Answer: 250m
Step-by-step explanation:
Length of rectangle = 140m
Length of rectangle = diameter of semicircle = 140m
Therefore, Radius(r) = 140m / 2 = 70m
Perimeter of the shaded region:
Length of tangent at P + length of tangent at Q + shaded portion of arc(AB)
Length of tangent = diameter / 2
Length of tangent = 70m
Perimeter of a circle = 2πr = 2 × 22/7 × 70 = 440m
shaded portion = 440 / 4 = 110m
Therefore, perimeter of shaded portion equals
70m + 70m + 110m = 250m
Answer: y = 2x-2
IF YOU NEED A CLEARER EXPLANATION, PLEASE LET ME KNOW
Step-by-step explanation:
Answer: 17/18
In words, this is seventeen eighteenths
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Work Shown:
4/9 + 9/18
8/18 + 9/18 ... see note below
(8+9)/18
17/18
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note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.
The diagram below shows a visual representation of why 4/9 = 8/18.
In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.
