QUESTION: 45

Which of the following is an irrational number?

Option A
Option B
Option C
Option D
Option E

Answer(s): E

Explanation:

An irrational number is a number that cannot be expressed as a repeating or terminating decimal.

Can not be expressed as a repeating or terminating decimal, therefore, is an irrational number.

Reveal Solution Next Question

QUESTION: 46

In the diagram above, the length of a side of square ABCD is four units. What is the area of the shaded region?

4
4
4 4
16
16 4

Answer(s): B

Explanation:

The area of a square is equal toS2, where s is the length of a side of the square. The area ofABCDis42= 16 square units. The area of a circle is equal to r2, where r is the radius of the circle. The diameter of the circle is four units. The radius of the circle is two square units. The area of

the circle is equal to (2)2= 4. The shaded area is equal to one-fourth of the difference between the area of the square and the area of the circle:1/4(16 4)= 4 .

Reveal Solution Next Question

QUESTION: 47

The value of d is increased 50%, then decreased 50%. Compared to its original value, the value of d is now

25% smaller
25% larger
50% smaller
50% larger
the same

Answer(s): A

Explanation:

To increased by 50%, multiply d by 1.5:d= 1.5d. To find 50% of 1.5d, multiply 1.5dby 0.5: (1.5d)(0.5) = 0.75d. Compared to its original value, dis now 75% of what it was. The value of dis now 25% smaller.

Reveal Solution Next Question