Which of the following is the area of the largest circles that can fit entirely inside a rectangle that measures 8 centimeters by 10 centimeters?

A. 18π cm2

B. 10 π cm2

C. 16 π cm2

D. 8 π cm2

Answer Explanation:

To find the area of the largest circle that fits in the rectangle, we need to determine the area of a circle with a diameter of 8 cm or less to fit on the rectangle with the given measurements as illustrated below.

Area of circle= πr2

Radius of circle, r=8cm/2=4cm

Then, area of the largest circle is:

Area of circle= π*4 cm *4 cm =16π cm2

Therefore, the Correct Answer is C.

Q #1: Which of the following expressions represents the sum of three times a number and eight times a different number?

A. 3x+8y

B. 8x+3x

C. 3x-8y

D. 8x-3y

Answer Explanation

Let two numbers be x and y. Then

Three time a number=3x

Eight times a different number = 8y

Sum of the two is 3x+8y
Q #2: Which of the following is the total number of whole boxes that measure 2 ft * 2 ft * 2 ft that can be stored in a room that measures 9 ft * 9 ft * 9 ft, if the size of the boxes cannot not be altered?

A. 125

B. 64

C. 18

D. 92

Answer Explanation

Number of boxes in the room is equal to the volume of the room divided by the volume of one box

Volume of the room=9 ft*9 ft*9 ft= 729 ft3

Volume of one box = 2 ft* 2 ft * 2 ft= 8 ft3

Number of boxes= 729 ft3/ 8 ft3= 91.125 boxes

Thus, the room can store 91.125 boxes, which is about 92 boxes
Q #3: Elevation above sea level and temperature are negatively-correlated variables. Which of the following statement describes the relationship between the variables?

A. As elevation decreases, temperature remains the same

B. As elevation decreases, temperature decreases

C. As elevation increases, temperature decreases

D. As elevation increases, temperature increases

Answer Explanation

In a negatively-correlated variables, a change in one variable result in opposite change in the other variable. In other words, an increase in on variable results in a decrease in the other.

Now let’s analyze the given scenarios:

As elevation decreases, temperature remains the same this is NO-CORRELATION

As elevation decreases, temperature decreases is a POSITIVE CORRELATION

As elevation increases, temperature decreases is a NEGATIVE CORRELATION

As elevation increases, temperature increases is a POSITIVE CORRELATION

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Which of the following is the area of the largest circles that can fit entirely inside a rectangle that measures 8 centimeters by 10 centimeters?

More Questions on TEAS 7 Math

Q #1: Which of the following expressions represents the sum of three times a number and eight times a different number?

Answer Explanation

Q #2: Which of the following is the total number of whole boxes that measure 2 ft * 2 ft * 2 ft that can be stored in a room that measures 9 ft * 9 ft * 9 ft, if the size of the boxes cannot not be altered?

Answer Explanation

Q #3: Elevation above sea level and temperature are negatively-correlated variables. Which of the following statement describes the relationship between the variables?

Answer Explanation

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