3x-24=x+10
3x-x=24+10
2x=34
x=34:2=17
Isolate the variable by dividing each side by factors that don't contain the variable.
l = v/wh
w
h
The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:
((x+10)(2x+5)) - ((x+1)(x+1))
First, FOIL both of the areas separately:
(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)
Simplify within the parentheses by adding like terms:
(2x^2 + 25x + 50) - (x^2 + 2x + 1)
Now, subtract one equation from the other:
2x^2 + 25x + 50
-x^2 - 2x - 1
= x^2 + 23x + 49
This will be the equation for the area.
9514 1404 393
Answer:
20.25 mm
Step-by-step explanation:
Arc length is given by the relation ...
s = rθ
where r is the radius and θ is the central angle in radians.
There are π radians in 180°, so the arc length is ...
s = (5 mm)(232°×π/180°) = 20.25 mm
The arc length is about 20.25 mm.
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