A = (1/2) b * h
h = b - 5
42 = (1/2) * b * (b - 5)
42 = (1/2) * b^2 - 5b
multiply both sides by 2 to clear the fraction (1/2)
2(42) = 2(1/2) *b^2 - 5b
84 = b^2 -5b
Since this is a quadratic equation, subtract 84 from both sides so that it is set = to zero.
b^2 - 5b - 84 = 0
Now factor.
(b - 12)(b + 5) = 0
b - 12 = 0; b = 12
b + 5 = 0; b = -5
You can't have a negative length so the answer is 12m
To check the answer:
A = (1/2) * 12* 7
A = 42 m^2
Answer:
53.62 m
Step-by-step explanation:
Length of arc = θ/360 × 2πr
r = XZ = 12 m
m<XYZ = 180 - 108 = 72° (angles on a straight line)
θ = 85° + 72° + 108° = 265°
Length of arc YWV = 256/360 × 2 × π × 12
= 53.6165146 ≈ 53.62 m (nearest hundredth)
(-3, -2) is the vertex.
You can find this by plugging into -b/2a to find the x value and using the x value to find the y value.
And another spot on the vertex would be (0, 16), which is the y intercept.
I think the best possibility that could lead Aiden's mistake are the following, First, it must be that the length of the paper strips are not the same. Second, it would be that she miscounted the strips. I hope you are satisfied with my answer and feel free to ask for more
Answer:
29.6
Step-by-step explanation:
20% = 0.20
0.20 * 148 = 29.6
