Jerry boards a Ferris wheel from the bottom of the wheel (the 6 o'clock position) and the Ferris wheel rotates counterclockwise. The center of the wheel is 30 feet from the ground and the radius if the wheel is 25 feet.

Using a sine function, describe a function g that represents the height above the ground (in feet) in terms of the time since the Ferris wheel began rotating if the Ferris wheel rotates at a speed of 2 radians per second.

O9(0)-25 cos(+)+30

Og(t)- 25 sin(2t - )+30

Og(t)- 25 sin(+)+30

Og(t)- 25 cos (2+)+30

Answers

Answer 1

function g that represents the height above the ground (in feet) in terms of the time since the Ferris wheel began rotating if the Ferris wheel rotates at a speed of 2 radians per second is g(t) = 25cos(2t) feet+30

What is angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

The height g(t) above the center after t minutes is given by

g(t) = 25cos(r(t))

g(t) = 25cos(2t) feet+30

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Related Questions

i need help with 7th grade math please need help ASAP + brainleist

Answers

Answer:

Area = 6647.610055 cm^2

Circumference = 289.02652413 cm

Step-by-step explanation:

Area of Circle: Area = π*r^2

Circumference: C = 2*π*r or π*d


Area = π * 46^2 = 6647.610055

Circumference = 2*π*46 = 289.02652413

Area = 6644.24 cm^2
Circumference = 288.88 cm

Area of a circle is pi * radius squared or pi * r^2


pi = 3.14 (the problem told us this)
radius = 46 cm


plug in the numbers

A = 3.14(46)^2

(square the 46 first)

A = 3.14 * 2116

A = 6644.24 cm ^ 2


Circumference formula is

2pi* r



plug in the numbers

C = 2 * 3.14 * 46

C = 6.28 * 46

C = 288.88 cm

i hope this helps

Help please need quickly like rn

Answers

Answer:

288 m^3

Step-by-step explanation:

V=(1/3)Bh, where B is base, and h is height

The base will use the equation A=(1/2)bh

B = (1/2)12x9

B = 54

the height is given: 16m

substitute into Volume equation:

V=(1/3)54x16

V=288

4. (x + 4)2 + (y – 5)2 = 25

Center:

Radius:

Answers

Answer:

Center = (-4, 5)

Radius = 5

Step-by-step explanation:

Equation of a Circle :

(x - h)² + (y - k)² = r²(h, k) = coordinates of the centerr = radius

Finding the center :

h = -(4) = -4k = 5Center = (-4, 5)

Finding the radius :

r² = 25r = √25radius = 5

Please help! 5th-grade math!

Answers

It is a quadrilateral, parallelogram, and a rhombus

Answer:

quadrilateral, parallelogram, and rhombus.

Step-by-step explanation:

All quadrilaterals have 4 sides, all parallelograms have 2 sets of parallel sides, and a rhombus has diagonals that bisect each other perpendicularly.

Molly gives 3% of her paycheck to a charity. If she makes $350 per week, how much goes to the charity?

Answers

Answer:

$10.50

trust me

answer:

342$

Step-by-step explanation:

Think about it........................ 77 + 33 =100

does the point (3,1) lie on the line y=x-3? (With explanation)

Answers

Answer:

well i lands on y and the explaination would be 3+1=y

Step-by-step explanation:

hope this helps

How much interest will linda pay for a loan of N850 at the rate of 15% in 2years

Answers

Answer:

850 ( 2 multiply by 15 divide by 100)

850 ( 2 multiply 0,15)

850 multiply 0,3

= R255, 00

Can someone explain how to solve this I’m confused

Answers

Answer:

x = 61°

Step-by-step explanation:

(2x + 3)°+ (x - 6)° = 180°

2x + x + 3 - 6 = 180°

3x - 3 = 180°

3x = 180° + 3

3x = 183°

x = 183°/3

x = 61°

Please help me fill out the blanks.

