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

Answer Explanation:

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.

Q #1: -2/3, -0.5, -1.5, -4/9 Of the number listed above, which number is the greatest?

A. -0.5

B. -4/9

C. -1.5

D. -2/3

Answer Explanation

Before finding the greatest number from the data set, the numbers need to be in fraction form.

-0.5=-5/10

-1.5=-15/10

The set of numbers becomes -2/3, -5/10, -15/10, -4/9

Now the least common denominator for 3, 10, and 9 is 90, which will be used to multiplied by the given fractions as follows:

-2/3*90=-60

-5/10*90=-45

-15/10*90=-135

-4/9*90=-40

From the above evaluations, the resulting numbers arranged from the smallest to the largest is -135, -60, -45, -40. Thus, the greatest number from the data set is -40, with a corresponding fraction of -4/9.
Q #2: The length of a rectangular room is 5 feet greater than its width. Which of the following equations represents the area (A) of the room?

A. A=w+(w+5)

B. A=2w+2(w+5)

C. A=5(w+8)

D. A=w(w+5)

Answer Explanation

To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then

Width of the rectangle= w

Length of rectangle=(w+5)

Area of the rectangle, A= Length*width=(w+5)*w

A=w(w+5)

Thus, the area of the rectangular room is w(w+5).
Q #3: A person weighed themselves at 153 lb. Five months later they weighed themselves at 120 lb. Which of the following is the percent of weight the person lost over 5 months? (Round to the nearest percent.)

A. 38%

B. 22%

C. 19%

D. 29%

Answer Explanation

The percentage change in weight is found in three steps below:

Absolute change in weight=final weight-initial weight

Absolute change in weight= (left|120-153 ight|=left|-33 ight|=33)

Relative change in weight= (frac{absolute change}{initial weight}=frac{33}{153}=0.216)

Percent change=relative change * 100%

Percent change=0.216*100%=21.6%

The percent change in weight lost is 21.6 %, which is about 22%.

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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.)

More Questions on TEAS 7 Math

Q #1: -2/3, -0.5, -1.5, -4/9 Of the number listed above, which number is the greatest?

Answer Explanation

Q #2: The length of a rectangular room is 5 feet greater than its width. Which of the following equations represents the area (A) of the room?

Answer Explanation

Q #3: A person weighed themselves at 153 lb. Five months later they weighed themselves at 120 lb. Which of the following is the percent of weight the person lost over 5 months? (Round to the nearest percent.)

Answer Explanation

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