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:
(a) 0.932
(b) 0.0653
(c) 0.032
(d) 0.316
(e) 0.251
Step-by-step explanation:
From the table with mean parameter μ = 5, we can compute the following cumulative and density probability
(a) 
(cumulative)
(b) P(X = 8) = 0.0653 (density)
(c) 
(cumulative)
(d) 
(cumulative)
(e) 
Answer:
x = 106°
Step-by-step explanation:
sum of interior opposite angles of a triangular is equal to a exterior angle
= x +22= 40 +88
= x = 128- 22
x = 106 °
hope this answers will be helpful for you and plzzz mark my answer as brainlist plzzzz vote me also.....
Answer:
14. D
15. A
16. A
Step-by-step explanation:
14. Point slope form formula: y-y₁=m(x-x₁).
When graphing you always want to think x/y for your slope.
X-axis increases by 2 and the Y-axis increases by 10, which would make the slope (m) 2/10 = 1/5.
If your slope is does not come out correct, then you can prove your point.
15. The given information is (-2,2): m=-1.
Given the Point slope formula: y-y₁=m(x-x₁), you can replace m to -1, y₁=2 and x=+2. (Two negatives would make a positive.)
Your answer: y-2=-(x+2)
16. Given: y=4x-7; (3,0)
Parallels lines: Same slope different y-intercepts.
A and D has the same slope and different y-interecepts, but your answer would be A because the equation that was given as a negative y-intercepts.
6(3x-5)-7x=25
18x-30-7x=25
11x=55
x=11
-2(5+6m)+16=-90
-10-12m+16=-90
-12m+6=-90
-12m=-96
m=8
