The height of a seat on a Ferris wheel can be modeled as H (t) = 48 sin (pi/30 t+ 3pi/2) + 53, where tis time in seconds and H(t) is height in feet How far off the ground is a seat when it is at the top of the Ferris wheel?​

The Height Of A Seat On A Ferris Wheel Can Be Modeled As H (t) = 48 Sin (pi/30 T+ 3pi/2) + 53, Where

Answers

Answer 1

Answer:

101ft

Step-by-step explanation:

the answer is in the above image

The Height Of A Seat On A Ferris Wheel Can Be Modeled As H (t) = 48 Sin (pi/30 T+ 3pi/2) + 53, Where

Related Questions

How do I solve this?

Answers

Answer:

Step-by-step explanation:

First, let's find the area of the triangle. The Area of a triangle can be modeled as

b x h x 1/2; base = 6 and the height equals 8. 6x8=48 then don't forget to divide by 2. 48/2= 24

To find the area of a half-circle, you first need to find the area of the whole circle. Whole circle area equation = r^2 times pi. The diameter is 8 and the radius is 1/2 times the diameter, therefore the radius = 4. 4^2= 16

16pi= approximately 50.24

50.24/2= 25.12

25.12 + 16 = 41.12

The area of the figure is approximately 41.12 ft^2

Hope this helps and please mark me brainliest, it really helps!

:)

Answer:

49.12 ft²

Step-by-step explanation:

The compound figure includes both a right angled triangle and a semi-circle. To find the area of the figure, it is best to find the area of both shapes then add them.

Area of semi-circle = (πr²) ÷ 2

= (3.14 × 4 × 4) ÷ 2

= 50.24 ÷ 2

= 25.12 ft²

Area of triangle = [tex]\frac{1}{2}[/tex]bh

= [tex]\frac{1}{2}[/tex] × 6 × 8

= 24 ft²

Area of compound figure = Area of semi-circle + Area of triangle

= 25.12 + 24

= 49.12 ft²

Simplify (sin^2 0+cos^2 0) (sin 0+cos 0)
Can someone help? I don’t understand.

Answers

Answer:

C) [tex]sin\theta+cos\theta[/tex]

Step-by-step explanation:

[tex](sin^2\theta+cos^2\theta)(sin\theta+cos\theta)[/tex]

[tex]sin\theta+cos\theta[/tex]

Recall the Pythagorean Trigonometric Identity where [tex]sin^2\theta+cos^2\theta=1[/tex], so [tex]1(sin\theta+cos\theta)=sin\theta+cos\theta[/tex]

Answer:

C

Step-by-step explanation:

To start this problem off, we should know an important trig rule:

[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]

From here, it is simple:

[tex](\sin^2(\theta)+\cos^2(\theta))(\sin(\theta)+\cos(\theta))=\\1(\sin(\theta)+\cos(\theta))=\\\sin(\theta)+\cos(\theta)[/tex]

C

I hope this helps! Let me know if you have any questions :)

Practice D. Factor each trinomial.
1.
x² – 2x- 8
I
2.
y2 – 13y + 42
3.
m2 - 6m - 7


Help me answer those three factor please

Answers

Answer:

So 1) x²-2x-8

= x(x-2-8/x)

2) y²-13y+42

= y(y-13+42/y)

3) m²-6m-7

= m(m-6-7/m)

Hope it helps

simplify  ( √ 5 ) ( 3 √ 5 )

Answers

Answer:

( √ 5 ) ( √ 5 ) 3

5*3

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

( √ 5 ) x ( 3 √ 5 )

=> 3  ( √ 5 x √5)

=> 3 x ( √25)

=> 3 x 5

=> 15

Linda makes chocolate truffles . The recipe for 20 dark chocolate truffles is 1 cup cream 2 cups dark chocolate Complete the recipe for 40 dark truffles

Answers

Answer:

2 cups of Ice cream and 4 cups of dark choclate

Step-by-step explanation:

If 20 needs 1 cup cream 2 cups dark chocolate you want to find 40 you need to double all ingrediants so answer is 2 cups of Ice cream and 4 cups of dark choclate

Solve the following:
4x-3=2x+7
Thanks :)

Answers

Answer:

6x+10 i think is right(sorry if its not)

Answer:

5

Step-by-step explanation:

4x-3=2x+7

-2x -2x

2x-3=7

+3 +3

2x=10

2x/2x = x

10/2=5

x=5

What is the slope of the function?

