Answer:
y = −
2
/3
x + 4
Step-by-step explanation:
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Answer:
Sine θ = 5/13
Step-by-step explanation:
From the question given above, the following data were obtained:
Cos θ = 12/13
Sine θ =?
Next, we shall determine the opposite. This can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos θ = 12/13
Adjacent = 12
Hypothenus = 13
Opposite =?
Hypothenus² = Opposite² + Adjacent²
13² = Opposite² + 12²
169 = Opposite² + 144
Collect like terms
169 – 144 = Opposite²
25 = Opposite²
Take the square root of both side
Opposite = √25
Opposite = 5
Finally, we shall determine the Sine θ. This can be obtained as follow:
Opposite = 5
Hypothenus = 13
Sine θ =.?
Sine θ = Opposite / Hypothenus
Sine θ = 5/13
Answer:
Step-by-step explanation:
Area of square = area of triangle
![side*side = \dfrac{1}{2}b*h\\\\\\x*x=\dfrac{1}{2}*(x+1)(x+2)\\x^{2}=\dfrac{1}{2}[x*x +x*2+1*x+1*2]\\\\\\x^{2}=\dfrac{1}{2}[x^{2}+2x+x+2]\\\\\\x^{2}=\dfrac{1}{2}[x^{2}+3x+2]\\\\\\Multiply \ both \ sides \ by \ 2\\\\2x^{2}=x^{2}+3x+2\\\\2x^{2}-x^{2}-3x-2 = 0](https://tex.z-dn.net/?f=side%2Aside%20%3D%20%5Cdfrac%7B1%7D%7B2%7Db%2Ah%5C%5C%5C%5C%5C%5Cx%2Ax%3D%5Cdfrac%7B1%7D%7B2%7D%2A%28x%2B1%29%28x%2B2%29%5C%5Cx%5E%7B2%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5Bx%2Ax%20%2Bx%2A2%2B1%2Ax%2B1%2A2%5D%5C%5C%5C%5C%5C%5Cx%5E%7B2%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5Bx%5E%7B2%7D%2B2x%2Bx%2B2%5D%5C%5C%5C%5C%5C%5Cx%5E%7B2%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5Bx%5E%7B2%7D%2B3x%2B2%5D%5C%5C%5C%5C%5C%5CMultiply%20%5C%20both%20%5C%20sides%20%5C%20by%20%5C%202%5C%5C%5C%5C2x%5E%7B2%7D%3Dx%5E%7B2%7D%2B3x%2B2%5C%5C%5C%5C2x%5E%7B2%7D-x%5E%7B2%7D-3x-2%20%3D%200)
x² - 3x - 2 = 0
Answer:
3/10 of the renaming full pizza has pepperoni
Step-by-step explanation:
Here, we want to calculate how much of the remaining pizza had pepperoni.
From the question, 1/2 has pepperoni and 1/2 is plain without pepperoni
she eats 1/5 of the pizza having pepperoni, this means that she is actually left with some parts is the half having pepperoni
The actual of the half remaining with pepperoni will be 1/2 - 1/5 = 3/10
This means that 3/10 of the remaining full pizza has pepperoni
