So, this creates a triangle once again. If we imagine a slide, the slide itself would be the hypotenuse of the triangle, then if there's a ladder leading up to the slide, that would be the vertical length we're looking for. The feet across the ground would be the distance from the bottom of the slide to the bottom of the ladder.
We can use the Pythagorean theorem to find the missing side length, as this would create a right triangle. | 8^2 + b^2 = 10^2 | 64 + b^2 = 100 | b^2 = 36 | b = 6 feet | The slide is 6 feet high at its highest point.
If you already know that you have . . .
1$ after week 1
2$ after week 2
4$ after week 3
8$ after week 4
. . . You can then tell that every week the money you save doubles (times 2)
So to continue . . . .
16$ after week 5
32$ after week 6
64$ after week 7
128$ after week 8
256$ after week 9
512$ after week 10
You will then know that after ten weeks u will have 512$ which is answer choice D.
Hope this helps! :)
Answer:a)117 hours b)4.875days.
Step-by-step explanation:
Using the formula
Speed =Distance / Time
Given Distance = 3 3/5 -mile
and Speed=2/65 miles per hour.
Time =Distance / Speed
Time = (3 3/5)/(2/65)
Time =18/5÷2/65
Time =18/5 x 65/2 =117 hours
Now 24 hours =1 day
therefore 117hours =(117hours x 1 day )/ 24 =4.875days.
Let's define variables:
s = original speed
s + 12 = faster speed
The time for the half of the route is:
60 / s
The time for the second half of the route is:
60 / (s + 12)
The equation for the time of the trip is:
60 / s + 60 / (s + 12) + 1/6 = 120 / s
Where,
1/6: held up for 10 minutes (in hours).
Rewriting the equation we have:
6s (60) + s (s + 12) = 60 * 6 (s + 12)
360s + s ^ 2 + 12s = 360s + 4320
s ^ 2 + 12s = 4320
s ^ 2 + 12s - 4320 = 0
We factor the equation:
(s + 72) (s-60) = 0
We take the positive root so that the problem makes physical sense.
s = 60 Km / h
Answer:
The original speed of the train before it was held up is:
s = 60 Km / h
The answer would b be d 8 I think