Answers

Answer:

Write function:

y = 3x+4

The slope is what we time x by, 3!

Sam works as a baggage carrier at an airport facility. He owes a certain amount of money, in dollars, to his friend Daniel. The function y = 12x − 40 represents the amount of money that Sam has after paying Daniel back in terms of the number of hours he works at the airport.

Answers

Answer:40: the amount in dollars that sam owes Daniel. 12: the amount in dollars that sam earns per hour, y variable: the amount in dollars that sam has after paying back Daniel, x variable: the number of hours Sam works at the airport.

Step-by-step explanation:

Answer:

x variable =  represents the number of hours Sam works at the airport

y variable = represents the amount in dollars that Sam has after paying Daniel 

12 = is the amount in dollars that Sam earns per hour

40 = is the amount in dollars Sam owes Daniel

Step-by-step explanation:

At 4 p.m., the temperature started to change drastically. Each hour, for three hours the temperature decreased by 7°F
Which expression best shows another way to write the product for the temperature change?
07-7-7
(-1)(7+7+7)

Answers

Answer:

07-7-7

Step-by-step explanation:

Can someone help me understand this? Given that triangle ABC =~ triangle DEF, which of the following must be true?

Answers

Answer:

since these triangles are the same these angle must be the same

A=D

B=E

C=F

so the answer is C

Hope This Helps!!!

Gerald bought a computer on the installment plan. The price was $1,560. He paid $82 a month for 24 months
What did Gerald pay in finance charges?
O S310
$408
O $456
$620

Answers

Answer:

Edi wow kasi pogi ako whahahhahahaha

Answer:

B

Step-by-step explanation:

82*24 = 1968

1968 - 1560 = 408

Compare the graph h(x)=1/4x^2 to the graph of f(x) = x2.

Answers

Answer:

h(x) is the image after f(x) is horizontally stretched by a scale factor of 4

Step-by-step explanation:

Given

[tex]h(x) = \frac{1}{4}x^2[/tex]

[tex]f(x) = x^2[/tex]

Required

Compare h(x) to f(x)

We have:

[tex]h(x) = \frac{1}{4}x^2[/tex]

Substitute [tex]f(x) = x^2[/tex]

[tex]h(x) = \frac{1}{4}f(x)[/tex]

This means that f(x) is stretched horizontally by a scale factor of 4 to get h(x)

A school held a tennis tournament.After each round,one-forth of the players were eliminated.If there were 64 players at the start of the tournament,which equation models the number of players left after 6 rounds?​

Answers

Answer:

Option B

Step-by-step explanation:

After each round of the tournament one-fourth players are eliminated.

That means the process of elimination will represent the exponential decay.

Equation of exponential decay is given by the expression,

[tex]y=a(1-r)^n[/tex]

Here, a = Initial number of players

r = Fraction of reduction in the number of players

y = Final number of players

n = Number of rounds

In the given question,

Initial number of the players (a) = 64

Fraction of reduction in the number of players (r) = [tex]\frac{1}{4}[/tex]

                                                                             = 0.25

Number of rounds (n) = 6

By substituting these values in the expression,

[tex]y=64(1-0.25)^6[/tex]

Therefore, Option B is the answer.

1011+1111=in binary answer, anyone that answer me first I will follow u​

Answers

Answer:

Step-by-step explanation:

answer is   [tex](11010)_{2}[/tex]

Jackson decides to distribute buttons to advertise the no-smoking campaign. He plans to make 700 buttons. Large buttons cost 75 cents each and small buttons cost 35 cents each. He has $417 to spend on the buttons.

Answers

tbh it’s 600$ bc lol i the only thing u know ??