Answers

Answer:

Acute angle : 30*      Obtuse angle : 120*

Step-by-step explanation:

Hope this helps :)

Answer:

acute angle- less than 90 degrees

obtuse angle- 120 degrees

Step-by-step explanation:

The diagram below shows the shape of the pool at Tori's house. Tori wants to out a fence all around the pool

Answers

The expression for the perimeter of the pool is 8x + 20 and the cost of fencing the pool is 27.76x + 69.4

How to complete the missing sides?

There are two missing sides in the figure, and they can be calculated using the subtraction operation.

The equations to calculate the missing sides are:

Missing side 1 = 5x - 2 - (-6 + 4x)

Missing side 2 = 12 - x - (3x - 3)

Evaluate the equations

Side 1 = x + 4

Side 2 = 15 - 4x

Hence, the missing sides are x + 4 and 15 - 4x

The perimeter of the pool

This is the sum of the side lengths of the pool.

So, we have:

Perimeter = 5x - 2 + 12 - x - 6 + 4x + 3x - 3 + x + 4 + 15 - 4x

Collect like terms

Perimeter = 5x - x + 4x + x - 4x + 3x - 2 + 12 - 6  - 3  + 4 + 15

Evaluate

Perimeter = 8x + 20

Hence, the perimeter of the pool is 8x + 20

An equation to solve for x

In (b), we have:

P = 8x + 20

Where P represents the perimeter of the pool

The cost of fencing the pool

The cost of fencing the pool is the product of the perimeter and the unit cost per foot.

So, we have:

C = (8x + 20) * 3.47

Expand

C = 27.76x + 69.4

Hence, the cost of fencing the pool is 27.76x + 69.4

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A box is 9 inches by 11 inches. The donuts have a radius of 1.25 inches. How many donuts can fit in the box?

Answers

Answer:

  14 donuts

Step-by-step explanation:

Packing circles in a rectangular space is always an interesting problem. Sometimes, it works well to put them on a grid. Other times, more circles can be packed in if they are somewhat off-grid. The details depend on the specific dimensions.

The attached shows a way to fit 14 donuts in the box.

_____

Additional comment

Packing them on a square grid allows only 12 donuts to be put in the box.

Is 8,11,14 a right triangle?

Answers

Answer:

NO

Step-by-step explanation:

For it to be a right triangle, 14 should be 13.6

8, 11, 13.6 is a right triangle

solve the inequality:

0.2(x + 20) – 3 > –7 – 6.2x

Answers

Answer:

[tex]\huge\boxed{\sf x > -1.25}[/tex]

Step-by-step explanation:

Given inequality:

0.2 (x + 20) - 3 > -7 - 6.2x

Distribute

0.2x + 4 - 3 > -7 - 6.2x

0.2x + 1 > -7 - 6.2x

Add 6.2x to both sides

0.2x + 6.2x + 1 > -7

6.4x + 1 > -7

Subtract 1 to both sides

6.4x > -7 - 1

6.4x > -8

Divide 6.4 to both sides

x > -8/6.4

x > -1.25

[tex]\rule[225]{225}{2}[/tex]

Answer:

x > -1.25

Step-by-step explanation:

Using the distributive property: a(b + c) → ab + ac

1. Distribute '0.2'

0.2(x) + 0.2(20) - 3 > -7 - 6.2x

0.2x + 4 - 3 > -7 - 6.2x

0.2x + 1  > -7 - 6.2x

2. Add '6.2x' to both sides

0.2x + 6.2x + 1  > -7 - 6.2x + 6.2x

6.4x + 1 > -7

3. Subtract '1' from both sides

6.4x + 1 - 1 > -7 - 1

6.4x > -8

4. Divide both sides by '6.4' to isolate the variable

6.4x ÷ 6.4 > -8 ÷ 6.4

x > -1.25

Final answer: x > -1.25

Learn more about solving inequalities here:

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Need help fast thanks and god bless

Answers

Answer:

275.

Step-by-step explanation:

The gradient of the graph is 70/2 = 35 and it passes through the origin so we can write its equation as

y = 35x.

