Letter B is the answer
Number of sides (n) = 8
Apothem (a) = 18.11 units
Side (s) = 15 units
Area of Octagon = (1/2)n*a*s
A of O= (1/2)*8*18.11*15
A of O= 1086.6 units^2
Area of Square = s^2
A of S = 15^2
A of S = 225 units^2
Area of Shaded Region = A of O - A of S
A of S.R. = 1086.6 units^2 - 225 units^2
A of S.R. = 861.6 units^2
A of S.R. = 862 units^2
LETTER B
Answer:
Step-by-step explanation:
Best advice: make a sketch (which I can't do here).
When you reflect in the x axis, only the y value changes...so (3, -4) reflects to (3,4).
Translating down (i.e. in the negative direction) again means the x value (the abscissa) doesn't change, only the y value (the ordinate)...so the final value of the point is (3,1).
Answer:
Simplifying
3x + 77 = 4x + 54
Reorder the terms:
77 + 3x = 4x + 54
Reorder the terms:
77 + 3x = 54 + 4x
Solving
77 + 3x = 54 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
77 + 3x + -4x = 54 + 4x + -4x
Combine like terms: 3x + -4x = -1x
77 + -1x = 54 + 4x + -4x
Combine like terms: 4x + -4x = 0
77 + -1x = 54 + 0
77 + -1x = 54
Add '-77' to each side of the equation.
77 + -77 + -1x = 54 + -77
Combine like terms: 77 + -77 = 0
0 + -1x = 54 + -77
-1x = 54 + -77
Combine like terms: 54 + -77 = -23
-1x = -23
Divide each side by '-1'.
x = 23
Simplifying
x = 23
Step-by-step explanation:
I hope its helps
X + y = 4200 so x = 4200 - y
0.035x + 0.045y = 174
substitute x = 4200 - y into 0.035x + 0.045y = 174
0.035x + 0.045y = 174
0.035(4200 - y) + 0.045y = 174
147 - 0.035y + 0.045y = 174
0.01y = 27
y = 2700
x + y = 4200
x = 4200 - 2700
x = 1500
answer
$1500 in <span>3.5%
$2700 in 4.5%</span>
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