Answer:
27 degrees
Step-by-step explanation:
First, we can draw this out. Since the altitude is 8000, we can make that the height, and it goes 16000 feet through the air, that can be the length. I have drawn this out, as shown in the image. Note that when drawing, because the airplane is going up and forward, that path should represent the hypotenuse. The angle of elevation is the angle connecting the length and the path, as shown by the angle x in the picture.
We know than tan(x) = opposite/adjacent, so tan(x) here = 8000/16000 = 1/2. Then, arctan(1/2) =x = 27 degrees
Answer:
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Step-by-step explanation:
yeah <3
Answer: The boys ate half a pie more than the girls did (5/10 more).
Step-by-step explanation:
2/5 = 4/10
The difference between 9/10 and 4/10 is 5/10, or one half, so that's your answer.
The answer is 2/3 X -13/12 = -5/12x
Answer:
(0, 9 ) and (- 4, 1 )
Step-by-step explanation:
To determine which ordered pairs lie on the graph substitute the x- coordinate of the point into the right side of the equation and compare the value obtained with the y- coordinate
(- 20, - 49 )
2x + 9 = (2 × - 20) + 9 = - 40 + 9 = - 31 ≠ - 49
(1, 10 )
2x + 9 = (2 × 1) + 9 = 2 + 9 = 11 ≠ 10
(0, 9 )
2x + 9 = (2 × 0) + 9 = 0 + 9 = 9 ← point lies on graph
(- 4, 1 )
2x + 9 = (2 × - 4) + 9 = - 8 + 9 = 1 ← point lies on graph
(- 3, 40 )
2x + 9 = ( 2 × - 3) + 9 = - 6 + 9 = 3 ≠ 40
