Whitney starts the engine on her small private airplane. The engine drives a propeller with a radius of 6.5 feet and its centerline 10.5 feet above the ground. At idle, the propeller rotates at a constant speed of approximately 850 revolutions per minute. The height of one propeller tip as a function of time is given by h = 10.5 + 6.5 sin(850t), where h is the height in feet and t is the time in minutes. Find h when t = 2 minutes.

a.
4.1 ft
b.
9.4 ft
c.
16.9 ft
d.
11.6 ft

Answers

Answer 1

Answer:

4.1 ft

Step-by-step explanation:

All we need to do is substitute "t" as 2 minutes to determine the height:

h = 10.6 + 6.5 sin(850*2),

Remove full rotations of 360 until the angle is between 0 and 360° :

h = 10.6 + 6.5 sin(1700) = 10.6 + 6.5 sin(260)

Now evaluate sin(260) :

h = 10.6 - 6.40125... = 4.1987496

Your solution should be 4.1 ft (though it actually should be 4.2 ft)


Related Questions

Your teacher is giving a 150 point test. There are a total of 46 3-point questions and 5-point questions. How many of each are on the test

Answers

Answer:

Let x be the number of 3-point questions.

Let y be the number of 5 point questions.

Professor Rosencrantz flips a fair coin twice. Professor Guildenstern flips a fair coin thrice. What is the probability that Professor Rosencrantz obtains more heads than Professor Guildenstern

Answers

Djdkdkjddkdkkddkdkkddjdkdkkdkdkdkdkddkkdkd

write on the blank the operations processes involved in each numbers sentence
[tex]18 + 9 \times 4 - 27 + 9[/tex]

Answers

Answer:

18

Step-by-step explanation:

Given the expression 18+9*4-27+9

Using  PEMDAS method

P is for parenthesis

E is for exponents

M is for multiplication

18+(9*4)-27+9

= 18+36-27+9

​Next is Addition

= (18+36)-(27+9)

= 54-36

Then Subtraction

= 54-36

= 18

Hence the required value is 18

Use the function g () = 5x – 2 to complete the table.
-4
-7
0
23
38
How do I get the answer?

Answers

Answer:

Step-by-step explanation:

You are given the equation g(x)=5x-2. You simply take the values given and put those values into the equation.

g(-4)=5(-4)-2=-20-2=-22

g(-7)=5(-7)-2=-35-2=-37

g(0)=5(0)-2=-2

g(23)=5(23)-2=115-2=113

g(38)=5(38)-2=190-2=188

Suppose there is a simple index of three stocks, stock X, stock Y, and stock Z.
Stock X opens the day with 5000 shares at $4.30 per share. Stock Y opens
the day with 2000 shares at $3.20 per share. Stock Z opens the day with 8000
shares at $4.90 per share. This simple index rises 4.9% over the course of the
day. What is the value of the index at the end of the day? Round your answer
to the nearest hundred.
A. $68,700
B. $67,100
C. $70,400
D. $68,300

Answers

Answer:

C

Step-by-step explanation:

so the first one ends at 4.7107

the second- 3.3568

the third- 5.1401

and multiplying the first by 5000 we get- 23,553.5

for the second we get -6,713.6

for the third we get 41,120

adding them all together we get 71,387.1

and so C is the closest

The  value of the index at the end of the day should be considered as the $70,400.

Calculation of the value of the index:

Since

Stock X opens the day with 5000 shares at $4.30 per share.

Stock Y opens the day with 2000 shares at $3.20 per share.

Stock Z opens the day with 8000 shares at $4.90 per share.

This simple index rises 4.9% over the course of the day.  

So ,

[tex]= (5,000 \times \$3.4) + (2,000 \times \$3.20) + (8,000 \times $4.90) * 1.0.49[/tex]

= $70,400

hence, The  value of the index at the end of the day should be considered as the $70,400.

Learn more about stock here: https://brainly.com/question/24636535

Ram obtains 40% of the marks in a paper of 200 marks. Shyam is ahead of Ram by 25% of Ram' s marks, while Bhuvan is ahead of Shyam by one month of his own marks. How many marks does Bhuvan get?​

Answers

Answer:

First, we start with:

"Ram obtains 40% of the marks in a paper of 200 marks"

In this case, 200 marks represent the 100%

Then how much is the 40%?

we have the relations:

40% = X

100% = 200 marks

Now we can take the quotient of both equations:

(40%/100%) = X/200marks

(40%/100%)*200marks = X = 80 marks

So Ram obtained 80 marks.

