Answer:
x = -5.7778
Step-by-step explanation:
1) 8x + 8 + x -2 = 48 (You multiply the -4 into both -2x and -2, thus getting rid of the brackets)
2) 9x + 6 = -48 (Add the two values of x (8x + x) and then subtract the 2 from 8 = 6)
3) 9x =-46 - 6 (Move the 6 mover, which will change its sign from a (+) to a (-6))
4) 9x = -52 (Do the expression, and you get -52)
5) x = -52 / 9 (Isolate the x, by dividing both sides by it)
6) x = -5.7778 (Round the answer)
Answer:
12
Step-by-step explanation:
Answer:
Step-by-step explanation:
The simple answer is just move the left semi-circle to the right end and fill in the missing semi-circle. So the answer just becomes the area of the full rectangle....
area of the newly formed rectangle is 4 times 6
Area = 24
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
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