x
D. 2x-5
Answer Explanation
we need to form a mathematical expression from the given word problem.
Let the number be x.
Twice a number=2x
Five less than twice a number=2x-5
So the mathematical express from the word problem is 2x-5
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Q #3: 2.50*0.25 Simplify the expression above. Which of the following is correct?
A. 0.0625
B. 6.025
C. 0.625
D. 6.25
Answer Explanation
To solve this equation, we use a calculator and find the product as:
2.50*0.25=0.625
