1. Write the equation that models the height of the roller coaster. Start by writing the equation of the circle. (Recall that the general form of a circle with the center at the origin is x2 + y2 = r2. (10 points) Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root. (10 points)
Answers
Answer:
a.)x² + y² = 900
b.)y = √900 - x²
Step-by-step explanation:
P.S - The exact equation is as follows :
As given,
The shape of the roller coaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of the roller coaster is 30 feet above the ground.
a.)
Equation of circle be x² + y² = r²
As given , leg of the roller coaster is 30 feet above the ground.
⇒ r = 30
⇒x² + y² = 30²
⇒x² + y² = 900
∴ we get
Equation of height of Roller coaster - x² + y² = 900
b.)
As we have, x² + y² = 900
⇒y² = 900 - x²
⇒y = √900 - x²
The equation that models the height of the roller coaster is [tex]y = \sqrt{900 -x^2[/tex]
The general equation of a circle is:
[tex]x^2 + y^2 = r^2[/tex]
From the complete question, the radius of the circle is 30 units.
This means that:
r = 30
So, we have:
[tex]x^2 + y^2 = 30^2[/tex]
Express 30^2 as 900
[tex]x^2 + y^2 = 900[/tex]
Subtract x^2 from both sides
[tex]y^2 = 900 -x^2[/tex]
Take square roots of both sides
[tex]y = \pm \sqrt{900 -x^2[/tex]
Remove the negative root
This is so because the roller coaster is above the ground, and the height will be positive.
So, we have:
[tex]y = \sqrt{900 -x^2[/tex]
Hence, the required equation is [tex]y = \sqrt{900 -x^2[/tex]
Read more about equations of circle at:
https://brainly.com/question/10244007
Related Questions
This is a question for geometry and its pretty hard.
Answers
Answer:
m EAD = 56
m EDA = 35
x = 4
Step-by-step explanation:
In a parallelogram, the diagonals bisect each other. This means that AE and EC are equal. To find x, simply set 2x + 3 = 11, and solve.
2x + 3 = 11
2x = 8
x = 4
Additionally, since the sides of a parallelogram are parallel, BC + AD are parallel, as are AB + DC. This make ECB + EAD and EBC + EDA opposite interior angles (have same measure). Thus, since we know ECB = 56 and EBC = 35, EAD also = 65 and EAD also = 35
substitute this equation x+3y=18 & -x-4y=-25
Answers
Answer:
{x,y} = {3/7,-43/7}
Step-by-step explanation:
System of Linear Equations entered :
[1] x + 3y = -18
[2] -x + 4y = -25
Graphic Representation of the Equations :
3y + x = -18 4y - x = -25
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = -3y - 18
// Plug this in for variable x in equation [2]
[2] -(-3y-18) + 4y = -25
[2] 7y = -43
// Solve equation [2] for the variable y
[2] 7y = - 43
[2] y = - 43/7
// By now we know this much :
x = -3y-18
y = -43/7
// Use the y value to solve for x
x = -3(-43/7)-18 = 3/7
Solution :
{x,y} = {3/7,-43/7}
HELP MEEEE!!!!!!!!!!!!!!!!!!!! I will give brainliest to whoever answers first.
Answers
Answer:
B = 114
Step-by-step explanation:
and i answered first
An hour before showtime only 105 people have a ride for a concert according to sales 95% of the people have yet to arrive how many tickets were sold for the concert explain
Answers
Given:
An hour before showtime only 105 people have arrived for a concert.
According to sales 95% of the people have yet to arrive.
To find:
The total number of tickets sold.
Solution:
Let x be the total number of tickets sold.
According to sales 95% of the people have yet to arrive.
[tex]100\%-95\%=5\%[/tex]
It means, only 5% people have arrived.
[tex]\dfrac{5}{100}x=105[/tex]
[tex]\dfrac{1}{20}x=105[/tex]
[tex]x=105\times 20[/tex]
[tex]x=2100[/tex]
Therefore, the total 2100 tickets were sold.
Could you help me with this math, I don't know how to do it?
Answers
Answer:
1) a 2) b
Step-by-step explanation:
Answer:
1.)A 2.)B
Step-by-step explanation:
The formula is y=mx+b, so whatever number is in the b spot that is your intercept and where you start and the slope is rise/run so that is how many times you move. Hope this helps:)
Can someone please help me with b c and d?
Answers
Answer:
DO NOT CARE
Step-by-step explanation:
A tepee has a circular floor with a radius of 3 meters. What is the floor's diameter?
