Speed traveling west = x - 10 km /hr
275 / ( x-10) - 300 / x = 1/2
275 *2x - 300 (x-10)*2 = ( x-10) *x
550x - 600x +6000 = x^2 -10x
x^2 +40x - 6000 = 0
( x -60) ( x+100) = 0
x = 60
ANSWER East = 60 km/ hr West = 50 km /hr
CHECK
300 /60 = 5 hours
275 /50 = 5.5 hours
Answer:
8 is your answer
Step-by-step explanation:
First plug in 6
6÷3+6
Then divide 6/3 which is 2
so 2+6 is 8
Answer:
106.1 ft/s
Step-by-step explanation:
You know the diagonal of a square is √2 times the length of one side, so the distance from 3rd to 1st is 90√2 feet ≈ 127.2792 ft.
The speed is the ratio of distance to time:
speed = distance/time = 127.2972 ft/(1.2 s) ≈ 106.1 ft/s.
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In case you have never figured or seen the computation of the diagonal of a square (the hypotenuse of an isosceles right triangle), consider the square with side lengths 1. The diagonal will cut the square into halves that are isosceles right triangles with leg lengths 1. Then the Pythagorean theorem can be used to find the diagonal length d:
d² = 1² + 1²
d² = 2
d = √2
Since this is the diagonal for a side length of 1, any other side length will serve as a scale factor for this value. A square with a side length of 90 ft will have a diagonal measuring 90√2 ft.
There are two congruent triangles that are being formed from the lamppost, the light, the ground and the man. Always try to draw a picture for these types of problems. It helps a lot when solving. Your answer should be about 4.3ft
A. True. There are 52 cards total and you only pick 5. Order doesn't matter.
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B. False. Order doesn't matter so you use a combination (instead of a permutation) as choice A shows.
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C. False. The answer is roughly 0.000858 as shown by the calculation below
(13/52)*(12/51)*(13/50)*(12/49)*(11/48) = 0.000858
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D. False. See calculation below
(13/52)*(12/51)*(11/50)*(10/49)*(9/48) = 0.000495
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E. True. See calculation below
(13/52)*(12/51)*(11/50)*(10/49)*(9/48) = 0.000495
this value rounds to roughly 0.0005
