Type the correct answer in the box. Use numerals instead of words. Use the clues to find the mystery number. It is greater than 37,493. It is less than 37,503. It is an even number. The value of the mystery number rounded to the nearest ten is less than the mystery number. The value of the mystery number rounded to the nearest thousand is greater than the mystery number.

37,502

Step-by-step explanation:

With the provided details we have:

Range of number = 37,493 - 37,503

The number is even number

Therefore, possible options are:

37,494

37,496

37,498

37,500

37,502

When number rounded to nearest tens, is  less than the original number

Rounding off above numbers to nearest tens we have

37,490

37,500

37,500

37,500

37,500

There is only 2 numbers which full fill the condition of original number number being smaller than the rounded off number.

37,494 and 37,502

The next condition is on rounding to nearest 1,000's

37,494 rounded to 37,000

37,502 rounded to 38,000

Provided that the rounded number in 1000's is more than the original mystery number.

37,000 is less than 37,494 thus not feasible.

38,000 is more than 37,502

This is the mystery number.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi