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.

Answers

Answer 1

Answer:

The length of the water slide itself is 17 meters

Step-by-step explanation:

Here, we want to calculate the length of the water slide

from the description given in the question;

we have a right angled triangle where the height of the tower, the distance from the base of the tower and the length of the slide itself represents the sides of the triangle

From the description given in the question, the water slide length represents the slope of the right triangle formed

thus, mathematically by using Pythagoras’ theorem;

The square of the hypotenuse equals the sum of the squares of the two other sides

Let us call the length of the water slide y

y^2 = 8^2 + 15^2

y^2 = 64 + 225

y^2 = 289

y = √289

y = 17 meters


Related Questions

20 points-
I need help

Answers

Answer:

11 is 150

12 is 168 lectures and 70 professers  

Step-by-step explanation:

If a projectile is fired straight upward from the ground with an initial speed of 64 feet per
h(t) = - 16t? + 64t. Find the maximum height of the projectile.
The maximum height of the projectile is
(Simplify your answer.)

Answers

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.

A jar contains 444 red marbles, 444 green marbles, and 555 blue marbles.
If we choose a marble, then another marble without putting the first one back in the jar, what is the probability that the first marble will be blue and the second will be green?

Answers

Answer:

5/39

Step-by-step explanation:

Rachel travelled 240 km in 4 hours by train and then travelled 120
km in 3 hours by car. What is the average speed during the whole
journey?
A. 60.9 km/hr
B. 55 km/hr
C. 51.42 km/hr
D. 78 km/hr

Answers

Answer:

B I believe.

Step-by-step explanation:

solve for x... Please i need help!

Answers

Answer:

6

Step-by-step explanation:

x=6

ax+bx=cx

10+bx=16

10+6=16

x=6

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

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

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

This is so hard I don’t even know

The radius of a cone is decreasing at a constant rate of 5 centimeters per minute, and the volume is decreasing at a rate of 148 cubic centimeters per minute. At the instant when the radius of the cone is 222 centimeters and the volume is 21 cubic centimeters, what is the rate of change of the height? The volume of a cone can be found with the equation V=1/3πr^2h. Round your answer to three decimal places.

Answers

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.

Robert run the 100 meter dash in 13.5. later he run same distance in 10.3 seconds. how many seconds less did it take him to run the same distance the second time?

Answers

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

a 0.5-kg ball accelerated at 50 m/s what was the force applied

Answers

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

Tessa's cumulative GPA 'for 3 semesters was 3.24 for 46 course units. Her fourth semester GPA was 3.86 for 12 course units. What is Tessa's cumulative GPA for all 4 semesters

Answers

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 :

Tessa's cumulative GPA 'for 3 semesters was 3.24 for 46-course units. Her fourth semester GPA was 3.86 for 12-course units.

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

plssss helpppp !!!! find the missing side length me in the rectangular prism

Answers

The s=140.5 and the r=9.192 but rounded that would be r=9.2

HURRY I NEED HELP ASAP

Answers

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

Pleaseeeee helpppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

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:

POSSIBLE POINT
Ms. Gomer-Weyh loves to ski! She joined a local ski club which is featuring a special $20 registration fee plus $30 per visit for up to 4 visits.
Write the equation and make a graph that models the situation.

Answers

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

{(2,2),Is this a function?

Answers

no, it is not a function because that is for any y single value.
no because it is repetitive.

HELP PLEASE

g(1)=5
g(n)=-1 x g(n-1)-4
g(2)=
I WILL GIVE 30 POINTS (if its right)

Answers

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

1.873, 1.9, 1.78, 1.84, 1.779, 1.742

LESSER GREATER


ASAP PLEASE

Answers

Answer:

Lesser to greater

Step-by-step explanation:

1.742

1.779

1.78

1.84

1.873

1.9

3. Plantea un sistema de ecuaciones y halla las dimensiones de un rectángulo cuya altura mide 2 cm más que su base y cuyo perímetro es igual a 24 cm. 4. Resuelve por el método de igualación el siguiente sistema de ecuaciones

Answers

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

Why does -30 - - 50 equal 20? What steps are being done?

Answers

Two negatives equal a positive, so its just like subtracting 50 and 30, but your answer will be a positive.

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

The radius of a circle is 6 yards. What is the circle's area?
Use 3.14 for PI

Answers

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.

Questions

answered

10

Time

elapsed

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HR MIN SEC

SmartScore

out of 100

32

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pls help ill give extra points

Answers

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

three times a number, less 4 is
2

Answers

Answer:

2

Step-by-step explanation:

Renee spent 1/8 of the day landscaping around the house. She spent half of the time pulling weeds. What fraction of the day did rehne spend pulling weeds?

Answers

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

what is 16/20 to the nearest hundreth

Answers

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

The rug in Diana's dining room is 216 inches by 240 inches. She wants to put a similar-sized rug in her living room. What size rug would be similar to the dining room rug?

A. 84 inches by 96 inches
B. 108 inches by 110 inches
C. 96 inches by 118 inches
D. 72 inches by 80 inches

I"LL GIVE BRAINLIEST!!!!

Answers

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!

Find the value of x..........

Answers

Answer:

23

Step-by-step explanation:

4x+3=95

4x=92

x=23

Write the equation of this linear relationship in slope intercept form, use decimals in your answer!! Please help

Answers

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]

Find the value of x in the parallelogram.

Answers

Answer:

x=2/3

Step-by-step explanation:

6x=3x+2

3x=2

x=2/3

can anyone help me please? thanks ^^

Answers

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

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At this rate, how much would 10 pairs of socks cost? 6. Fill in the blanks with the correct verb form of the future perfect tense.1. By next February 1(write) my third book.2. I hope you ...(not/ forget) my name by tomorrow.3. By next week we........ (re-decorate) the house....she .......... (use) a motorbike for 5 years by next month?5. I hope(not/ make) a lot of mistakes in this exam when Ifinish it.6. By the end of this year I ......(drive) more than one hundredthousand kilometers with this car.7. I hope it(stop) raining before the match starts.8....he ........(have) an operation when you turn back? Read the paragraph.Violence in video games is essentially to blame for violence in our society. When children are bombarded with monstrous images, they begin to think that these types of actions are normal or acceptable. Children and teenagers are spending excessive numbers of hours playing video games, and they may begin to use them as a guideline for how to act and behave. 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