Answer:20mph
Step-by-step explanation:
speed of plane = x mph
Speed of plane with wind = 485 mph
So therefore, speed of wind =
485 - x
Speed of plane against wind = 445 mph
So therefore, speed of wind =
x - 445
So therefore, equating the 2 equations of speed of wind
485 - x = x - 445
Collect like terms
485 + 445 = x + x
930 = 2x
2x = 930
x = 930/2 = 465 mph
Speed of wind = x = 465mph
So we put this value on any of the equations for speed of wind
Speed of wind = x - 445 = 465 - 445
= 20 mph
So therefore, speed of wind = 20mph
By the Pythagorean theorem,
.. x^2 +(x -46)^2 = (x +4)^2
.. 2x^2 -92x +2116 = x^2 +8x +16
.. x^2 -100x +2100 = 0
.. (x -50)^2 -400 = 0
.. x = 50 ±20 . . . . . only x=70 makes any sense in the problem
The height, x, of the tree is 70 meters.
15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.
16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.
17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.
18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.
19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.
20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.
Hope this helps! :)
Answer:
The odds of an event happening depend on the situation so it is really difficult to tell what the odds would be.
Step-by-step explanation:
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