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

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]

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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

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

Answers

Answer:

Step-by-step explanation:

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
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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

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]

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?
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Answers

Answer:

The answer to the question provided is 0.444.

Find the missing side or angle.
Round to the nearest tenth.
A=78°
b=2
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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:

negative number that is greater than -10

Answers

-11 I think hope this helps

Reflection over the x axis ;vertical shift down 7 units

Answers

I need a picture to find the answer

help ASAP
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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):
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*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

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Make sure to check the units!!!
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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

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

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.

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:

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x=250×100÷5=5000

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Answers

Answer:

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Step-by-step explanation:

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Answer:

2 21/40

Step-by-step explanation:

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
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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:

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where,

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

n = 1 and

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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.

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Which expression below has the dame
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96
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Is it 6x9 or 9x6? It’s a little off on the question

I’m confused with this one

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x
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Answer:

Step-by-step explanation:

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Answer:

Hope it helped!

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:
2x-10^0
Any non zero expression raised to the power of 0 equals 1.
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Answers

Answer:

point slope form.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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What are supplementary angles?

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

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Answers

Answer:

x=13

Step-by-step explanation:

Answer:

Step-by-step explanation:

using distributive property:

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plz brainliesttt

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Answers

Answer:

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

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

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Answer:

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Step-by-step explanation:

answer:A XHBBUFXZHBFIHIFCXIJFIJVFIIJIJVFIJIJF

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I'm confused about what is this

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