A bouncy ball is dropped such that the height of its first bounce is 3.75 feet and each
successive bounce is 77% of the previous bounce's height. What would be the height
of the 12th bounce of the ball? Round to the nearest tenth (if necessary).

Given:

[tex]\Delta BAC\sim \Delta DEC[/tex]

To find:

The value of x.

Solution:

We have,

[tex]\Delta BAC\sim \Delta DEC[/tex]

The corresponding parts of similar triangles are proportional.

[tex]\dfrac{AB}{ED}=\dfrac{AC}{EC}[/tex]

On substituting the values, we get

[tex]\dfrac{24}{56}=\dfrac{2x}{3x+5}[/tex]

[tex]\dfrac{3}{7}=\dfrac{2x}{3x+5}[/tex]

[tex]3(3x+5)=2x(7)[/tex]

[tex]9x+15=14x[/tex]

Subtract [tex]9x[/tex] from both sides.

[tex]15=14x-9x[/tex]

[tex]15=5x[/tex]

[tex]\dfrac{15}{5}=x[/tex]

[tex]3=x[/tex]

Therefore, the value of x is 3 units.

Answer:

179.59

Step-by-step explanation:

.........................

Answer:

C.

Step-by-step explanation:

A and D are incorrect because there is one outlier in the lower graph, and there are no signs of clusters on the graph, making B wrong as well. This leaves the only answer, C, which makes sense because there is a positive correlation of a line.

Answer:

(2, 8)

Step-by-step explanation:

Given the system of equation

3x+2y=22  ... *4

-4x+3y=16 .... *3

Using the elimination method

12x + 8y = 88

-12x + 9y = 48

Add

8y + 9y = 88+48

17y = 136

y = 136/17

y = 8

Recall that

3x+2y=22

3x+2(8)=22

3x + 16 = 22

3x = 22-16

3x = 6

x = 6/3

x = 2

Hence the required solution (x, y) is (2, 8)

Answer:

-19

Step-by-step explanation:

Answer:

-19

hope it helps. Plz mark brainliest!

explanation:

To find its opposite, change the negative sign to a positive sign. The answer is that the opposite of 19 is -19.

Answer:

x

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

9, 12, 15 is a multiple of 3, 4, 5 which is a right triangle

Answer:

A. 9, 12, 15

Step-by-step explanation:

A. [tex]9^{2} +12^{2} =15^{2}[/tex]

B. [tex]6^{2} +2^{2}\neq\sqrt{38}^{2}[/tex]

C.[tex]3^{2} +9^{2} \neq \sqrt{91} ^{2}[/tex]

Answer:

11.424 is the product of 22.4 x 0.51

Answer:

Distance between boat and light house = 223.88 meter (Approx.)

Step-by-step explanation:

Given:

Height of light house = 60 meters

Angle of depression to boat = 15°

Find:

Distance between boat and light house

Computation:

Using trigonometry application:

Tanθ = Perpendicular / Base

Tan 15 = Height of light house / Distance between boat and light house

0.268 = 60 / Distance between boat and light house

Distance between boat and light house = 60 / 0.268

Distance between boat and light house = 223.88 meter (Approx.)

Answer:

5

Step-by-step explanation:

Answer:

binomial

Step-by-step explanation:

there are two terms, "11x" and "20"

Answer:

yes, they can become they're still counting numbers

Answer:

Mean is 5.2 Median is $6.00

Step-by-step explanation:

To find mean u have to find the "average" whereby u add all the numbers and divide by the number of numbers.

($2+$4+$6+$6+$8)= $26. Then since there are 5 numbers in all u divide by 5.

$26÷5 =5.2 5.2 is the median.

Median is the middle number. To find it u have to rearrange the numbers from smallest to largest and find the middle number.

$2, $4, {$6,} $6, $8

$6 is the median.

Answer:

7 =121 and t underscore 15 =193

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = - 2 [tex](-3)^{n-1}[/tex]

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

r = 6 ÷ - 2 = - 18 ÷ 6 = 54 ÷ - 18 = - 3

This indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 2 and r = - 3 , then

[tex]a_{n}[/tex] = - 2 [tex](-3)^{n-1}[/tex]

Answer:

Step-by-step explanation:

3x-5(-4)=23      (1,-4)

3x+20=23

-20

3x=3/3

x=1

Answer:

[tex]\huge\boxed{\sf x = 5}[/tex]

Step-by-step explanation:

Since, the chord is being bisected by the diameter (being divided into two equal parts). Hence,

5x - 6 = 2x + 9

5x - 2x = 9 + 6

3x = 15

Divide both sides by 3

x = 15 / 3

x = 5

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

60,000

Step-by-step explanation:

Explanation: 34 is double of 17 so the town doubles twice, 15,000 * 2 * 2 is your Expression and leads you to 60,000.

Answer:

x=9.43mm

Step-by-step explanation:

H= A/C

H=9.15/cos(14)=9.43mm

Answer:

9.43

Step-by-step explanation:

If x = 2.28

pythagoras theory that a^2 + b^2 = c^2

so 9.15^2 + 2.28^2 = 88.920

[tex]\sqrt88.920[/tex]=9.429

See attachment for reply.

Answer:

Fraction: 9/10

Decimal: 0.9

Percentage: 90%

Answer:

Fraction: 9/10

Decimal: 0.9

Percent: 90%

Step-by-step explanation:

Answer:

f is the answer

Step-by-step explanation:

Answer:

$25 for Adam and $75 for Hamza

Step-by-step explanation:

$100 will be divided to 3 + 1 = 4 parts

the dollars Adam received

= $100 × 1/4

= $25

the dollars Hamza received

= $100 × 3/4

= $75

-----------------------------------------------------------

the dollars Hamza give to Adam

= $75 × 25%

= $75 × 25/100

= $18.75

the dollars Adam have

= $25 + $18.75

= $43.75

the dollars Hamza have

= $75 - $18.75

= $56.25

the ratio

= 43.75：56.25

= 7：9

Answer:

Answer B

Step-by-step explanation:

You have to use the pythagorean theorm which states that a^2+b^2=c^2

So, 7^2+x^2=9^2

49+x^2=81 subtract 49 from both sides of the equation

x^2=32

x=sqrt(32)

sqrt(32)=sqrt(16)*sqrt(2)

=4*sqrt(2)      

Answer:

2.25 -0.25 increasing (-0.25,2.25)

Step-by-step explanation:

The minimum and maximum values are negative 1/4 and 9/4. In the interval of (0, π/2), the function is decreasing. And the range of the function will be [–1/4, 9/4].

It is a function that repeats itself in a particular time interval.

The equation is given as

y = A sin (ωx + Ф) + C

Where A is the amplitude, ω is the frequency, Ф is the phase difference, and C is the constant.

The function is given below.

f(x) = (5/4) sin(x) + 1

Compare the function with standard equation.

A = 5 / 4

ω = 1

Ф = 0

C = 1

Then the maximum value of the function at sin x = 1, will be

Maximum value = 5/4 + 1

Maximum value = 9/4

Then the minimum value of the function at sin x = –1, will be

Minimum value = –5/4 + 1

Minimum value = –1/4

In the interval of (0, π/2), the function is decreasing.

And the range of the function will be [–1/4, 9/4].

More about the sine function link is given below.

https://brainly.com/question/3876065

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