Answer:
x = 28 cm
Step-by-step explanation:
Given:
Area of link shaded regions = 84 cm²
Required:
The value of x (diameter of the semicircle/length of the rectangle)
Solution:
Diameter of the semicircle = 2r = x
Length of rectangle (L) = 2r = x
Radius of semicircle (r) = ½x
Width of rectangle (W) = radius of semicircle = ½x
Use 3.14 as π
Area of the link shaded regions = area of rectangle - area of semicircle
Thus:
Area of the link shaded regions = (L*W) - (½*πr²)
Plug in the values
84 = (x*½x) - (½*3.14*(½x)²)
84 = x²/2 - (1.57*x²/4)
84 = x²(½ - 1.57/4)
84 = x²(0.5 - 0.3925)
84 = x²(0.1075)
Divide both sides by 0.1075
84/0.1075 = x²
781.4 = x²
√781.4 = x
27.9535329 = x
x = 28 cm
A trapezoid/trapezium is a quadrilateral (4 sided shape) with exactly one pair of parallel sides.
It is a quadrilateral (a closed plane shape with four linear sides) that has at least one pair of parallel lines for sides
1×10+7×1+6×0.1+0×0.01+1×0.001 is the answer
To solve this, what you will need to do is find the solution of one variable and then substitute it and solve for the other.
Here’s how to solve:
y+2x=4
-2x -2x
y=4-2x
4-2x + 2x =4
4=4
So if you’re trying to see if it is true, then your answer is that it’s true.
If you’re trying to find the linear equation, then your answer is y=-2x+4.
