Colton is about to ride a straight water slide. The launching platform is at the top of a tower that is 8 meters tall. The splash pool at the end of the slide is 15 meters from the base of the tower. How long is the water slide itself? Show your work.

Answer:

h = 64 feet

Step-by-step explanation:

If you graph the function you see that 64 feet is the maximum of the parabola so this is the max height that the projectile reaches.

Answer:

5/39

Step-by-step explanation:

Answer:

The rate of change for the height of the cone is [tex]-2.849\times 10^{-3}[/tex] centimeters per minute.

Step-by-step explanation:

We derive an expression for the rate of change for the height of the cone by differentiating the volume formula given on statement:

[tex]\dot V = \frac{\pi}{3}\cdot (2\cdot r\cdot h \cdot \dot r + r^{2}\cdot \dot h)[/tex] (1)

Where:

[tex]\dot V[/tex] - Rate of change for the volume of the cone, measured in cubic centimeters per minute.

[tex]r[/tex] - Radius of the cone, measured in centimeters.

[tex]h[/tex] - Height of the cone, measured in centimeters.

[tex]\dot r[/tex] - Rate of change for the radius of the cone, measured in centimeters per minute.

[tex]\dot h[/tex] - Rate of change for the height of the cone, measured in centimeters per minute.

If we know that [tex]\dot V = -148\,\frac{cm^{2}}{min}[/tex], [tex]r = 222\,cm[/tex], [tex]V = 21\,cm^{3}[/tex], [tex]\dot r = -5\,\frac{cm}{min}[/tex], then the rate of change for the height is:

[tex]h = \frac{3\cdot V}{\pi\cdot r^{2}}[/tex] (2)

Where [tex]V[/tex] is the volume of the cone, measured in cubic centimeters.

[tex]h = \frac{3\cdot (21\,cm^{3})}{\pi\cdot (222\,cm)^{2}}[/tex]

[tex]h \approx 4.069\times 10^{-4}\,cm[/tex]

From (1):

[tex]\frac{3\cdot \dot V}{\pi} = 2\cdot r\cdot h\cdot \dot r + r^{2}\cdot \dot h[/tex]

[tex]r^{2}\cdot \dot h = \frac{3\cdot \dot V}{\pi}-2\cdot r\cdot h\cdot \dot r[/tex]

[tex]\dot h = \frac{3\cdot \dot V}{\pi\cdot r^{2}}-\frac{2\cdot h\cdot \dot r}{r}[/tex]

[tex]\dot h = \frac{3\cdot \left(-148\,\frac{cm^{3}}{min} \right)}{\pi\cdot (222\,cm)^{2}} -\frac{2\cdot (4.069\times 10^{-4}\,cm)\cdot \left(-5\,\frac{cm}{min} \right)}{222\,cm}[/tex]

[tex]\dot h = -2.849\times 10^{-3}\,\frac{cm}{min}[/tex]

The rate of change for the height of the cone is [tex]-2.849\times 10^{-3}[/tex] centimeters per minute.

Answer:

D

Step-by-step explanation:

In order for the rug to be similar to the first rug, the measurements must have the same ratio as the original measurements.

Longer over shorter: 240/216 = 10/9

Let's look at A: 96/84 = 8/7 (NOT 10/9)

Let's look at B: 110/108 = 55/54 (NOT 10/9)

Let's look at C: 118/96 = 59/48 (NOT 10/9)

Let's look at D: 80/72 = 10/9 (= 10/9)

D is similar

Hope this helps!

Answer:

x=2/3

Step-by-step explanation:

6x=3x+2

3x=2

x=2/3

Answer:

g(2) = -9

Step-by-step explanation:

g(2) = -1 x g(1) - 4

g(2) = -1 x 5 - 4

g(2) = -5 - 4

g(2) = -9

The answer will be 25n because force equals mass times acceleration

Answer:

x = 6

Step-by-step explanation:

This means that they are equivalent to each other.

10 = 30 *Multiply by 3

2 = x

Since we multiplied by 3 to get 30, x is just 2 mulitplied by 3.

x = 6

Answer:

Hi

the answer would be:

10/40 = 2/2+x => if you solve the equation, it'll be equal to : x = 6

I hope that it's correct.

Step-by-step explanation:

Answer:

Lesser to greater

Step-by-step explanation:

1.742

1.779

1.78

1.84

1.873

1.9

Answer:

11 is 150

12 is 168 lectures and 70 professers  

Step-by-step explanation:

Answer:

113.04

Step-by-step explanation:

To calculate a circle's area, the formula is Pi R Squared. R is radius. Radius squared would be 36. (6*6) Now, multiplied by Pi, the area would be:  113.04. (36*3.14)

Answer:

113.04

Step-by-step explanation:

The radius of a circle is 6 yards. What is the circle's area?

r=6 yd

Use 3.14 for ​.

square yards

You answered:

113.1

square yards

remember

Use this formula to find the area from the radius.

A=​r2

Use 3.14 as an approximation for ​.

​≈3.14

solve

The radius is 6 yards. Replace r by 6 in the formula.

A

= ​r2

≈ 3.1462

≈ 3.1466

≈ 113.04

The area is about 113.04 square yards.

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Answer:

Yes; they are congruent

SSS

Step-by-step explanation:

Here, we want to check if the given triangles are congruent

From what we have, we can see that all three sides are marked for both triangles

So the sides of the triangles are income

So therefore, the triangles are congruent by SSS

Answer:

[tex] y = 0.35x + 1.5 [/tex]

Step-by-step explanation:

To write an equation to represent the linear relationship in slope-intercept form, as [tex] y = mx + b [/tex], we need to determine the slope (m) and the y-intercept (b).

