Please help really need it

Mashcka [7]

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

$h(n) = (85\%)^n 6ft = (\frac{17}{20})^n(6ft\times 12\frac{in}{ft}) = (\frac{17}{20})^n\times72'$

b. After 8 bounces we can apply the previous formula with n = 8 to get

$h(8)=(\frac{17}{20})^8\times 72' = 19.62'$

c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous $h(n)$ 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:

$1>(\frac{17}{20})^n\times 72$ Let's first isolate the fraction by dividing by 72.

$(\frac{17}{20})^n$ Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:

$ln ((\frac{17}{20})^n) < ln \frac 1{72} \rightarrow n\times ln (\frac{17}{20}) < -ln72$ . Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:

$-(0.16)n < - 4.27 \rightarrow n>26.31$ 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.

7 0

3 years ago

Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect.

Andre45 [30]

Answer:

Area of kite is 30 sq units.

Solution:

Note: Refer the image attached

From the given,

AC = 10 ; BD = 6

Kite is a quadrilateral as it has two equal adjacent sides.

The formula for the area of quadrilateral (kite) when both the diagonals are given is

$\text { area of kite }=\frac{1}{2} \times d_{1} d_{2}$

Here AC is $d_{1}$ and BD is $d_{2}$

On substituting the given values we get

$area = \frac{1}{2}\times10\times6 = \frac{60}{2}=30 sq units$

4 0

4 years ago

Read 2 more answers

7 x 1 = 7 shows the _______ property

Nimfa-mama [501]

Answer:

multiplication property of one or identity

Step-by-step explanation:

3 0

2 years ago

Need some help! help giving 10 points

steposvetlana [31]

Answer:

The remaining lenghts are $x = 20.364\,cm$ and $y = 12.925\,cm$ .

Step-by-step explanation:

Given that there are two triangles opposite to each other and between two parallel lines, then both are similar, meaning than following relationships exist:

$\frac{AC}{CD} = \frac{BC}{CE} = \frac{AB}{DE}$ (1)