Now we have:

"Shyam is ahead of Ram by 25% of Ram's marks"

Now the 100% is the number of marks that Ram has, this is:

100% = 80 marks

And Shyam has 25% more than that, then we have:

125% = X

Same as before, we take the quotient of both equations:

(125%/100%) = X/80 marks

1.25*80 marks = 100 marks.

Shyam has 100 marks.

The last part is (this is not written correctly, it says "one month", it should be "one-ninth")

"while Bhuvan is ahead of Shyam by one-ninth of his own marks."

if his own marks are X, we have the equation

X = 100 + (1/9)*X

X - 1/9*X = 100

X*(8/9) = 100

X = (9/8)*100 = 112.5

So Bhuvan has 112.5 marks

what is 0.01 as a fraction

Answers

1 over 10

Explainedddddd-

Answer:

hey! this is simple! .01 is 1 out of 100.

Step-by-step explanation:

so the answe is, 1/100

32:3
What is 32 divided by 3

Answers

Answer:

11 1\3

Step-by-step explanation:

32÷3=11.33333333333333333333

if your looking for a fraction the answer is

10 wholes and 2/3 as the remainder :) hope this helps .

11 2/8 - 5 1/2 • 1 2/3 + 1 1/4

Answers

Answer:

[tex]3\frac{1}{3} = \frac{10}{3} = 3.333333333[/tex]

Step-by-step explanation:

Hope this helps.

Question A construction worker drops a hammer while building the Grand Canyon skywalk 4,000 ft above the Colorado River. Use h the formulat to find how many seconds it takes for the hammer to reach the river. Round your answer to the 4. nearest tenth of a second. s

Answers

Answer:15.8

Step-by-step explanation:

After 15.81 seconds the hammer reaches the river if the construction worker drops a hammer while building the Grand Canyon skywalk 4,000 ft above the Colorado River.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

A construction worker drops a hammer while building the Grand Canyon skywalk 4,000 ft above the Colorado River.

The equation is:

t = √h/4

Plug h = 4000 ft

t = √4000/4

After solving:

t = 15.81 seconds

Thus, after 15.81 seconds the hammer reaches the river if the construction worker drops a hammer while building the Grand Canyon skywalk 4,000 ft above the Colorado River.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

please help its a differcult math problem that im having a hard time solving

Answers

Answer:

Find ouut what It’s talks about

Step-by-step explanation:

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer: It depends on how many times Tyrell wants to reserve the court. Sorry but there's not enough info to solve rn

Hope this helps! <3

A pharmacist found at the end of the day she had 3/2 as many prescriptions for antibiotics as tranquilizers. She had 35 prescriptions altogether. How many did she have for tranquilizers?

Answers

Answer:

She had 14 prescriptions for tranquilizers.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of prescriptions she had for antibiotics.

y is the number of prescriptions she had for tranquilizers.

A pharmacist found at the end of the day she had 3/2 as many prescriptions for antibiotics as tranquilizers.

This means that:

[tex]\frac{x}{y} = \frac{3}{2}[/tex]

[tex]x = \frac{3y}{2}[/tex]

She had 35 prescriptions altogether.

This means that:

[tex]x + y = 35[/tex]

How many did she have for tranquilizers?

We want to find y. Since [tex]x = \frac{3y}{2}[/tex], we solve the following equation.

[tex]x + y = 35[/tex]

[tex]\frac{3y}{2} + y = 35[/tex]

Multiplying everything by 2

[tex]3y + 2y = 70[/tex]

[tex]5y = 70[/tex]

[tex]y = \frac{70}{5}[/tex]

[tex]y = 14[/tex]

She had 14 prescriptions for tranquilizers.

how to represent with an integer mary moves 3 steps backward as she dances

Answers

Answer:

-3

Step-by-step explanation:

As she moves back, so it will be negative.

Since she moves back 3 steps, it will be -3.

Hope it helps :)

Please mark my answer as the berainliest

Answer:

-3

itwaseasy...............

