For a vector:
cos^2(α) + cos^2(β) + cos^2(γ) = 1
From the givens:
α = π/4, therefore, cos(α) = 1/root 2 and cos^2(<span>α) = 1/2
</span>β = π/3, therefore, cos(β) = 1/2 and cos^2(<span>β) = 1/4
Substitute in the above equation:
1/2 + 1/4 + </span>cos^2(γ) = 1
cos^2(γ) = 1 - 1/2 - 1/4
cos^2(γ) = 1/4
cos(γ) is either 1/2 or -1/2
For cos(γ)= 1/2 .......> γ = <span>π/3
For </span>cos(γ)= -1/2 .......> γ = 2π/3
Answer:
H affects horizontal shift (shift to the right or left) means moves graph right or left
Step-by-step explanation:
<span> 1/5 +20.4-(-5 3/4
1/5 as a decimal is .2
3/4 as a decimal is .75
.2+20.4-(-5.75)
20.6-(-5.75)
</span>26.35 <<< would be your answer
Answer 5 pears and 7 peaches
Explanation: you will need to make two equations to represent the problem
X being for peaches and y for pears
x+y= 12
1.5x + 1.6y= 18.5
We are going to use the elimination method and so we need to cancel either x or y in this case x. So we multiple the top equation by -1.5
-1.5x - 1.5y = -18
1.5x + 1.6y = 18.5
Then we can cancel the x since they are opposite and we can add the rest
0.1y =0.5
Y= 5
Then we can substitute the y into one of the equations
x + 5= 12
x= 7