Answers
Answer:
6 meters
Step-by-step explanation:
To find diameter if you have radius, multiply the radius by 2. In this case 3 x 2.
Hope it helps!
Step-by-step explanation:
how do i delete this? TwT
Milagro needs to find an expression that represents the shaded area below. Which expression is equivalent to the area of the shaded portion of the rectangle?
Answers
Answer: I don’t know sorry
what happens to a compass when it is near a wire with insulation
Answers
Answer:
Every electric current produces magnetism. ... Since the compass needle is also a magnet, the magnetic field around the wire attracted and repelled the ends of the compass magnet and caused it to move. You have seen that electricity flowing through a wire can cause a magnet to move. This is called the motor effect
Write as an algebraic expression.
1. the sum of m and 8
Answers
Answer: m+8 =
Step-by-step explanation:
HELP ASAP PLS
Without using a calculator order the following numbers from least to greatest
8 √58 7
Answers
Answer:
7, √58, 8
Step-by-step explanation:
7 x 7 = 49
8 X 8 = 64
49, 58, 64
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Mathematics.
Applying the simple squares of 7 and 8.
7*7= 49 and 8*8=64
hence square root 58 is more than 7 but less than 8
hence we get as,
[tex]7 < \sqrt{58 } < 8[/tex]
Express as a trinomial
(3x + 4)(3x – 10)
Answers
2
−18x−40
9x square minus 18x minus 40
Explain how feel about trump being impeached a second time this time for the mobs action
Answers
Please simplify I need the extra credit all answers get brainiest.
Answers
Answer:
3/10a^15b^7c^4
Step-by-step explanation:
sorry its kinna hard to explain
answer all question pls
Answers
Step-by-step explanation:
3. Between √9 and √16 or 3 nd 4
5. D
6. 7cubic inches
7. 8/45
8. 0.5 m
9. 4/25
Which of the following equations represent exponential growth functions? Choose all that apply.
a) f (x)=4^x
b) f (x)=(1/4)^-x
c) f (x)=(2/3)^x
d) f (x)= (2.3)^x
e) f (x)=(.8)^x
Answers
Option:-
a) f(x) = 4^x is applicable
b) f(x) ={ (1/4)^-x = 4^x }is applicable
c.) f(x) = (2/3)^x is not applicable
d.) f(x) = (2.3)^x is applicable
e.) f(x) = (.8)^x is not applicable
Options (a), (b) and (d) are exponential growth functions.
What is Exponential function?An exponential decay is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier which is less than 1.
By the Exponential decay form,
An exponential decay is in the form: y = abˣ
(a) f (x)=4ˣ is applicable as 4>1
(b) f (x)=(1/4)⁻ˣ is applicable as (1/4)-1=4>1
(c) f (x)=(2/3)ˣ is not applicable because 2/3<1
d) f (x)= (2.3)ˣ is applicable as 2.3>1
e) f (x)=(.8)ˣ is not applicable, 0.8<1.
So options (a), (b) and (d) are applicable for exponential growth functions.
To learn more on exponential functions click:
https://brainly.com/question/15352175
#SPJ2
Can someone pleaseeee help and if you’re correct I’ll give u brainlist!
Answers
Answer:
Rotations, Reflections
Step-by-step explanation:
This is going to be our answer because we know that a figure has some kind of rotation.
A rotation is when a shape can be rotated in some way. A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection map every point of a figure to an image across a fixed-line.
So our answer would be Rotations, Reflections!
Hope this helps!
If it is correct please mark as Brainllest!
Have a good Day!
Must show work!
Write each percent as a fraction and as a decimal?
37%
Answers
Answer:
37% = 0.37 = 37/100
Step-by-step explanation:
hope this helps :)
Simply 5 sin theta sec theta
Answers
Answer:
d 5 tan theta
Step-by-step explanation:
5 sin theta x 1/cos theta
5 (sin theta/cos theta)
5 tan theta
What rule is shown by this input/output table and coordinate plane?
A. add 3
B. subtract 3
C. divide by 2
D. multiply by 2
Answers
Answer:
B
Step-by-step explanation:
subtract 3
input and output always input should be your first one.
So, 6-3=3 7-3=4 8-3=5
9-3=6 10-3=7
Hope this helps u:)
Pls mark brainlist
-9.b = 45
b =
What is the answer I need to know the answe
Answers
Answer:
b=-5
Step-by-step explanation:
Divide by -9 to eliminate the -9 on -9b
(Since -9b is the same thing as -9 times b we can use the inverse of multiplication which is division to eliminate the -9 from b but we need to do it on both sides to make it balance)
-9b/-9=45/-9
b=-5
Cooper was out at a restaurant for dinner when the bill came. His dinner came to $18. After adding in a tip, before tax, he paid $20.34. Find the percent tip.