Please will give brainliest and thanks for the problem

Answers

Answer:

y = -¼x + (-6)

Step-by-step explanation:

I was summoned?

is 3/12 less than or greater than or equal 3/4?​

Answers

Answer:

3/12 is less than 3/4

Step-by-step explanation:

3/12 is the same as 1/4, which is 0.25

3/4 is 0.75

Please help me asap please

Answers

Okay the first one is a line you would write it as LM and choose the option that has arrows on both sides of the line

The second one is a ray. You would write it as KJ and choose the option that has a arrow on one side of the line

The third one is a line segment. You would write it as HG and choose the option that doesn’t have any arrows attached to the line.

when x is divided by 9, the remainder is 7. What is the remainder when x+4 is divided by 9

Answers

Answer:

First i always use khan academy

Step-by-step explanation:

A baker made two cakes of the same size.

Answers

Woah really!? That’s so cool

twice the difference of a number and 8 is equal to three times the sum of the number and 8. find the number

Answers

Answer:

-24

Step-by-step explanation:

2(x-8)=3x+3

2x-16+16=3x+8+16

2x=3x+24

2x-3x=3x+24-3x

-x=24

x=-24

The above answer is incorrect. The correct answer and equation is below:
2(x-8) = 3(x+8)
2x - 16 = 3x + 24
_____ ______
-24 -24
______________
2x - 40 = 3x
_____________
-2x. -2x
____________
-40 = 1x

So x = -40
______________

At the Movie theater, the Hu family spend $22.00 for two adult tickets and three children's tickets. Sheila Clark spent $18.50 for one adult and four child's tickets. How much did each ticket cost?

Answers

Answer:

Your answer.

Adult ticket : 6.5

Child ticket: 3

The leaning Tower of Pisa is 84.32 meters (m) long.
84.32 m
height
not to scale
In the 1900s, engineers restored the building so that angle y changed from 6.5° to
2.8°. To the nearest hundredth of a meter, how much did the restoration change the
height of the leaning Tower of Pisa?

Answers

Answer:

67.32m

Step-by-step explanation:

Use 3.14 for Pi. *Answer choices may be rounded.* 5 points 1. 15 cm 7.5 cm 176.6 706.5 1324.7 5298.8​

Answers

Answer:

C. 1324.7 cm³

Step-by-step explanation:

Volume of cylinder = πr²h

π = 3.14

radius (r) = ½ of 15 = 7.5 cm

Height (h) = 7.5 cm

Plug in the values

Volume = 3.14*7.5²*7.5 = 1324.7 cm³

Can someone please help me with this question

Answers

Answer:

no

Step-by-step explanation:

Michael and his family
brought some logs of
firewood with them on
their camping trip. The
first night, they burned
2 logs in the fire. The
second night, they
burned 3 logs in the
fire.

Answers

What’s the question? I can’t answer if I don’t see the question

Find the simple interest on a P10500 loan at 20% for two years. (show
your process to get two points)
DO
D12
Dan​

Answers

Answer:

P4200

Step-by-step explanation:

SI=PRT/100

P=Principal which is P10500

R=Rate which is 20%

T=Time which is 2 years

So SI= 10500×20×2/100

=P4200

The world's tallest mammal is a giraffe at a height of 19 feet. What is the height of the giraffe in inches?​

Answers

Answer:

228 inches

Step-by-step explanation:

Answer:

228

Step-by-step explanation:

19 x 12=228

Select the correct answer. Which equation is a step in solving the equation |5 − 3x| + 2 = 19?

Answers

Answer:

Step-by-step explanation:

Please help i'll mark as brainliest. Even if you can only answer one its ok. 3. Without graphing how will you know if the graph is a set of parallel lines? Intersecting lines? Lines that coincide? 4. What do graphs indicate about the values of the variables in the system? 5. In what way can your understanding of graphs of systems of linear equations help you in determining the most favorable options in life?

Answers

Answer:

by slope of given eq

for parallel line slope are same

for intersection line slope are different

Parallel and Perpendicular Lines. When you graph two or more linear equations on the coordinate plane, they usually intersect at some point. However, when two lines in a coordinate plane never intersect, they are called parallel lines.

A sheet of standard U.S. typing paper measures 8.50 in by 11 in. What is its area in square centimeters? (Area =L x W)

Answers

Answer:

the area would be 935cm

Step-by-step explanation:

ty for reading :P

603.2246 square centimeters.

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