Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root.

Answers

Answer 1

Answer:

[tex]y = \sqrt{ 900 - x\²[/tex]

Step-by-step explanation:

In the complete question, the area of  the roller coaster is:

[tex]x\² + y^2 = 900[/tex]

Required

Solve for y

We have:

[tex]x\² + y^2 = 900[/tex]

Subtract [tex]x\²[/tex] from both sides

[tex]y^2 = 900 - x\²[/tex]

Take positive roots of both sides

[tex]y = \sqrt{ 900 - x\²[/tex]


Related Questions


The dimensions of triangular prom are shown in the diagram
10 cm
10 cm
cm
34 cm
-12 cm
What is the total surface area of the triangular prism in square centimeters?
A 1,184 sq cm
B 1,632 sq cm
C 3,264 sq cm
D 32,640 sq cm

Answers

Answer:

1,184 sq cm

Step-by-step explanation:

Surface area= 2 (1/2 x 8 x 12 + 34 x 10) + 34 x 12

                    = 1,184 sq cm

Hope this helps!

ABC is a right angled triangle
AC=6cm
AB=20cm
Calculate length of BC
Give answer to 1 decimal place

Answers

Answer:

19.1cm

Step-by-step explanation:

AB=20

AC=6

BC=?

So,by Pythagoras Theorem:-

AC2=AB2+BC2

Therefore:-

AB2-AC2=BC2

400-36=BC2

√364=BC2

19.1=BC2

Answer:

19.1 cm

I don't have a picture so I hope this is what you mean/

Step-by-step explanation:

AB²-AC²=BC²

20²-6²=BC²

400-36=BC²

364=BC²

√364=√BC²

BC≈19.1

Please help thank you.

Answers

Step-by-step explanation:

AAA are the correct answer.

It is related to congurency.

Answer:

AAA

Step-by-step explanation:

You have 2 of angles. Add them together and subtract them by 180. That is how to got AAA.

Need this in now it’s 15 points

Answers

Try to find the slope
Change in y/change in x
The 2 dots on the line should be used.
8/4 so it’s y=2x+c
Use one of the dots (3,6) into the equation to get c.
6=2(3)+c
6=6+c
C=0
Y=2x
The answer is the last option

The growth rate of some species of bamboo is 0.0000237 miles per hour. write this in scientific notation

Answers

Answer:

2.37 x 10 ^ -5

Step-by-step explanation:

can someone pls help for brainlest

Answers

Answer:

a = 6

Step-by-step explanation:

Area = 36 [tex]in^{2}[/tex]

Only one number will make this missing length true.

Obviously it's a square so one number x one number will equal to 36 [tex]in^{2}[/tex]

6 x 6 = 36 [tex]in^{2}[/tex]

Answer:

The missing length of square is 6 in.

Step-by-step explanation:

Here we have given the area of square = 36 in ²

We need to find the missing length of square .

note :- missing length = side all side of square are equal.

Using formula

Area of square = ( side ) ²

put the values

36 in² = ( side)²

Finding the square root of 36 in²

√36 in ² = side

6 in = side

Hence, the side of square is 6 in.

If c=8, what is the value of 4c+(4-3)

Answers

The answer is 33

Explanation
4c+(4-3)
C=8
Substitution
4x8+4-3
Calculate
4x8+4-3
32+4-3
Which equal 33 that’s how I got the answer

Answer:

[tex]33[/tex]

Step-by-step explanation:

[tex]c = 8 [/tex]

Substitute 8 in the equation where c is.

[tex]4(8) + 4 - 3 \\ 32 + 1 \\ = 33[/tex]

A group of people were asked how many people live in their household. What percent of these people have exactly 2 people in their household?

Answers

Answer:

16%

Step-by-step explanation:

Given

[tex]\begin{array}{cccccc}{Size & {1} & {2} & {3} & {4} & {5} \ \\ {f} & {3} & {4} & {6} & {7} & {5} \ \end{array}[/tex]

Required

The percentage of household with 2 people

First, calculate the total frequency

[tex]Total = 3 + 4 +6+7+5[/tex]

[tex]Total = 25[/tex]

The frequency of household with 2 people is:

[tex]f(2) = 4[/tex]

So, the percentage is calculated as:

[tex]\% =\frac{f(2)}{Total} * 100\%[/tex]

[tex]\% =\frac{4}{25} * 100\%[/tex]

[tex]\% =\frac{400}{25}\%[/tex]

[tex]\% =16\%[/tex]

I’m not really sure what it’s would be?

