1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DENIUS [597]
2 years ago
8

A Ferris wheel is 35 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position

of the Ferris wheel is level with the loading platform. The wheel completes one revolution in 8 minutes. The function, h(t), gives your height in meters above the ground t minutes after the wheel beings to turn. How high are you off the ground after 6 minutes
Mathematics
1 answer:
Umnica [9.8K]2 years ago
8 0

Answer:

height = 20.5068 m    

Step-by-step explanation:

Given the data in the question;

First, lets calculate the amplitude, midline and period of 8minutes

Amplitude = 35 / 2 = 17.5

|A| = 17.5

A = - 17.5  { since the wheel starts at 6 o clock }

midline  C = (35/2) + 3

C = 17.5 + 3

C = 20.5

And period is 8 minutes

⇒ 2π/B = 8

8B = 2π

B = 2π/8 = π/4

So our equation will be in the form of;

y = h(t) = Acos(B×t) + C

∴ h(t) = -17.5cos( π/4×t) + 20.5  

Now, How high are you off the ground after 6 minutes

⇒ height = -17.5cos( π/4 × 6) + 20.5

height = -17.5cos( π/4 × 6) + 20.5    

height = -17.5cos( 4.71238898) + 20.5    

height = -17.5 × cos( 4.712) + 20.5  

height = -17.5 × -0.00038898 + 20.5                  

height = 0.0068 + 20.5  

height = 20.5068 m    

You might be interested in
Who gets this I am not sure what I have to do
natta225 [31]
Area of Parallelogram = base x height
height = 4.5 cm
base = 4.5 cm x 2

height = 4.5 cm
base = 9 cm

9 cm x 4.5 cm = 40.50 cm^2
8 0
3 years ago
Read 2 more answers
Is the following number rational or irrational?<br> 9.0<br> A: rational<br> B: Irrational
Lelu [443]

Answer:

Rational

Explanation:

9 is a Rational Number

5 0
2 years ago
Simplify the expression (12x^2y^-2)^5 (4xy^-3)^-7
riadik2000 [5.3K]
(12x^2y^−2)^5(4xy^-3)^−7 = (248832x^10y^21)/(16384x^7y^10) = (248832x^3y^11)/(16384) = (243x^3y^11)/16
8 0
3 years ago
Solve by using elimination. Express your answer as an Ordered pair (-x +2y=3 3x-2y=7
MAVERICK [17]

Answer:

(5,4)

Step-by-step explanation:

-x+2y=3

3x-2y=7

Add the like terms( 2y and -2y)(-x and 3x)(3 and 7) together. Do this vertically. 2y and -2y cancel eachother out.

  • 2x=10

Divide both sides by 2

  • <u>x=5</u>

To find y, substitute x in for y in one of the equations

  • -5+2y=3

add 5 to both sides

  • 2y=8

Divide both sides by 2

  • <u>y=4</u>

Check:

  • -5+2(4)=3
  • 3=3
4 0
2 years ago
I need help plzzzzz this is really confusing
Anuta_ua [19.1K]

Answer:

B. <u>x</u><u><</u><u> </u>-3

hope it helps.

<h3>stay safe healthy and happy.</h3>
5 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the binomials below is a factor of this trinomial ?<br> 6x^2+30x+36
    5·2 answers
  • Identify the following data set: ... a survey from Gwinnett County Public Schools, required that all of the teachers fill out th
    13·1 answer
  • Which equation has a solution of -2?
    8·1 answer
  • Whats 2.3
    10·1 answer
  • Write as a decimal using long division 6/15 I have no idea how will mark brainest​
    6·1 answer
  • Lucy had 24 beanbags and gave 1/3 of them to her friend Shelley. How many beanbags does Lucy have left?
    11·2 answers
  • Hey guys I really need help on this one!
    12·1 answer
  • Kerry and Tya are sharing a pack of stickers. Each girl gets 11 stickers. Write and solve a
    14·2 answers
  • Ruth can run 157 yards in one minute. Lia can run 162 more yards than Ruth can run in one minute. How many yards can they both r
    11·1 answer
  • The cost of a taxi journey is
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!