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

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_ divided by 4= _ remaider 5

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Answer:

20 / 4 =5

Step-by-step explanation:

I think

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

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?

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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:

Your answer is 264

Step-by-step explanation:

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

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Answer:

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
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.

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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.

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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Have a nice day

6
x
−
5
y
=
14

Find
x
when
y
=
2

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

answer:A XHBBUFXZHBFIHIFCXIJFIJVFIIJIJVFIJIJF

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I'm confused about what is this

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.

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:

HELP ME WALLAHI PLS

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Answer:

Hope it helped!

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

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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

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Answer: 18

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pure out 8 gallons

Step-by-step explanation:

Im big brain.

Step-by-step explanation:

removing 8 gallons of water from a fish tank

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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

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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:

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]

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:

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