The values of x are x₁ ≈ 4.8 and x₂ ≈ - 0.8.
<h3>What is the quadratic equation behind two circular sections of equal area?</h3>
Herein we have two <em>circular</em> sections of equal area, whose expressions are described by the following geometric equations:
Semicircle
A = 0.5π · x² (1)
Half Semicircle
A = 0.25π · (x + 2)² (2)
By equalizing (1) and (2):
0.5π · x² = 0.25π · (x + 2)²
2 · x² = (x + 2)²
2 · x² = x² + 4 · x + 4
x² - 4 · x - 4 = 0
x² - 4 · x + 4 = 8
(x - 2)² = 8
x - 2 = ±√8
x = 2 ± √8
x = 2 ± 2√2
x = 2 · (1 ± √2)
x = 2 · (1 ± 1.41)
x₁ = 2 · 2.41 ∨ x₂ = 2 · (- 0.41)
x₁ = 4.82 ∨ x₂ = - 0.82
The values of x are x₁ ≈ 4.8 and x₂ ≈ - 0.8.
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The area of the lion is 6m
Because: This shape is difficult to find the area of so lets break it up into a square an 2 triangles. The squares dimensions are 2mx2m, to find the area of this we multiple them together to get, 4m. Next the triangles are the same dimensions so finding one, we find the other. The dimensions of these are 2mx1m. To find the area of a triangle you multiple the 2 sides (not the diagonal side) and divide by 2. 2x1 is 2, divided by 2 is 1. So the area of both of the triangles is 1. Now we just need to add all of these together. 4m+1m+1m= 6m
Answer:
And using the probability mass function we got:
And replacing we got:
Step-by-step explanation:
Let X the random variable of interest "number of students graduated", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
We want to find the following probability:
And using the probability mass function we got:
And replacing we got:
Answer:
3, 7.5, 12, 16.5
Step-by-step explanation:
Tn = a + (n-1)d
a = 3 and d = 1.5×3 = 4.5
T2 = a + d = 3 + 4.5 = 7.5
T3 = a + 2d = 3 + 2(4.5) = 12
T4 = a + 3d = 3 + 3(4.5) = 16.5
Hope its correct and have a great day :)
Below zero that means negative
So answer is -21
