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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
First find the area of the parallelogram
Area of parallelogram = b x h
= 12 x 7
= 84
Then find area of kite
Area of kite = (xy)/2
= (7 x 12)/2
= 84/2
= 42
Now we are gonna subtract the area of the kite from the area of the parallelogram.
84 - 42 = 42
Therefore the area of the shaded region is 42.
The answer is B)0.4 because four of the ten stores that were surveyed were compliant so the proportion of the entire population of stores that would be compliant is <span>410</span> or 0.4<span>
</span>
0.03 compare to 0.003
While comparing decimals we write the decimals one below the other according to the place value of each digits in place value chart
ones -- point -- Tenths -- Hundredths -- Thousandths
0 . 0 3
0 . 0 0 3
Now we compare each digit left to right. We have 3 in hundredths and 0 in hundredths place. 3 is greater
So 0.03 is greater than 0.003
0.03 > 0.003
