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
Considering the withdraws and credits, Lucia's current available balance is of $65.53.
<h3>How do we find a balance?</h3>
It is given by the sum of the money that the people has with the pending credits, and subtracted by the pending withdraws.
In this problem, we have that:
- Lucia has $412.76, with pending credits of $134.00.
- She has pending withdraws of $481.23.
Hence, her avaiable balance is given by:
412.76 + 134 - 481.23 = $65.53.
More can be learned about balances at brainly.com/question/26867415
Answer:
-2(9+32n)
Step-by-step explanation:
Both the 18 and 64 n are negative, and that is the only answer choice that results in two negative numbers.
Answer:
A) 6
B)5
C)4
D)3
E)1.76
F)1.52
G)1.5
H)1.4
I)1/6
J)2/3
props to the first guy that said it