Anita burger purchased 14 gallons of gas for $34.72. How much did she pay for each gallon

Answers

Step-by-step explanation:

14 gallons bought for $34.72

1 gallon bought for

[tex] \frac{34.72}{14} [/tex]

=$2.48

* Which expression ((7 ^ 2) ^ 5)/(7 ^ 6) I need help

Answers

Answer:

the answer is D / 7^16...

Find the area of this circle. Use 3 for pi. A = pi r2. radius is 15 ft so answer is [?] ft?​

Answers

Answer:

675 sq feet

Step-by-step explanation:

Radius =15ft

Area = 3(15)^2

= 3(15)(15)

= 3(225)

=675 sq ft

Answer:

675

Step-by-step explanation:

We square r first, so 15 ^ 2 = 225.

Then multiply by pi, which is 3 for this problem. 225 x 3 = 675.

Therefore, the answer is 675.

Hello! Verify the identity. Please show your work! Use trigonometric identities to verify each expression is equal.


Yes this is from edge.

Answers

Answer:

See Below.

Step-by-step explanation:

We want to verify the identity:

[tex]\displaystyle \csc^2 x -2\csc x \cot x +\cot ^2 x = \tan^2\left(\frac{x}{2}\right)[/tex]

Note that the left-hand side is a perfect square trinomial pattern. Namely:

[tex]a^2-2ab+b^2=(a-b)^2[/tex]

If we let a = csc(x) and b = cot(x), we can factor it as such:

[tex]\displaystyle (\csc x - \cot x)^2 = \tan^2\left(\frac{x}{2}\right)[/tex]

Let csc(x) = 1 / sin(x) and cot(x) = cos(x) / sin(x):

[tex]\displaystyle \left(\frac{1}{\sin x}-\frac{\cos x }{\sin x}\right)^2=\tan^2\left(\frac{x}{2}\right)[/tex]

Combine fractions:

[tex]\displaystyle \left(\frac{1-\cos x}{\sin x}\right)^2=\tan^2\left(\frac{x}{2}\right)[/tex]

Square (but do not simplify yet):

[tex]\displaystyle \frac{(1-\cos x)^2}{\sin ^2x}=\tan^2\left(\frac{x}{2}\right)[/tex]

Now, we can make a substitution. Let u = x / 2. So, x = 2u. Substitute:

[tex]\displaystyle \frac{(1-\cos 2u)^2}{\sin ^22u}=\tan^2u[/tex]

Recall that cos(2u) = 1 - sin²(u). Hence:

[tex]\displaystyle \frac{(1-(1-2\sin^2u))^2}{\sin ^2 2u}=\tan^2u[/tex]

Simplify:

[tex]\displaystyle \frac{4\sin^4 u}{\sin ^2 2u}=\tan^2 u[/tex]

Recall that sin(2u) = 2sin(u)cos(u). Hence:

[tex]\displaystyle \frac{4\sin^4 u}{(2\sin u\cos u)^2}=\tan^2 u[/tex]

Square:

[tex]\displaystyle \frac{4\sin^4 u}{4\sin^2 u\cos ^2u}=\tan^2 u[/tex]

Cancel:

[tex]\displaystyle \frac{\sin ^2 u}{\cos ^2 u}=\tan ^2 u[/tex]

Since sin(u) / cos(u) = tan(u):

[tex]\displaystyle \left(\frac{\sin u}{\cos u}\right)^2=\tan^2u=\tan^2u[/tex]

We can substitute u back for x / 2:

[tex]\displaystyle \tan^2\left(\frac{x}{2}\right)= \tan^2\left(\frac{x}{2}\right)[/tex]

Hence proven.

Help please thanks! :)

Answers

Answer:

Option A = 1/15 cubic meters

Step-by-step explanation:

Formule to find volume of rectangular prism:

Volume = width × height × length

V = w×h×l

V = 1/3 × 1/4 × 4/5

V = 1/15 cubic meters

What is the vertex of the graph of y = x2 + 4X?
O (-2, -12)
O (-2,-8)
O(-2,-6)
O (-2,-4)

Answers

Answer:

vertex = (- 2, - 4 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 4x ← is in standard form

with a = 1, b = 4, c = 0 , then

x = - [tex]\frac{4}{2}[/tex] = - 2

Substitute x = - 2 into the equation for corresponding value of y

y = (- 2)² + 4(- 2) = 4 - 8 = - 4

vertex = (- 2, - 4 )

Which of the following functions is graphed below?

