Step-by-step explanation:
Let the height above which the ball is released be H
This problem can be tackled using geometric progression.
The nth term of a Geometric progression is given by the above, where n is the term index, a is the first term and the sum for such a progression up to the Nth term is
To find the total distance travel one has to sum over up to n=3. But there is little subtle point here. For the first bounce ( n=1 ), the ball has only travel H and not 2H. For subsequent bounces ( n=2,3,4,5...... ), the distance travel is 2×(3/4)n×H
a=2H..........r=3/4
However we have to subtract H because up to the first bounce, the ball only travel H instead of 2H
Therefore the total distance travel up to the Nth bounce is
For N=3 one obtains
D=3.625H
If this is an equilateral triangle, we need half of it to find the height which is a leg of a right triangle with a hypotenuse of 15. That means that the base of this half triangle is 7.5. Use Pythagorean's Theorem to fine the height.
. x = 12.99 or 13
Answer:
If you mean 656, then the answer is 509,712.
Edit: If you're talking about measurements, then it would be 50,893 feet and 6 inches.
Answer:
2.80
Step-by-step explanation:
The discount is the regular price times the discount
discount = 19 *15%
discount = 2.85
The new price is the regular price minus the discount
new price = 19-2.85
=16.15
Now she has to pay the sales tax
tax = new price * tax rate
tax= 16.15 * 6.5%
= 16.15 *.065
=1.05
We add the tax to the new price to get the final price
final price = new price+tax
= 16.15 +1.05
=17.20
She pays with a 20 dollar bill
Change = payment - final price
=20.00 - 17.20
= 2.80
Answer:
Step-by-step explanation:
21/7=3
5*3=15 width
3*3=9 height
