We have the formula (sin x)^2 + (cos x)^2 = 1;
Then, sin α =
cos β =
We apply the formula sin ( α + β ) = sin α x cos β + sin β x cos α = (3/5)x(4/5) + (4/5)x(3/5) = 12/25 + 12/25 = 24/25;
Answer:
Step-by-step explanation:
We assume your equations are intended to be ...
Then the profit equation is ...
The partial derivatives of profit with respect to x and y are zero when profit is maximized.
∂P/∂x = 0 = -2x +2y +2
∂P/∂y = 0 = 2x -18y +94
Simplifying, these equations are ...
Substituting the first into the second gives ...
x -9(x -1) = -47
-8x = -56
x = 7
y = 7 -1 = 6
The company will maximize profit by selling 7000 panels of type A and 6000 panels of type B.
Answer: when you rotate the triangle 180 degrees the new points would be (-1,-2), (-1,-4), and (-3,-3).
Step-by-step explanation:
You simply flip the graph 180 degrees. Not that hard.
Answer:
Step-by-step explanation:
We know that when there is an absolute value sign, the value inside the bars is always positive.
- => I3x + 3I = 10
- => 3x + 3 = 10
- => 3x = 10 - 3
- => 3x = 7
- => x = 7/3
- => x = 2.33 (Rounded to nearest hundredth)
Hence, the value of x is 2.33.
Answer:
Step-by-step explanation:
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