Answers

angle y = 130°

___________________________

Which best describes angle 3 and angle 7?

Answers

Answer:

A) corresponding

Step-by-step explanation:

express the following number in words; 3468729165​

Answers

Answer:

three trillion four hundred and sixty eight million, seven hundred and twenty nine thousand and one hundred sixty five

Step-by-step explanation:

Given that
a
= 7 cm and
b
= 8 cm, work out the area of the triangle.

Answers

Answer:

28

Step-by-step explanation:

1/2 x base x height = Area

a = base

b = height

1/2 x 7 x 8 = 28

Answer:

28

Step-by-step explanation:

1/2x 7 x 8

answer is 28

Bye

:-)

Players on a volleyball team wear jerseys numbered 1 through 9. In how many different ways could you arrange 5 of the players?
a
15,120
b
120
c
362,880
d
24

Answers

Answer:

Total number of arrangements for 5 players = 15,120 arrangements

Step-by-step explanation:

Given:

Number given from 1 to 9

So,

Total number for jerseys = 9

Find:

Total number of arrangements for 5 players

Computation:

Total number of arrangements for 5 players = 9! / [9! - 5!]

Total number of arrangements for 5 players = 9 x 8 x 7 x 6 x 5

Total number of arrangements for 5 players = 15,120 arrangements

A map has a scale of 2 inches : 25 miles. Chandra uses the map to find the distance from the zoo to her house. The distance on the map is 5 inches. How many miles away is the zoo from Chandra’s house?

Answers

Step-by-step explanation:

Turn the ratio into a fraction

2in /25 mi

You want to have miles so you can flip the fraction and mutiply to cancel out the inches

(25mi / 2in) x 5in = (25 mi x 5in) / 2in

Assignment due soon! Need help

Answers

Answer: 30°

Step by step explanation:
1) Supplementary angles add up to 180°
2) (2x+10)+(5x-40)=180
3) solve for x
4) x=30

find the time in which a train of length 132 M will cross and electric post if the speed of the train be to 6.4 km /hour​

Answers

Answer:

It will take the train 1.2375 minutes to pass the tunnel

Step-by-step explanation:

Mathematically, we know that ;

time = distance/ speed

The distance here is the length of the train which is 132 m ; we can convert this to km by dividing by 1000

We have this as 132/1000 = 0.132 km

So, we have the time as;

0.132 km/6.4 km/hr = 0.020625 hr

Mathematically, we know that 60 minutes make an hour;

so we have

0.020625 * 60 = 1.2375 minutes

Consider the following sequence -3; 2; 7; 12 Find an expression for the term Which term of the sequence with equal 77"}​

Answers

Answer: n77 into below

Step-by-step explanation:

N77 value = starting point + (77-1) x (5)

= -3 + (5)x76

U can do the calcs from here yeah?

Simplify this expression.
[tex]2\sqrt5(13+\sqrt2)[/tex]

Answers

Step-by-step explanation:

everything can be found in the picture

Answer:

[tex]\small{\boxed{\tt{2 \sqrt{5} (13 + \sqrt{2} = 26 \sqrt{5} + 2 \sqrt{10} = 64.3}}}[/tex]

Step-by-step explanation:

Given : Expression

[tex]2 \sqrt{5} (13 + \sqrt{2} )[/tex]

To find : Simplify the expression

Solution :

Step 1 - Write the expression

[tex]2 \sqrt{5} (13 + \sqrt{2} )[/tex]

Step 2 - Apply distributive property,

[tex]a(b + c) = a × b + a \times c[/tex]

[tex] = 2 \sqrt{5} \times 13 + 2 \sqrt{5 } \times \sqrt{2} [/tex]

Step 3 - Apply square root property,

[tex] \sqrt{x} \times \sqrt{y} = \sqrt{xy} [/tex]

[tex] = 26 \sqrt{5} + 2 \sqrt{10} [/tex]

or to simplify more substitute the value of [tex] \sqrt{5} = 2.23[/tex] and [tex] \sqrt{10} = 3.16[/tex]

Simplification-

[tex] = 26(2.23) + 2(3.16)[/tex]

[tex]= 57.98 + 6.32[/tex]

[tex]= 64.3[/tex]

Please help me with this

Answers

Answer:

Step-by-step explanation:

Gabriela has  solved incorrectly. 5 should distributed to 9x & (-8) and 4 should be distributed between x & 2

5(9x - 8) = 4*(x + 2)

5*9x - 5*8 = 4*x + 4*2

45x - 40  = 4x + 8

Subtract 4x from both sides

45x - 4x - 40 = 8

       41x - 40 = 8

Add 40 to both sides

41x = 8 + 40

  41x = 48

x = 48/41

Simplify the fraction below leaving your answer as a fraction where both the numerator and denominator are positive integers. 3⁹÷3⁵÷9³×3​

Answers

Answer:

1/27

Step-by-step explanation:

the first person to solve tgis will receive brainliest. 2x-3=8​

Answers

[tex]\longrightarrow{\green{x\:=5.5}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]2x - 3 = 8 \\ \\⇝2x = 8 + 3 \\ \\⇝2x = 11 \\ \\⇝x = \frac{11}{2} \\ \\⇝x = 5.5[/tex]

To verify:-

[tex]2x - 3 = 8 \\ \\ ➪ \: 2 \times 5.5 - 3 = 8 \\ \\➪ \: 11 - 3 = 8 \\ \\➪ \: 8 = 8 \\ \\ ➪ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

is (0,0) a solution to x + y > 5 , 2x - y < 4​

Answers

Answer:

(0,0) is not a solution to x + y > 5 , but it is a solution for 2x - y < 4

Step-by-step explanation:

Substitute x=0,y=0

0>5 (not possible)

0<4(possible)

What is the slope of the line? 4x-1=3y+54x−1=3y+54, x, minus, 1, equals, 3, y, plus, 5 Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac23 3 2 ​ start fraction, 2, divided by, 3, end fraction (Choice B) B \dfrac34 4 3 ​ start fraction, 3, divided by, 4, end fraction (Choice C) C \dfrac32 2 3 ​ start fraction, 3, divided by, 2, end fraction (Choice D) D \dfrac43 3 4 ​

Answers

Answer:

Slope of the line, m = 4/3

Step-by-step explanation:

Given;

4x - 1 = 3y + 5

Make y the subject

4x - 1 = 3y + 5

4x - 3y = 5 + 1

4x - 3y = 6

-3y = 6 - 4x

Divide both sides by -3

y = (6 - 4x) / -3

y = -2 + 4/3x

Slope intercept form is given by

y = mx + b

Where,

m = slope

y = - 2 + 4/3x

m = 4/3

Slope of the line, m = 4/3

Answer:

Above answer is INCORRECT.

The CORRECT answer is 2/3

Step-by-step explanation:

A telephone technician charges $45.00
per hour plus a $50.00 service charge.
Your father's firm hires him to hook up
his company's phone system.
Here is the cost function used to
represent this situation in terms of the
number of hours worked:
c(h) = 45h + 50
Find the total charges if it takes the telephone 4.5 hours to complete the task

Answers

252.5 is the answer to this question

what is the measure of angle dcu

Answers

I need more info

Step-by-step explanation:

I can help If i had more info

(Four-fifths + three-fifths) + 3.5 times 5

Answers

Answer:

18.9

Step-by-step explanation:

First, lets solve for the fractions. You can divide the fractions from the top, to their bottom (4 divided by 5, 3 divided by 5), in this case, you get 1.4. Now you have to rewrite the problem: 1.4+3.5x5. You solve it, and get 18.9.

Answer:

18.9

Hope that this helps!

What is the total surface area of the square pyramid? ​

Answers

Answer:

D

Step-by-step explanation:

[tex]A_1 = a^2 = 14^2 = 196[/tex]

[tex]A_2 = 4(\frac{b * h}{2}) = 4(\frac{14 * 12}{2}) = 4(\frac{168}{2}) = 4 * 84 = 336[/tex]

[tex]SA = A_1 + A_2 = 196 + 336 = 532\ cm^2[/tex]

What's the circumference of a circle with a diameter of 18 inches? Use 3.14 for pi, do not round the answer.​

Answers

Circumference = (3.14)(18)

C= 56.52inches

if a dog drinks 8 quart of water a day, how many gallons does the dog drink in 3 days​

Answers

Answer:

6 gallons

Step-by-step explanation:

There are 4 quarts in gallons, so the dog drinks 2 gallons a day.

When we multiply 2 and 3, we would get 6.

So the dog drinks 6 gallons in 3 days (I don't know about you, but that's a lot of water)

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

Have a great summer :)

Answer:

The dog will drink 6 gallons.

Step-by-step explanation:

Every 8 quarts is 2 gallons.

Multiply 2 by 3, you'll get 6.

that's how much gallons a dog drinks in 3 days.

Plot the coordinates of the point:
(a) whose co-ordinate is -5 and which lies on y axis.
(b) Which lies on x and y-axis both.
(c) whose abscissa is 3 and which lies on x-axis in cartasian plance.​

Answers

Answer:

First, a regular point is written as a coordinate pair (x, y).

If the point lies on the x-axis, then we have y = 0

if the point lies on the y-axis, then x = 0

And x is the abscissa, y is the ordinate.

The points will be graphed at the end.

a)

Ordinate = -5, then y = -5

and it ies on the y-axis, then x = 0

So this point is represented by A = (0, -5)

b)

Lies on the y-axis and in the x-axis, then x = 0 and y = 0, so the point is represented by B = (0, 0)

c)

The abscissa is 3, so x = 3, and the point lies on the x-axis, so y = 0

Then this point is represented by C = (3, 0)

The graph with the 3 points are:

Other Questions
1. A drama club earned $662.50 from a production where 85 adult tickets were sold and 65student tickets were sold. An adult ticket costs $2.50 more than a student ticket. Whichsystem of equations can be used to find a, the cost of an adult ticket, and s, the cost of astudent ticket? Find the surface area of theprism. . En la facultad de Ingeniera Industrial se realiz una encuesta a 200 personas para saber que lenguaje de programacin preferan para aprender al inicio, se obtuvo: 50 prefieren C, 65 prefieren C#, 77 prefieren Python, 100 prefieren C o C#, 105 prefieren C# o Python, 110 prefieren C o Python, 10 personas prefieren C y Python pero no C#. Distrust between the US and the Soviet UnionWhich of the following statements about the relationship between the United States and the Soviet Unionduring this time is true?The relationship suffered when Stalin refused to assist the Allies in their war against Hitler.The United States was concerned about Stalin's plans for his country in the postwar world.The United States and the Soviet Union respected each other's differences in opinion.DONE We dont dance / arent dancing at school today. Boys dont wear / arent wearing pink T-shirts. Plz, help ASAP!! NO FILES! T _____ espaol.estudiisestudiamosestudiaestudias Think back to one of your favorite TV shows (in any genre) and write a note on what made the dialogue for the show memorable. Which do you think was the most memorable character of the show? Is the character more memorable for you because you have known someone like that in real life? In general, what made the character memorable? What does the success of the TV show tell you about writing for television? 3Select the correct text in the passage.Which sentence in the adapted excerpt from GK Chesterton's "The Fallacy of Success" contains the central idea of the essay? Once the actions of a person involved in a bias incident began to escalate, do you think its difficult to stop? Why or why not? modern example of the scientific revolution Describing ColonialismQuickCheckWhich statements are true about British colonialism? Check all that apply.AbelThe British Empire was the largest empire in the history of the world.By 1921, the British ruled over five hundred million people and a quarter of the world's land area.The British Empire continued expanding in the 21st century.The British Empire still controls most of Asia.Great Britain granted independence to most colonies by the 1960s.0 0 identify the angle type, then find the value of x What is most likely Mr. White's final wish?A. To stop his wife from feeling so sadB. To go back in time and never make the first wishC. To return the 200 pounds he receivedD. To reverse his second wish What is the theme of the missing cat story The ratio of winners to losers was 7 to 5. If the total number of winners and losers was 1260, how many more winners were there than losers? what is the measurement of SRTA: 101 degrees B: 79 degrees C: 99 degrees D: 69 degrees Para volar por los cielos Iquique es el mejor lugar del mundo para volar en parapente. Una perfecta pista para despegar, una hermosa ciudad para mirar desde el cielo y una increble playa para aterrizar. Cada fin de semana, mientras el fin de semana acompae, un grupo de cien parapentistas se rene desde muy temprano en la maana para saludar a la ciudad. En unos cuantos minutos sacan desde sus mochilas las velas con las que se desplazarn movidos por el viento. Surveys, observational studies, and experiments are examples of Which of the following are mutually exclusive events?A. An athlete being 5 feet tall and 6 feet tallB. A student belonging to the chess club and the math clubC. A person having brown eyes and brown hairD. A teacher teaching English composition and English literature