Answer:
-4
Step-by-step explanation:
Negative 5
means put a point 5 units to the left of 0
C is answer
Answer: 8
Step-by-step explanation:
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
Angle G = 130 degrees
Angle H = 50 degrees
Angle K = 74 degrees
Angle M = 106 degrees
<u>Angle G would be 130 degrees</u> because it's a vertical angle, and vertical angles are always alike.
<u>Angle H would be 50 degrees</u> because it's an adjacent angle, and we also know that one side of the line is always 180 degrees so we have an equation that looks like this 180 - 130 = 50 degrees
<u>Angle K would be 74 degrees</u> because it's a vertical angle.
<u>Angle M would be 106 degrees</u> because it's an adjacent angle.