Find slope (m) using of the line that passes through (0, 1.5) and (100, 36.5):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{36.5 - 1.5}{100 - 0} = \frac{35}{100} = 0.35 [/tex]

The y-intercept (b) is the value of y when x = 0. It is the point where the y-axis is intercepted. Form the table, we see that y = 1.5 when x = 0. Therefore,

y-intercept (b) = 1.5

Substitute m = 0.35, and b = 1.5 into [tex] y = mx + b [/tex], to get the equation.

The equation would be:

✅[tex] y = 0.35x + 1.5 [/tex]

Answer:

B I believe.

Step-by-step explanation:

Answer:

I can only make an equation

20+30(4)+y(z)=X

Step-by-step explanation:

SO we know the registration fee is 20 dollars so that can’t change

We know that its 30 dollars for up to 4 visits so 30*4

THe Y is for the amount it take to ski after the 4 times

The Z is for the amount of times you went after the 4 times

So yeah

Answer:

23

Step-by-step explanation:

4x+3=95

4x=92

x=23

Answer:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

16 / 20 = 0.800

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 800

Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*

In this case, Rule I applies, so 16/20 (or 0.800) rounded to the nearest hundredth in decimal format is:

0.80

Next, we will make 16/20 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:

0.80 = 0.80/1

Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:

(0.80 x 100) / (1 x 100) = 80/100

That's it. 16/20 rounded to the nearest hundredth is displayed below (simplified if necessary):

4/5

Answer:

I believe the answer is 13 times I'm not positive but 12 tsp is 2 oz so I think 13 would make up for the other part

Step-by-step explanation:

If I'm wrong I'm sorry

Answer:

BD = 63

Step-by-step explanation:

[tex] \frac{2}{12} = \frac{9}{CD} \\ \\ CD= \frac{12 \times 9}{2} \\ \\ CD = 6 \times 9 \\ \\ CD = 54 \\ \\ [/tex]

BD = BC + CD = 9 + 54

BD = 63

Answer:

3.37

Step-by-step explanation:

Given that :

CUNMULATIVE GPA for 4 semesters :

First 3 semesters:

Cummulative GPA = 3.24

Number of courses = 46

4th semester:

Cummulative GPA = 3.86

Number of courses = 12

Cummulative GPA for all 4 semesters:

Sum of product of Cummulative GPA and number of courses / sum of courses

= [(3.24 * 46) + (3.86 * 12)] ÷ (46 + 12)

= (149.04 + 46.32) / 58

= 3.3682758

= 3.37

Tessa's cumulative GPA for all 4 semesters is 3.37 and this can be determined by using arithmetic operations.

Given :

Given that cumulative GPA for 3 semesters was 3.24 for 46 courses and the fourth semester GPA was 3.86 for 12-courses then the cumulative GPA for all 4 semesters will be:

[tex]=\dfrac{(3.24\times 46)+(3.86\times 12)}{(46+12)}[/tex]

[tex]=\dfrac{149.04+46.32}{58}[/tex]

[tex]=\dfrac{195.36}{58}[/tex]

= 3.37

Tessa's cumulative GPA for all 4 semesters is 3.37.

For more information, refer to the link given below:

https://brainly.com/question/15385899

Answer:

The fraction of the day Rehee spent pulling weeds = 1/16

Step-by-step explanation:

Let us take the fraction representing a whole day to be a whole number - 1

Renee spent 1/8 of the day landscaping around the house.

This means she spent 1/8 X 1 landscaping around the house = 1/8

She spent half of the time pulling weeds.

This means she spent 1/2 of 1/8 of  1 landscaping around the house = 1/16

1/2 X 1/8 X 1 = 1/16

The fraction of the day Rehee spent pulling weeds = 1/16

Answer:

3.2seconds

Step-by-step explanation:

Step one:

Robert run the 100 meter dash in 13.5 seconds

We are told that he later  run same distance in 10.3 seconds

Required.

The time difference in the first dash and the second

Step two:

The first dash took 13.5 seconds

the second took 10.3 seconds

the difference = 13.5-10.3= 3.2seconds

Answer:

Height = 5

Width = 7

Step-by-step explanation:

Given that :

Height of rectangle = 2 + Width

Let width = x

Height = x + 2

Perimeter = 24 cm

Perimeter of a rectangle ;

P = 2( height + Width)

P = 24 ; Length = x + 2 ; x

24 = 2(x + 2 + x)

24 = 2(2x + 2)

24 = 4x + 4

24 - 4 = 4x

20 = 4x

x = 5

Height = 5

Width = x + 2 = 5 +2 = 7

Answer:

13x

Step-by-step explanation:

Answer:

13x

Step-by-step explanation:

So we need to make the denominator equal in order to collect like terms.

25x^2/5x+8x^2/x =?

Denominator needs to be 5x so multiply the second quotient by 5.

25x^2/5x + 40x^2/5x = ?

=65x^2/5x

=13x^2/x      <---- x^2/x is like 2-1 which is exponent 1, x to the exponent 1 is x

=13x

Your answer is 13x

Answer:

6

Step-by-step explanation:

x=6

ax+bx=cx

10+bx=16

10+6=16

x=6

Answer:

Step-by-step explain

1. 30-50=20

2. Two negatives equal a positive

So first you subtract 30 by 50 and get 20 then you look at the signs which are both negative. Meaning both of the negative signs become a positive. (-30)-(-50)=20

Answer:

2

Step-by-step explanation: