The shape of this particular section of the rollercoaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of a roller coaster is 30 feet above the ground.

1. Write the equation that models the height of the roller coaster.

a. Start by writing the equation of the circle. (Remember that the general form of a circle with the center at the origin is x^2 + y^2 = r^2

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

2. Graph the model of the roller coaster using the graphing calculator. Either sketch by hand or take a picture and paste the image below.

Answers

Answer 1

Answer:

Step-by-step explanation:

Part A

x^2 + y^2 = 30^2

I don't know if this is right or not. That would mean that the roller coaster has no clearance and at the lowest point, it would scrape the ground (although not enough to dig a hole).

Part B

y^2 = 900 - x^2

y = sqrt(900 - x^2)

Part C

The graph is actually y = - sqrt(900 - x^2)

That's the only model I can come up with

The wording of the question does not allow for the condition that you want. (0,0) is not the center of the graph the way they want it. See the second graph).

Perhaps it means graph15b. I can't really tell.

The Shape Of This Particular Section Of The Rollercoaster Is A Half Of A Circle. Center The Circle At

Related Questions

Whats the value of x
120°
(2x – 10)°

Answers

The answer is 2x-1
Step-by-step explanation:
2x-10^0
Any non zero expression raised to the power of 0 equals 1.
2x-1
So that would be your answer.
Hope that helped.

The formula: y-y1 = m (x-x1) is known as:

Answers

Answer:

point slope form.

Step-by-step explanation:

this is different from slope intercept form. use these when dealing with cartesian graphs using slope and points along x, y

Solve the question below, please

Answers

Answer:

b = 26.62

Step-by-step explanation:

You are given 2 sides and one angle. So the best option is to use cosine law.

[tex]b^{2} = a^2 + c^2 - (2ac)cos[/tex]θ

[tex]b^{2} = 26^2 + 11^2 - (2*26*11)cos30[/tex]

[tex]b^{2} = 708.77[/tex]

[tex]b = 26.62[/tex]

pls help!!!! i will give brainly!!!!
Two quantities are related, as shown in the table:

x y
2 3
4 4
6 5
8 6
Which equation best represents the relationship? (4 points)

y = 1 over 2x + 2
y = 1 over 2x + 1
y = x + 2
y = 2x + 1

Answers

9514 1404 393

Answer:

(a) y = 1/2x + 2

Step-by-step explanation:

The only equation that matches the first table entry is ...

y = 1/2x +2

3 = (1/2)(2) +2 . . . . first table entry

6
x
−
5
y
=
14

Find
x
when
y
=
2

Answers

Answer:

Step-by-step explanation:

_ divided by 4= _ remaider 5

Answers

Answer:

20 / 4 =5

Step-by-step explanation:

I think

answer:A XHBBUFXZHBFIHIFCXIJFIJVFIIJIJVFIJIJF

Answers

I'm confused about what is this

I NEED HELP PLEASE FASTTT 100 COINS

Answers

Answer:surface area is 24

Step-by-step explanation:

Answer:

I think 1.5 i could be wrong is there options?

Step-by-step explanation:

help ASAP
10 POINTS
find surface area and volume

Answers

Cylinder (A):
-Surface area: adding all areas of all faces of the shape.

*10 x 6= 60m^3
*3.14 x 3^2 = 28.274 m^2. Then We times it by 2 since we have 2 circles. Which equals to 56.55m^2

Total surface area: 60 + 56.55 = 116.55m^2

-Volume: 3.14 x r^2 x h, then substitute.

*3.14 x 3^2 x 10 = 282.74m^3

(B):
-surface area:

*7 x 11= 77
*5 x 11 = 55
*11 x 11 = 121
*7 x 5 = 35/2 = 17.5 > then again we times it by 2 cuz we have 2 triangles. Which equals to 35.

Total surface area: 77 + 55 + 121 + 35 = 288 cm^2

-Volume:
*7 x 5 x 11 = 385 cm^3

Make sure to check the units!!!
Hope this helped :)

Henry ran 1 5/8 miles in the morning and 9/10 miles in the afternoon how many miles did he run in all

Answers

Answer:

101/40 miles or 2 21/40

Step-by-step explanation:

You add the two values together.

Answer:

2 21/40

Step-by-step explanation:

Reflection over the x axis ;vertical shift down 7 units

Answers

I need a picture to find the answer

HELP! Whoever gets it right gets brainliest!!

Answers

Answer:

D infitently Many

Step-by-step explanation:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.

Find the sum of the following series. Round to the nearest hundredth if necessary. 4 + 24 + 144 +... + 6718464

Answers

Answer:

Your answer is 264

Step-by-step explanation:

opposite of puring 8 gallons of water into a fish tank

Answers

Answer:

pure out 8 gallons

Step-by-step explanation:

Im big brain.

Step-by-step explanation:

removing 8 gallons of water from a fish tank

9(x-4) -7x=32-2(x+8)

Answers

Answer:

x=13

Step-by-step explanation:

Answer:

Step-by-step explanation:

using distributive property:

9x-36-7x=32-2x-16

2x-36=16-2x

4x=52

x= 13

plz brainliesttt

1. Identify the LCM for 6 and 18. O 36 O 6 O 18 O 108

Answers

Answer: 18

Step-by-step explanation: 6 x 3 = 18, 18 x 1 = 18

Find the missing side or angle.
Round to the nearest tenth.
A=78°
b=2
C=4
a=[ ? )

Answers

Answer:

[tex]a=4.1[/tex]

Step-by-step explanation:

The Law of Cosines is given as:

[tex]a^2=c^2+b^2-2cb\cos A[/tex].

Plugging in given values, we get:

[tex]a^2=4^2+2^2-2\cdot 4 \cdot 2\cos 78^{\circ},\\a^2=16+4-16\cos 78^{\circ},\\a^2\approx \sqrt{16.673},\\a\approx \fbox{$4.1$}[/tex].

Answer:

The answer for Acellus people is a=4.1

Step-by-step explanation:

Ajar of jelly beans contain 7 green, 6 white, 11 purple, 9 red and 12 yellow beans. What is the probability of selecting a purple or red jelly bean?
Round your answer to the nearest thousandth. For example: 0.500 or 0.999

Answers

Answer:

The answer to the question provided is 0.444.

Determine the value of y.
Question 9 options:
A) 45°
B) 27°
C) 24°
D) 135°

Answers

Answer:135

Step-by-step explanation:all you have to do is to multiply 45 2 times and you will get the answer

Since y is 27, the value of angle 5y will be 135°.

What are supplementary angles?

Supplementary angles are those angles that sum up to 180 degrees.

Given 5y and 45° angles are supplimentry angles

Two angles are called supplementary when their measures add up to 180 degrees.

Thus,

5y + 45 = 180

5y = 135

y = 27°

therefore, the value of angle 5y will be 135° since y is 27.

Learn more about Supplementary angles here:

https://brainly.com/question/13045673

#SPJ2

as you see i kinda need help lol

Answers

Answer:

i believe the answer is C

Step-by-step explanation:

so do I lol I can’t finish my math test due by 12

Which expression below has the dame
6
value as 9

9•6
9•9•9•9•9•9
96
6•6•6•6•6•6•6•6•6

Answers

Is it 6x9 or 9x6? It’s a little off on the question

I’m confused with this one

A first year student deposits $250 into a savings account at the Owl Credit Union at Dundalk High School paying an annual interest rate of
2%. If the money remains untouched until graduation, how much money will they have in 4 years? Round your answer to the nearest cent
or dollar and enter the amount in the space below.
Amount in 4 years: S

Answers

Ater 4 years, the first year student will have $270.60 in their savings account using compound interest and the given principal amount.

What distinguishes compound interest from simple interest?

When money is deposited or borrowed, simple interest is calculated on the initial sum, whereas compound interest is computed on the initial sum plus any interest gained. Simple interest simply applies the interest rate once to the starting sum; compound interest applies it numerous times to both the principle and any accrued interest. When interest is paid on interest, compound interest often yields a bigger return on investment over time than simple interest.

The compound interest is given by the formula:

[tex]A = P(1 + r/n)^{(nt)}[/tex]

where,

A is the amount of money after 4 years

P is the initial deposit of $250

r is the annual interest rate of 2% = 0.02.

n = 1 and

t = the number of years = 4.

Substituting the values we have:

[tex]A = 250(1 + 0.02/1)^{(1*4})\\A = 250(1.02)^4\\A = 250(1.0824)\\A = 270.60[/tex]

Hence, after 4 years, the first year student will have $270.60 in their savings account.

Learn more about interest here:

https://brainly.com/question/22621039

#SPJ1

7x-8<4x+7 solve for x

Answers

Answer:

Step-by-step explanation:

one of sam's best customer spend 250.00 each month in sam's shop. She say that is roughly 5% of her monthly income. How much does she make each month.

Answers

Answer:

5,000

Step-by-step explanation:

x× 5 %=250

x=250×100÷5=5000

If a leaky faucet drips one ounce of water per minute approximately how many gallons per day is that

Answers

Answer:

Step-by-step explanation:

1hr=60mins

24hrs in a day

1hr=60oz

60oz x 24hrs =1440 oz

1440oz = 11.25gal

PLEASE MARK BRAILIEST

negative number that is greater than -10

Answers

-11 I think hope this helps

Solve for x: X/11-6≥-20

Answers

Answer:

[tex]\huge\boxed{\sf x \geq -154}[/tex]

Step-by-step explanation:

Given inequality:

[tex]\displaystyle \frac{x}{11} - 6\geq -20[/tex]

Add 6 to both sides

[tex]\displaystyle \frac{x}{11} \geq -20+6\\\\\frac{x}{11} \geq -14[/tex]

Multiply both sides by 11

x ≥ -14 × 11

x ≥ -154

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

Hello !

Answer:

[tex]\Large\boxed{\sf x\ge -154}[/tex]

Step-by-step explanation:

Let's solve the following inequality :

[tex]\sf \frac{x}{11}-6\ge -20[/tex]

Add 6 to both sides :

[tex]\sf \frac{x}{11}-6+6\ge -20+6[/tex]

[tex]\sf \frac{x}{11}\ge -14[/tex]

Multiply both sides by 11 :

[tex]\sf \frac{x}{11}\times 11\ge -14\times 11[/tex]

[tex]\boxed{\sf x\ge -154}[/tex] or [tex]\sf x\in [-154, +\infty)[/tex]

▪ Learn more about inequalities here:

↣https://brainly.com/question/27748939

Have a nice day

HELP ME WALLAHI PLS

Answers

Answer:

Hope it helped!

The Jones family want to enclose the garden with a fence. To the nearest foot (round to the nearest whole number), how much fencing will they need to buy?

Answers

Answer:

hey hun, I think u need to give us more information on the question. Is that the full question ??

-3 radical 2 times radical 3

Answers

Answer:

-6

Step-by-step explanation:

[tex]-3\sqrt{2}*\sqrt{2} = -3*2 = -6\\[/tex]

Other Questions

Please help me again!!!!!!!! 20 POINTS HELP QUICKLYMrs. Carter puts a variety of wrapped chocolate candies into a bag. Thereare 5 silver-wrapped candies, 1 purple-wrapped candy, 2 striped candies,and 4 gold-wrapped candies. If 15 students select one candy at a time outof the bag without looking, and replace the candy after each draw, howmany students would be expected to select a gold-wrapped candy from thebag?A. 4 StudentsB. 5 StudentsC. 15 StudentsD. 60 Students In "The Seventh Man," what is the most important discovery that the seventh man makes when he returns to his hometown? O A. He discovers that K. was a gentle and artistic soul. B. He learns that his father has died of cancer. O C. He sees that the town remains the same as when he was a boy. O D. He realizes that the dark shadow of K's death has left him. what is the square root of 5 divided by 5 square root of 3? Find the measure of each angle.The measure of one interior angle of a parallelogram is 0.25 times the measure of another angle. Which part of the digestive system does earthworm not have? The principal that government can only do what its people give it the authority to do is calledA. Separation of powers.B. Popular sovereignty.C. Limited government.D. Checks and balances. I need help, my teacher didnt teach up this Cell repisration happens in the chloroplasts of plants. True False If Fred drives 50 miles per hour in his car, and this relationship Is graphed, which ordered palr would not be on the graph? (0,0) (4, 200) (2, 100) (5,300) please help ill give you brainliliest them.Definition: If you repeat the words someone else has said or written, youExample: My father said, "That is the best book that I have ever read." This graph shows the solution to which inequality?5(3,2)5(-3,-6)O A. yx-2OB. ysx-2O c. y< x-2OD. y -2 How are electricity and magnetism related?Electricity and magnetism are not related.Moving magnets can make electrical currents.Electricity can create a magnetic field.Protons and electrons are repelled by magnets.NEED HELP NOW Which of the following documents was the basis for the first government of the United States? (5 points)Question 12 options:1) Common Sense2) The Declaration of Independence3) The Articles of Confederation4) The Constitution Rewrite the following equation as a function of x1/16x + 1/320y - 29 = 0 A. F(x) = -9280 + 1/16x B. F(x) = 9280 - 20x C. F(x) = -9280 + 20x D. F(x) = 9280 - 1/16x _____ is important to people because it helps them make sense of the world, answers questions about the meaning of life, and guides their behavior.LanguageEducationReligionCulture Trigonometric identities assignment 4Simplify 5 sin sec A. 5 cot B. 5C. 5 cos D. 5 tan The wise man says, "Time and tide wait for none change the speech An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has length 1/3 in. and width 1/6 in. The actual tiles have length 1/2 ft and width 1/4 ft. What is the ratio of the length of a tile in the model to the length of an actual tile? What is the ratio of the area of a tile in the model to the area of an actual tile? Use pencil and paper. Describe two ways to find each ratio.