Answers

Answer:

there are no functions her pls add them for an answer:)

Step-by-step explanation:

plsss help (on pic)
First will put brainliest

Answers

Answer:

7 over 2x-2

Step-by-step explanation:

Answer:

g^-1 •7

7g^-1

7•1/g

answer is 7/g

I hoped I helped!! :)

For Triangle PQM, where M is the Right Angle and PQ is the Hypotenuse. You know side PM = 8, side PQ = 17, Side MQ = 15. Find Angle P.

PLEASEEEEEE HELPPPPPPP​

Answers

Answer:

61.9°

Step-by-step explanation:

tan p = opposite/ adjacent

tan p = 15/8

[tex]tan^{-1}[/tex] (15/8)

An earthquake with a rating of 7.6 is
known to be a great earthquake that can
cause damage that extends several
hundred kilometers.
Math

Answers

Answer:

39,810,717.06

Step-by-step explanation:

Question:

What is the value of x when the richter scale rating is 7.6? Round your answer to the nearest hundreth.

Mathematically, the rating of an earthquake typically refers to its magnitude on the Richter scale.

The Richter scale is a logarithmic scale that measures the amplitude of seismic waves produced by an earthquake. Each increase of one unit on the Richter scale represents a tenfold increase in the amplitude of the seismic waves and approximately 31.6 times more energy released.

A rating of 7.6 on the Richter scale indicates a significant and powerful earthquake. It is considered a "great" earthquake and can cause widespread damage over an extensive area. The extent of the damage can depend on various factors, including the depth of the earthquake, the distance from populated areas, and the local building infrastructure.

It's important to note that while the magnitude of an earthquake provides a measure of its energy release, it doesn't directly indicate the extent of the damage or the specific geographical area affected. The effects of an earthquake can vary depending on factors such as local geology, distance from the epicenter, and the population density of the area.

Mathematically, the Richter scale provides a standardized way to quantify and compare the magnitude of earthquakes, aiding in the understanding and analysis of seismic events.

To know more about Richter scale. here

https://brainly.com/question/24037139

#SPJ2

HELPPPPPPP 20 c rule

Answers

Answer:

It's answer is 2....

...

Answer:

3x + 4/2 + 5 ( x - 3 ) = 3/1

or, 3x + 4/2 + 5 x - 15 = 3/1

or, 3x + 5x - 15 = 3/1 -4/2

or, 8x - 15 = 6-2/2

or, 8x -15 = 4/2

or, 8x = 2 +15

or, x = 17/8

or, x = 2.125

hope it is helpful to you ☺️

What property is used in the second step of solving the inequality below?
Given
5x-991
5x < 100
Multiplication Property
O Identity Property
O Addition Property
Multiplication Property
O Transitive Property

Answers

Answer:

O Addition Property

Step-by-step explanation:

Addition property: adding or subtracting the same number on both sides does not change the inequality.


4.
3.7 cm
4.5 cm
2.2 cm
V=

Answers

Answer:

[tex]V=36.63cm^3[/tex]

Step-by-step explanation:

Volume formula for rectangular prism is [tex]V=lwh[/tex]

Volume = length * width * height

[tex]V=4.5*2.2*3.7[/tex]

[tex]V=36.63[/tex]

Hope this helps

ANSWER 36.33 around there :))

explanation:

Solve for X pls due ASAP

Answers

Answer:

Step-by-step explanation:

take x as reference angle

using sin rule

sin x = opposite / hypotenuse

sin x = 20 / 36

sin x = 0.55

x = [tex]sin^{-1} (0.55)[/tex]

x = 33.36

x = 33.4 degree

What is the value of x to the nearest degree?





22



63



77



68

Answers

Answer:

I need help on this to anyone please

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