40 POINTS QUESTION
PLS HELP

A Ferris wheel with a radius of 19m rotates once every 56 seconds. The top of the
wheel is 42.5m above the ground.

Determine a sine and cosine equation of the function that gives the rider's height
above the ground in metres, as a function of time, in seconds, with the rider starting
at the bottom.​

Answers

Answer 1

Answer:

(First of all its 20 points not 40 but any ways) A ferris wheel has a raidus of 20 m. Passengers get on halfway up on the right side. The direction of rotation is counter clockwise. The bottom of the ferris wheel is 2 m above ground. It rotates every 36 seconds. Determine height above the ground after 15 seconds algebraically. Determine seconds to the nearest tenth when height is 38 m above the ground algebraically.

**

let t=seconds after wheel starts to rotate.

let h=meters above ground after wheel starts to rotate

..

The formula I got: h(t)=20sin(πt/18)+22

This is close to the formula you got, except I left the negative sign out since passengers start to rise after the wheel starts going counter-clockwise.

..

After 15 seconds:

h=20sin(15π/18)+22

=20sin(5π/6)+22

=20*(1/2)+22

=32 m

..

When h=38 m

38=20sin(πt/18)+22

38-22=20sin(πt/18)

20sin(πt/18)=16

sin(πt/18)=16/20=4/5=.8

arcsin(.8)=0.927

πt/18=0.927 (radians)

t=(.927*18)/π≈5.31

..

height above the ground after 15 seconds≈38 m

seconds elapsed when height is 38 m above ground≈5.3 seconds


Related Questions

Help plz..And No links!! I repeat No links!!

Answers

Answer:

I dont know

Step-by-step explanation:

help mee asappp plsssss​

Answers

multiply the area of a circle by 180/360 because you are finding the area of half a circle. if the angle of a full circle is 360, half a circle is 180

Ten cards numbered 1 through 10 are mixed together and then one card is drawn. Find the probability of each event. Write each answer as a fraction, percent, and decimal. P(less than 5) P(greater than 3) P(odd) P(even) P(not a multiple of 4) P(not 5, 6, 7, or 8) P(divisible by 3)

Answers

Answer:

2/5, 0.4, 40%

7/10, 0.7, 70%

1/2, 0.5, 50%

1/2, 0.5, 50%

4/5, 0.8, 80%

3/5, 0.6, 60%

3/10, 0.3 ; 30%

Step-by-step explanation:

Sample space = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10)

P(less Than 5) :

Required = (1, 2, 3, 4) = 4 observations

P(less than 5) = 4 / 10 = 2 / 5 = 0.4 = 40%

Greater than 3) = (4, 5,6,7,8,9,10) = 7 observations

P greater Than 3) = 7/10 = 0.7 = 70%

Odd = (1,3,5,7,9) = 5

P(odd) = 5 / 10 = 1/2 = 0.5 = 50%

(even) = (2,4,6,8,10) = 5

P(even) = 5 / 10 = 1/2 = 0.5 = 50%

Not a multiple of 4 = (1,2, 3,5,6,7,9,10) = 8

P(not A multiple of 4) = 8/10 = 4/5 = 0.8 = 80%

not 5, 6, 7, or 8 = (1,2,2,4,9,10).= 6

P(not 5, 6, 7, or 8) = 6 / 10 = 3/5 = 0.6 = 60%

Divisible by 3 = (3, 6, 9) = 3

P(divisible by 3). = 3/10 = 0.3 = 30%

Can anyone help with this problem??

Answers

Answer:

blue line : y = 3

black horizontal line : y = 0

black vertical line : x = 0

Step-by-step explanation:

it is really simple.

blue line : no matter what value we pick for x, the functional value for y is always 3. and that defines the equation y = 3 + 0*x or simply y = 3.

the same with the black horizontal line. the difference is that y is now always 0. so, y = 0.

please help.. don't get it

Answers

Y=26

Hope this helped

Which is the inverse of the difference of 1/3 - 1/4? A. 0/1
B. 1/12
C. 7/12
D.12/1
Please Help​

Answers

Answer:

12/1

Step-by-step explanation:

Brooklyn bought a plant and planted it in a pot near a window in her house. Let H
represent the height of the plant, in inches, t months since Brooklyn bought the
plant. The table below has select values showing the linear relationship between t and H. Determine the initial height of the plant when it was purchased.