The gradient of the function represented by the the table is

(240-180) / (4-3) = 60

Ehen x = 3 y = 180 so when  x = 0 y = 180 - 60 - 60 - 60 = 0 and the equation of this function is

y = 60x.

For the first equation when x = 11, y = 35*11 = 385.

For the second it is 60 * 11 = 660

So our answer is  660 - 385

= 275

What number is b?
b +4= 10

Answers

Answer:

6

Step-by-step explanation:

b+4=10

  -4 .-4

b=6

Answer:

b= 6

Step-by-step explanation:

subtract the answer (10) by the remaining 4, (so 10-4) which equals 6

Help with the linear equations

Answers

Answer:

[tex]y \: intercept = - 1 \frac{1}{2} [/tex]

Step-by-step explanation:

The y intercept form for the equation of a line is

[tex]y = mx + c[/tex]

You should note that c represents the y-intercept of the line (where the line touches the y-axis)

[tex]y = mx + c \\ \\ we \:were\: given \:the \:equation \:y = x - \frac{3}{2} \\ \\ therefore \: the\: value \:of \:c \:is\: - \frac{3}{2} \:or -1 \frac {1}{2}[/tex]

Find an angle α that is coterminal with an angle, in radians, measuring −13π/2, where 0≤α<2π. Give your answer as an exact answer involving π, if necessary.

Answers

Answer:

  α = 3π/2

Step-by-step explanation:

To find the coterminal angle, add multiples of 2π until you have an angle in the desired range. Here, you need to add 8π.

  α = -13π/2 + 8π = (-13 +16)π/2 = 3π/2

The contingency table below shows the results of a random sample of 400 state
that was conducted to see whether their opinions on a bill are
representatives
related to their party affiliation.
Opinion
Party
Approve
Disapprove
Totals
No
Opinion
Republican
84
40
28
152
Democrat
100
48
36
184
Independent
20
32
12
64
Totals:
204
120
76
400
What is the expected frequency for the cell E3,1? Round your answer to the
nearest tenth.
32.6
45.3
28.9
38.3

Answers

Answer:

what is this question man .......


The principal of High School has been asked to judge an art contest with 20 entries. In how
many ways can he assign first, second, third and fourth place

Answers

Answer:

720. just multiply 10 9 and 8 because  first, second, and third, that is means three and that's how many numbers you multiply from 10,so it equals 720.

hope this helps

Step-by-step explanation:

A computer generates 90 integers from 1 to 8 at random. The results are recorded in this table. Outcome 1 2 3 4 5 6 7 8 Number of times outcome occurred 26 8 10 12 8 6 9 11 What is the experimental probability of the computer generating a 3 or a 5? 9% 20% 18% 40%

Answers


its 20% (I took the test I chose 185 but I reviewed it and it said the answer was 20%)

Answer:

20%

Step-by-step explanation: I took the test

DUE BEFORE 11 PM
SOLVE THE TRIANGLE

Answers

The third angle of the triangle will be ∠B = 71°.

What is an angle?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given that:-

Two angles are ∠A = 42° and ∠C=67°

The third angle will be calculated as:-

∠A   + ∠C + ∠B = 180

42  +  67  +  ∠B = 180

∠B = 180 - 42 - 67

∠B =  71°

Therefore the third angle of the triangle will be ∠B = 71°.

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I need help with number 2 please

Answers

Answer:

B

Step-by-step explanation:

2.

what is the middle between 2 numbers (any numbers, really) ?

you add both numbers and divide the result by 2.

the same here :

(-3 + 24) / 2 = 21/2 = 10 1/2

proof :

what is the distance from -3 to 10 1/2 ? it is 10 1/2 from 0 to 10 1/2 plus 3 from -3 to 0 = 10 1/2 + 3 = 13 1/2.

what is the distance from 10 1/2 to 24 ? it is 13 from 11 to 24, and another half from 10 1/2 to 11. so, in total 13 1/2.

both distances are equal, so it is proven for 10 1/2 to be the midpoint.

helppppp find the value of a and b

Answers

Answer:

<a = <b = 60°

Step-by-step explanation:

<a and <b is vertically opposite of each other, thus equal each other. 90 - 30 = <b = <a.

