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
Answer:
6
Step-by-step explanation:
1/2 of 12 is 6
Zeke ate twice as much as Niko, so he ate 12 and Niko ate 6.
This makes 18 cookies eaten in total.
Answer:
more than 7
Step-by-step explanation:
4+3 = 7
)sorry if i was wrong(
Answer: 12
Step-by-step explanation:
2x + 8 = 3x - 4
In order to solve for x, we must isolate x. We can do this by moving all of the numbers with "x" in it to the left side of the equal side, and move everything else to the right of it!
Let's start off by subtracting 8 from both sides. Remember : what you do to one side, you must do it to the other.
2x + 8 - 8 = 3x - 4 - 8
Simplify!
2x = 3x - 12
Now, let's subtract 3x from both sides.
2x - 3x = 3x - 12 - 3x
Simplify!
-x = -12
Divide both sides by -1.
-x ÷ -1 = -12 ÷ -1
Simplify.
x = 12
