area of rectangle= 8*13=104m^2
base of the Triangle= 13 -(4+4)=5
area of Triangle = 5*6/2=15m^2
area of shaded shape =104-15= 89m^2
Answer:
-3+10y
Step-by-step explanation:
Distribute the Negative.
CosA=(21^2+23^2-25^2)/2*21*23
cosA=345/966
A=cos^-1(345/966)
A=69.08
Answer:
2/3 >=x
Step-by-step explanation:
8 =< -3x + 10
subtract 10 from each side
8-10 <= -3x+10-10
-2 <=-3x
divide by -3 (remember to flip the inequality)
-2/-3 >= -3x/-3
2/3 >=x
<span>Simplifying
4x + 20 = 6x + -10
Reorder the terms:
20 + 4x = 6x + -10
Reorder the terms:
20 + 4x = -10 + 6x
Solving
20 + 4x = -10 + 6x
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
20 + 4x + -6x = -10 + 6x + -6x
Combine like terms: 4x + -6x = -2x
20 + -2x = -10 + 6x + -6x
Combine like terms: 6x + -6x = 0
20 + -2x = -10 + 0
20 + -2x = -10
Add '-20' to each side of the equation.
20 + -20 + -2x = -10 + -20
Combine like terms: 20 + -20 = 0
0 + -2x = -10 + -20
-2x = -10 + -20
Combine like terms: -10 + -20 = -30
-2x = -30
Divide each side by '-2'.
x = 15
Simplifying
x = 15</span>
