The illustration is omitted. Please see the attachment below.
Answer:
The area of the shaded sector is 144π square units.
Step-by-step breakdown:
Given:
The central angle for the sector is, 
The circle's radius is, 
The area of a sector with radius 'R' and angle 
can be determined with:
Substituting 
gives
Thus, the area of the shaded sector calculates to 144π square units.
Answer:
600 books
Step-by-step explanation:
The dimensions of the bin are
5 by 2 by 3
The volume of the bin is found by multiplying these three dimensions.
Volume of Bin = 5 * 2 * 3 = 30 cubic feet
To find the volume of each book, we use the same method. The dimensions of one book are:
1 by 0.5 by 0.1
Volume of 1 book = 1 * 0.5 * 0.1 = 0.05 cubic feet
The total number of books fitting into the bin is calculated by:
30/0.05 = 600 books
Answer:
1/5
Step-by-step explanation:
Amir and Tamara each consumed 2/5 of the candy bar.
The total consumed is 2/5 + 2/5 = 4/5.
Since 4/5 of the candy bar has been eaten, 1/5 remains.
This is because 5/5 minus 4/5 equals 1/5.
(Note that 5/5 represents a whole candy bar).
I divided by 100 and shifted the decimal point two places left.
This situation exemplifies the distributive property, where the number outside the parentheses impacts all the terms within through multiplication. Therefore, the resulting action here is:
<span>The 4 should be multiplied by each term found inside the parentheses.
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