Answers

Answer:

18

Step-by-step explanation:

what i did was was water the plant and give it sun

What is the product of 3x(x2 +
+4)?
O x2 + 3x + 4
3x3 + 4
3x3 + 12x
0 3x² + 12x

Answers

Answer:

The answer is C

Step-by-step explanation:

Add t to 2 then add 4 to the result

Answers

Answer:

1. 2+t= 2t

2. 2t+4= 2t+4

2(t + 2)

Hope his right!

Classify the triangle with side lengths of 5, 6, 7

Answers

Answer:

Scalene triangle

Step-by-step explanation:

The sides of the triangle is ,

5 , 6 , 7

Since the sides are unequal . Hence it is a scalene triangle .

Hence the ∆ is scalene triangle .

Francis earned the following scores on his math quizzes: 86, 84, 90. Jillian earned the following scores on her math quizzes: 84, 90, 86. Who earned a greater total score? Which addition property can you use to find the answer?


It's due in 5 minutes please help ​

Answers

Jillian and Francis both earned the same total score. I used commutative property of addition to find the answer.

Francis: 86, 84, 90 ---> 84,86,90

Jillian: 84, 90,86---> 84,86,90

I hope this helps, have a great day!

can someone help me im literally so confused

Answers

Answer:  65536a^4 b^2

Step-by-step explanation:

A building has three elevators. Each elevator is out of order 10% of the time.
The following set of random numbers represents 20 simulations of the
elevators, with 0 representing a broken elevator and 1,2,3,4,5,6,7,8, and 9
representing a working elevator. In how many of the simulations were all
three elevators working?

Answers

Answer:18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Betsy's high school is putting on a production of a play as a fundraiser for the school's music programs. A local bank has agreed to allow the school to use a line of credit from which they can withdraw money to pay for the play. Then, any deposits they make at the bank will be applied to the negative balance of the credit account.

The play cost $3,200.00 to produce, and they intend to sell tickets for $10 each. After the play, Betsy will take the ticket proceeds and deposit them with the bank. If 1,007 people attend the play's opening night, what will the balance of the bank account be?
A.
- $3,099
B.
$10,070
C.
$13,270
D.
$6,870

Answers

Answer:

10070//B

Step-by-step explanation:hope this helps <3

Some for all values of x by factoring

Answers

Answer:

{-1, 10}

Step-by-step explanation:

Next time please share the entire set of instrutions.

x^2 - 9x - 15 = -5 should be rewritten in standard quadratic form:

x^2 - 9x - 10 = 0 = (x - 10)(x + 1) = 0.

Setting each factor equal to zero and then solving for x yields {-1, 10}

Answer:

{-1,10}

Step-by-step explanation:

[tex]x^2-9x-15=-5[/tex]   given

[tex]x^2-9x-10=0[/tex]   addition property of equality

[tex]x^2+(x-10x)-10=x^2+x-10x-10=0[/tex]   x-10x = -9x

[tex]x(x+1)-10(x+1)=0[/tex]   distributive property ( x( y + z ) = xy + xz

[tex](x-10)(x+1)=0[/tex]   distributive property (backwards)

[tex]x-10=0;x=10;x+1=0;x=-1[/tex]   at least one factor of 0 has to be 0

{-1,10}

Help me find the answer

Answers

I believe the answer is 45

I need help I don’t understand how I’m supposed to do this

Answers

1. The two figures are not congruent because they are not the same shape size,or length.

2.The two figures are congruent because they are the same shape,size, and length. The transformation used is reflections because they are both the same shape just flipped.


I hope I’m right and that helped

What is the surface area

Answers

Answer:

        1190 mm²

Step-by-step explanation:

The surface area of a prism is a sum of areas of all of its faces

2×(¹/₂×16×15) + 2×(17×19) + 16×19 =

= 240 + 646 + 304 = 1190 mm²

how much simple interest is accumulated if you deposit $100 in the bank at 5% interest for 15 years

Answers

Answer:

You will make 75 dollars.

Step-by-step explanation:

5% of 100 is 5. Multiply 5 by 15 to get 75.

What is the mode for the following set of data?
5, 7, 9, 11, 13, 13

A. 8
B. 9.7
C. 10
D. 13

Answers

Answer:

Hello!

answer: 13

Step-by-step explanation:

The mode is simply just the number that is shown the most in the data set so as you can see 13 is shown the most so 13 is our mode Hope that helps!

Please I need help asapppp!

Answers

Answer:

-525 it is now 525 below sea level

Step-by-step explanation:

I'm kinda confused the question is weird to me so I don't know if this is right

PLEASEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Angle NBW is 34 so do the math

aria and her two friends met up for dinner. They want to split the cost of dinner evenly between the friends but first had to get the total after adding the tax and tip. Their bill is shown below. The sales tax at this location of Sam’s World is 7.75%. They agreed to leave an 20% tip. The tip is added to the total after the sales tax is added.
The total is 38.96

Estimate the approximate total cost of the bill including tax and tip to the nearest dollar.