Answers
Answer: Copper paid 13%
Step-by-step explanation:
Answer: 13%
Step-by-step explanation:
$20,34/$18=1.13
1.13x100=113%
113%-100%=13%
What is the coefficient of the second term of the trinomial? (In other words, what is B?)
(3x − 1)^2 = 9x^2 −Bx + 1
In the blank, write what B equals. Use only numbers - no letters or spaces.
Answers
Answer:
b = 6
Step-by-step explanation:
Let's solve for b.
(3x−1)2=9x2−bx+1
Step 1: Flip the equation.
−bx+9x2+1=9x2−6x+1
Step 2: Add -9x^2 to both sides.
−bx+9x2+1+−9x2=9x2−6x+1+−9x2
−bx+1=−6x+1
Step 3: Add -1 to both sides.
−bx+1+−1=−6x+1+−1
−bx=−6x
Step 4: Divide both sides by -x.
b = 6
Hope this helpss!!!
I have a friend Robert who is an expert at taking the difference of consecutive perfect squares. This means that if I give him a number $x$, he immediately computes $$x^2 - (x - 1)^2$$and gives me the result. I decided one day to first give Robert the number $9$, then the number $6$, and finally the number $4$. Robert gave me three numbers in return. What is the sum of these three numbers?
Answers
Answer:
35
Step-by-step explanation:
Please look at the attachment down below.
Hope this helped! :)
The sum of three number is 35.
What is Square?A square number is the result when a number has been multiplied by itself.
For example, 25 is a square number because it's 5 lots of 5, or 5 x 5.
Given:
if the number given is 9
9² - (9 - 1)² = 9² - 8²
= 81-64
= 17.
if the number given is 6.
6² - (6 - 1)² = 6² - 5²
= 36-25
= 11.
if the number given is 4.
4² - (4 - 1)²= 4² - 3²
= 16-9
= 7.
Thus, the sum of three number is
=17 + 11 + 7
= 35
Learn more about square here:
https://brainly.com/question/14198272
#SPJ2
(0,5), (1,6), (2,9), and (3,14) are points on the graph of a function. Which of the following equations represents that function?
O A. g(x)= x2 + 5
O B. g(x)=522 +5
O C. g(x)= 3x2 +5
o D. g(x)= x + 5
Answers
Answer:
Step-by-step explanation:
It's with c or d I am confused with those two
A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective. A store clerk generates random numbers to simulate a random sample of this shipment. The clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through 5,000 represent working MP3 players. The results are given.
948 628 87 4,987 938 468 3,589 298 2,459 2,286
Based on this sample, how many of the MP3 players might the clerk predict would be defective?
The manager would expect
defective players in the shipment.
Answers
Answer:
A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective. A store clerk generates random numbers to simulate a random sample of this shipment. The clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through 5,000 represent working MP3 players. The results are given.
948 628 87 4,987 938 468 3,589 298 2,459 2,286
Based on this sample, how many of the MP3 players might the clerk predict would be defective?
The manager would expect
defective players in the shipment.
Can anyone help me with this??
Answers
Answer:
find the cordinates of each letter or number then find witch is greater or less than when your answering it
Step-by-step explanation:
help me please I don't get it
Answers
So if a house is 22 meters long, a model (like a Lego version) would be how long? The scale they give says 1cm (model length) = 4 meters (real length).
How many measures of 4 meters are in 22?
22/4 = 5 1/2, so the model would be 5.5 or 5 1/2 cm long.
Hope this makes sense.
A test has multiple choice questions worth 2 points and short answer questions worth 3 points. There are 45 points on the test. Write an equation in standard form that represents this situation using the
variables x and y
Help plz
Answers
x represents multiple choice questions
y represents short answer
you can also write it as 3x+2y=45
in this case, x represents short answer questions and y represents multiple choice.
A car rental agency charges $40 per day for the first 7 days, and $35 a day for each day after that. How much would joe be charged if he rented a car for 10 days?
$415
$405
$395
$385
$375
Answers
Answer:
$385
Step-by-step explanation:
7x$40=280
3x$35=105
280+105=385
Answer:
$385
Step-by-step explanation:
If for the first seven days Joe has to pay $40, you would multiply that number by seven to get $280. However, he had the car for 3 extra days so you would multiply the additional cost of $35 per day by 3 to get $105. After that all you have to do is add $280+$105 to get a total of $385.