Answer:

a and b are equal so a and b are 60°

URGENT!!! Which function, g or h, is the inverse function for function ƒ?


the function h because the graphs of ƒ and h are symmetrical about the line y = x

the function g because the graphs of ƒ and g are symmetrical about the line y = x

the function g because the graphs of ƒ and g are symmetrical about the x-axis

the function h because the graphs of ƒ and h are symmetrical about the y-axis

Answers

Answer:

The answer is The function h because the graphs of f and h are symmetrical about the line y = x.

Step-by-step explanation:

A function and its inverse function become symmetrical across the line y = x.  

What is the value of x? put your answer as a decimal.​

Answers

Answer:

It should be 58.6 if Im not mistaken. Im so sorry if I'm wrong.

Step-by-step explanation:

A rug had a length of 9 feet and a width of 3 feet what is the perimeter of the rug

Answers

Answer:

24 ft

Step-by-step explanation:

to find the perimeter of rug is you have to add 9+9+3+3= 24

Mike put 210 baseballs into 7 trash bins. He put the same number of baseballs in each bin. He took 2 trash bins of baseballs to the
baseball field. How many baseballs did Mike take?
A. 30
B. 896
C. 90
D. 60

Answers

Answer:

D. 60

Step-by-step explanation:

210 baseballs divided evenly between 7 trash bins = 30 balls per bin

2 trash bins multiplied by 30 balls per bin = 60 balls in two bins

Hope this helps!

Avery had $25.19 in her wallet. If she bought lunch with 7 & dollars from her wallet, how much money did she have in her wallet
after lunch?
A. $18.09
B. $18.19
C. $16.94
D. $17.94

Answers

Answer:

B) $18.19

Step-by-step explanation:

Avery has $25.19 in her wallet, and she spends $7 on lunch. Subtract 7 from the original amount she had to get the new total:

25.19 - 7 = 18.19

B) $18.19 is your answer.

~

[tex] \red{ \sf \: option \: B. \$18.19}.. \: ... \: ...✔[/tex]

GivenAvery had $25.19 in her walletIf she bought lunch with 7 & dollars from her walletTo findhow much money did she have in her wallet after lunch?Solution

Subtract the original amount in her wallet by the amount she spent to find the remaining amount of money.

$25.19-$7.00 =$18.19

Required Answer

$18.19 money did she have in her wallet after lunch

For the graph given, select the statement that best represents the given system of equations.6x + 4y = 2 3x + 2y = 1

A. inconsistent
B. consistent and independent
C. not enough information
D. coincident

Answers

Answer:

D. coincident

Step-by-step explanation:

An coincident system of equations means that it has infinite solutions, because one line is on the other one. This happens when their equation are the same, or their "parent" line is the same.

So, given equations are:

6x + 4y = 2 and 3x + 2y = 1

Observe that if we divide the first by 2, we have

[tex]\frac{6x+4y}{2} =\frac{2}{2}[/tex]

[tex]\frac{6x}{2}+\frac{4y}{2} =1[/tex]

[tex]3x+2y=1[/tex]

As you can see, using the first equation, we found that it has the same "parent" equation than the second equation. In other words, they are basically the same. This means that they represent the same line, so, the system is coincident and they have infinite solutions.

The answer is coincident :)

solve by elimination
(show all your work)
14x = 2y + 16
5x = y + 2

Answers

Answer:

x=3

y=13

Step-by-step explanation:

Multiply the second equation by 2:

2(5x=y+2) = (10x=2y+4)

Subtract one equation from the other:

   14x=2y+16

-   10x=2y+4

=  4x=12

Solve for x:

4x=12

x=3

Solve for y by plugging in x:

5(3)=y+2

15=y+2

13=y

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