A

$50.38


B

$41.98


C

$38.96


D

$8.40

PLEASE HELp

Answers

Answer:

A. 50.38

Step-by-step explanation:

Bill is 38.96. Calculate sales tax: 38.96x.0775=3.02.

38.96 + 3.02=41.98 total before tip

41.98x.20=8.40 tip

41.98 + 8.40=50.38

You have 8 bags of groceries in your car. You can carry 5 bags each trip.
How many trips do you need to get all of the groceries from the car to the
house?

Answers

Answer:

2

Step-by-step explanation:

pls give branliest

EASY MATH PLEASE HELP!! : ) : )

NO LINKS PLEASE

EXPLANATION REQUIRED


A new school is ordering math textbooks. They are 3/4 of an inch thick. How many of these books will fit into a bookshelf that is 2 feet long?

A) 2 books

B) 12 books

C) 26 books

D) 32 books

Answers

Answer:

32 Books

Step-by-step explanation:

You know that the bookshelf is 2 feet long, and you know the book is 3/4 inches thick. To start you have to get a common measurement in this case we will use inches. You already know that 1 foot is 12 inches so 2 feet will be 24 inches. Next all you do is divide the 24 inches by 3/4 inches. This will give you 32 which is the total amount of books that can fit on the bookshelf.

Landon earns 10% commission on his total sales. What must be his total sales in oder to earn a commission of $ 145?

Answers

Answer: [tex]\$1450[/tex]

Step-by-step explanation:

Given

Landon earns a 10% commission on his total sales

Suppose his total sales is x to get a commission of $145 i.e.

[tex]\Rightarrow x\times 10\%=145\\\Rightarrow 0.1x=145\\\Rightarrow x=\$1450[/tex]

Therefore, the amount of total sales must be $1450

Help out



Sishsbnxbxbxxnxj

Answers

Answer:

y=-6/5x -8

Step-by-step explanation:

slope is the same as gradient(m) so find the c in the equation y=mx+c using the point (-5,-2) which gives u -8 then substitute values of m and c in that very equation

Answer:

[tex]y=-\frac{6}{5}x-8[/tex]

Step-by-step explanation:

Same process as the other two lol

y= -(6/5)x+b

solve for b by plugging in the required coordinates

-2= -(6/5)(-5)+b

-2= 6+b

-8=b

put it all together

You might need: Calculator A scale on a blue print drawing of a house shows that 10 centimeters represents 2 meters. What number of actual meters are represented by 18 centimeters on the blue print?​

Answers

Answer:

3.6 meters

Step-by-step explanation:

18/10 x 2 = 3.6

so, 18 centimeters represents 3.6 meters

Dose anyone know how to solve this?

Answers

Hi there! We are given three functions below:

[tex] \large \boxed{f(x) = \frac{2 + {x}^{2} }{x + 6}} \\ \large \boxed{g(x) = \sqrt{1 + 7x} } \\ \large \boxed{h(x) = | \frac{3}{4} x - 14 | }[/tex]

Next, we are going to substitute the values that replace x-term. Substitute these values in each functions.

We are given below:

f(4)g(2)h(8)

Therefore,

[tex] \large{f(4) = \frac{2 + {4}^{2} }{4 + 6} } \\ \large{g(2) = \sqrt{1 + 7(2)} } \\ \large{h(8) = | \frac{3}{4} (8) - 14}| [/tex]

Then evaluate the value.

[tex] \large{f(4) = \frac{2 + 16}{10} } \\ \large{g(2) = \sqrt{1 + 14} } \\ \large{h(8) = | 3(2) - 14}| [/tex]

[tex] \large{f(4) = \frac{18}{10} \longrightarrow \frac{9}{5} } \\ \large{g(2) = \sqrt{15} } \\ \large{h(8) = | 6- 14| \longrightarrow | - 8| = 8 }[/tex]

Answer

f(4) = 9/5g(2) = sqrt(15)h(8) = 8

Given
mZLON is a straight angle.
MZLOM = 4x + 30°
mZMON = 8x + 90°
Find mZMON:
Help pls

Answers

Step-by-step explanation:

these are supplementary angles

LOM + MON = 180

(4x + 30) + 8x + 90 = 180

12x + 120 = 180

solve for x and then substitute into 8x +90

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