Answer: the shaded region = 69.66mm^2
Explanation:
Assume shaded region is X
Then :
X + Area of circle = area of square
X = area of square - area of circle
Find area of square:
Side length = 18mm
Area = 18 x 18 = 324
Find area of circle:
Side length of a square = the diameter of the circle = 18mm
And r(radius) = d/2 = 18/2 = 9
Area = pi x 9^2 = 254.34
Now find X
X = 324 - 254.34 = 69.66
Answer:
126 degrees
Step-by-step explanation:
Triangle: y = 180 - (5x + 4x)
Straight angle: y = 180 - (4x + 30)
180 - (5x + 4x) = 180 - (4x + 30)
5x + 4x = 4x + 30
5x = 30
x = 6
Angle:
y = 180 - (5x + 4x)
y = 180 - 9x
y = 180 - 9(6)
y = 126
Answer:
x = the wight of the large box
y = the weight of the small box
A delivery of 3 large boxes and 2 small boxes has a total weight of 73 kilograms.
3x + 2y = 73
A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms.
8x + 4y = 177
by solving the system of equations
3x + 2y = 73
8x + 4y = 177
we find
x = 15.5 kg
y = 13.25 kg
the large box weights 15.5 kg.
the small box weights 13.25 kg.
Answer:
to find the weight in pounds, <u>divide</u> the number of ounces by the unit rate, <u>16</u> ounces per pound.
Answer:
7 + 4
Step-by-step explanation:
note that 
× = a
Given
(2 + )² = (2 + )(2 + )
Each term in the second factor is multiplied by each term in the first factor, that is
2(2 + ) + (2 + ) ← distribute both parenthesis
= 4 + 2 + 2 + 3 ← collect like terms
= 7 + 4
