Answer:
a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet). You can see where this is going. After n bounces the ball will be at
b. After 8 bounces we can apply the previous formula with n = 8 to get
c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous 
increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:
Let's first isolate the fraction by dividing by 72.
Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:
. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:
Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.
Sin(x) = opposite over hypotenuse
Cos(x) = adjacent over hypotenuse
Tan(x) = opposite over adjacent
Everything revolves around a right triangle.
From the given equation, "<span>sine of x equals square root of 2 over 2"
Opposite = square root of 2
Hypotenuse = 2
Adjacent = ?
Using the Pythagorean Equation: H^2 = O^2 + A^2
2^2 = (square root of 2)^2 + A^2
A^2 = 4 - 2
A = square root of 2
Cos(x) = square root of 2 over 2
Tan(x) = square root of 2 over square root of 2 = 1</span>
Hi there your answer would be d
<span>y - k = a(x - h)²
</span><span>y = (x − 5)² + 8 -------> y-8 = (x-5)²
</span>y - k = a(x - h)²
y - 8 = (x - 5)²
Compare these formulas we can see that k=8, h =5.
Vertex (5,8).
Area of triangle is 435 sq cm.
