Answer:
Below.
Step-by-step explanation:
We need to prove this identity by taking the left side and trying to transform it to the right side.
LHS = sin(150 + x) + sin(150 − x)
= sin 150 cos x + sin x cos 150 + sin 150 cos x - sin x cos 150
= 2 sin 150 cos x
= 2 * 1/2 * cos x
= cos x = RHS.
So it is proved.
Answer:
16
Step-by-step explanation:
as an expression: (15 - 6) + (-2 + 9)
simplify quantities: (9) + (7)
sum: 16
:D
ANSWER
B. Domain is (-∞,∞) and Range is (-∞,∞).
The given function is
![f(x) = \sqrt[3]{x - 6} + 5](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20-%206%7D%20%20%2B%205)
This is function is obtained by shifting the base cubic root function 6 units to the right and 5 units up.
This function is defined for all real values of x.
Therefore the domain is all real numbers.
The range is all real numbers.
The domain for this function becomes the range for the inverse function and the range becomes the domain.
Hence the domain is (-∞,∞) and the range is (-∞,∞).
Answer:
1
Step-by-step explanation:
If she has four $8 shirts, that costs $32, leaving her with $18 dollars, only enough for 1 pair of $10 shorts
Answer:
12m
Step-by-step explanation:
You can break this shape down into a square and a trapezoid. Frist you can find the area of the square by multiplying 2 by 5 to get 10. Then you would find the area of a trapezoid by doing Area = 1/2height(base1+base2). We can find the height by subtracting 5 from 9. (We do this because we know the side of the square is 5m) Therefore the height would be 4m. We know the bases are 2 and 4. From there you can plug those numbers in to the formula. Area=1/2 * 4 (2 + 4)
Area= 1/2 * 4 (6)
Area = 2(6)
Area = 12m
