These are complementary angles, meaning they add up to 180
Let's write an equation
180=38 + 42 + (2x+10)
subtract 38 from both sides
142 = 42 + 2x + 10
subtract 42 from both sides
100 = 2x + 10
subtract 10 from both sides
90 = 2x
divide both sides by 2
45 = x
Plug that back into the angle
2x+10
2(45)+ 10
90 + 10
100
The angle is 100 degrees.
To check:
180 =?= 38 + 42 + (2x+10)
180 =?= 38 + 42 + (2(45) + 10)
180 =?= 80 + (90 + 10)
180 =?= 80 + 100
180 = 180
Hope this helps :)
Answer:
14
Step-by-step explanation:
absolute value works where it doesnt matter if the number is positive or negative. the absolute value is the number positive. an absolute value can not be negative.
Answer:
Step-by-step explanation:
This question is asking you "what angle gives you a cos of -square root 3/2"? The cosine by definition is the side adjacent to the angle over the hypotenuse. So set up the right triangle. We do not know which quadrant we are in since we are not told that, but if the cos is negative, then we are in either QII or QIII. In QII this is a 150 degree angle, and in QIII this is a 210 degree angle.
Answer:
D, B, C, A
Step-by-step explanation:
D is the x coordinate of the vertex of the function because the greatest daily profit means the vertex of the parabola. and since x represents price, the answer is D
B is the y coordinate of the vertex of the function because the max profit means you are looking for the highest or lowest point of the parabola. And since the leading coefficient is -10, that means the opening is downward and there is a max, not min value.
if the make no money ($0 daily profit) which is the y value, that means you are looking for the x-int. This is because x-int if when y = 0. the answer is c
y int is when x is 0, so the answer is A
