Answer:
38 square inches.
Step-by-step explanation:
First, the figure must be broken down into two shapes to solve for the area. The easiest way to do this is through a triangle and a rectangle.
This leaves a rectangle with a height of 8 in and a width of 4 in, as well as a triangle with a slant of 5 in, a base of 4 in, and height of 3 in.
Then, solve for the area of the two shapes.
Rectangle:
Area = L x W
4 x 8
= 32 inches squared.
Triangle:
Area = (1/2)(B x H)
(1/2)(4 x 3)
(1/2)(12)
= 6 inches squared.
Add these two values for a total area of 38 square inches.
Answer: {-14,-26}
Step-by-step explanation:
Let x be the number.
Given statements: If 20 is added to the number, the absolute value of the result is 6.
i.e. |x+20| =6
Since 
So, 
hence, set of values of x = {-14,-26}
Answer:
12
Step-by-step explanation:
No. of red flyers = 6
No. of blue flyers = 4
We need to find the minimum number of flyers of each color if she gave out the same number of red and blue flyers. For this we must find the LCM of 6 and 4.
Prime factorization of 6 = 2×3
Prime factorization of 4 = 2×2
Lowest common multiple of 6 and 4 = 12
Hence, there are 12 minimum number of flyers of each color
Answer:
850
Step-by-step explanation:
We have, 70% × x = 595
or,
70
100
× x = 595
Multiplying both sides by 100 and dividing both sides by 70,
we have x = 595 ×
100
70
Find the circumference and multiply it by 3.
C = pi * d
C = 3.14 * 21
C = 65.94
So it travels 65.94 inches in 1 revolution.
65.94 * 3 = 197.82
So it travels 197.82 inches in 3 revolutions.
