The blades of a windmill turn on an axis that is 30 feet from the ground. the blades are 10 feet long and complete 2 rotations every minute. write a sine model, y = asin(bt) k, for the height (in feet) of the end of one blade as a function of time t (in seconds). assume the blade is pointing to the right when t = 0 and that the windmill turns counterclockwise at a constant rate. y = 30 sine (startfraction pi over 15 endfraction t) 10 y = 30 sine (startfraction pi over 15 endfraction t) 30 y = 10 sine (startfraction pi over 15 endfraction t) 10 y = 10 sine (startfraction pi over 15 endfraction t) 30

Answers

Answer 1

The sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.

What is sine function with time?

The period of a sine function is equal to the 2π and it repeats after each 2π units.

The  sine model can be given as,

[tex]y = a\sin(bt) +k[/tex]

The blades are 10 feet long and complete 2 rotations every minute. Thus the period is,

[tex]b=\dfrac{2\pi}{60}\times2\\b=\dfrac{\pi}{15}\\[/tex]

The blades of a windmill turn on an axis that is 30 feet from the ground. Thus,

[tex]k=30[/tex]

The blades are 10 feet long. Thus,

[tex]a=10[/tex]

Put these values in the above formula as,

[tex]y = 30\sin(\dfrac{\pi}{15}t) +30[/tex]

Thus, the sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.

Learn more about the sine function with time here;

https://brainly.com/question/1542636

Answer 2

Answer:

B

Step-by-step explanation:


Related Questions

PLS HELP- WILL GIVE BRAINLIEST!!

Answers

Answer:

b = 4 mm

Step-by-step explanation:

[tex]b=\sqrt{5^{2}-3^{2} } =\sqrt{25-9}=\sqrt{16} =4[/tex]

Hope this helps

Answer:

The missing leg measures b = 4 millimeters in length.

Step-by-step explanation:

The Pythagorean theorem should be used to find the missing leg measure.

The formula is a2+b2=c2, where a and b are the leg lengths and c is the hypotenuse length. This is known as the Pythagorean theorem.

Let's use the Pythagorean theorem now that a = 3 and c = 5.

a^2 + b^2 = c^2 - This is the Pythagorean theorem equation.

3^2 + b^2 = 5^2 - Fill in the equation with a=3 and c=5.

9 + b^2 = 25

b^2 = 16 - Take 9 off both sides or subtract.

square root of b^2 = square root of 16 - Take the square root of both sides of the equation.

b = 4 - Simplify

The missing leg measures b = 4 millimeters in length.

I don't understand this

Answers

Answer:

Step-by-step explanation:

HELP ASAP! WILL MARK BRAINLIEST
Identify each number as rational or irrational by circling the word that describes it:

Rational or Irrational:
Rational or Irrational: 0.46
Rational or Irrational: √100
Rational or Irrational: -16
Rational or Irrational: √21
Rational or Irrational: 10

Answers

Question 1
Answer
0.46 : rational(/ ); irrational(x);
Solving Steps

Question 2
Answer
1100 : rational(/): irrational(x);
Solving Steps
Categorize the number :

Question 3
Answer
-16 : rational(V); irrational(x);
Solving Steps
Categorize the number:
-16 : rational(/); irrational(x);


Question 4

Answer
V21: rational (×); irrational(r);
Solving Steps
Categorize the number
V21 : rational(×): irrational():

23, 92, 368, ..
Find the 6th term.

Answers

Answer:

6th term = 23,552

Step-by-step explanation:

Mutilyby 4 from left to right

368/92 =4---------------   92x4= 368

92/23=4--------------- 23x4 =92

1) 23

2) 23x4=    92

3) 92x4=386

4) 386x4=1,472

 ------and so on                          

Hello everyone ! I need helps from you ! So , in class we do a control and I get 16 / 20. So I wants a pencentage ! Thanks vers much.

Answers

Hey there, 16/20 would be 80%. It is a quite simple fraction that one could use calculator for.

However I hope I was to any help :)

Of the last 20 trains to arrive at Wildgrove Station, 12 were on time. Considering this data, how many of the next 5 trains would you expect to be on time?

Answers

Answer:

Late because 12 were on time so 5 would be late

SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!

Answers

Answer:

okay so i think the length of CD is 16cm

Which of the following is ALWAYS a property of a parallelogram

A. 4 congruent sides

B. opposite sides are parallel

C. 4 angles that measure 90 degrees

D. 4 equal angles

Answers

Answer:

B.  Opposite sides are parallel.

Step-by-step explanation:

This is the definition of a parallelogram.

The other 3 conditions may or may not be true.

Opposites sides are parallel is always a property of a parallelogram.

What is parallelogram?

" Parallelogram is defined as the two dimensional polygon whose opposite sides are always parallel and congruent to each other."

According to the question,

As per the properties of parallelogram we have,

Opposites sides are always parallel to each other.Opposite sides are always congruent to each other.Opposite angles are always congruent to each other.Adjacent angles are supplementary.Diagonals bisect each other.

Hence, Option (B) is the correct answer.

Learn more about parallelogram here

https://brainly.com/question/1563728

#SPJ2

Find the area of the window.

Answers

Answer:

2512

Step-by-step explanation:

Formula=πr^2/2

(3.14×40×40)/2

=2512

solve pls brainliest

Answers

= 29/6 ×4

=29/3 ×2

=58/3

=19(1/3)

what is the volume of the cylinder when the height is 13m and the radius is 10m

Answers

V≈ 4084.07m³ is the answer

help me find the area please

Answers

Answer:

I'm not a hundred percent sure how to answer this one, because you need the height to solve but the other two tick marks would also be twenty because all of the sides are equal to one another.

How do you solve 2. 310x/4y times 8y/5x =

Answers

Answer: 0.924

Step-by-step explanation:

Given

[tex]\frac{2.310x}{4y} *\frac{8y}{5x}[/tex]

Simplify  [tex]\frac{2.310x}{4y}[/tex] to [tex]\frac{0.5775x}{y}[/tex]


[tex]\frac{0.5775x}{y}*\frac{8y}{5x}[/tex]

Cancel y

[tex]0.5775x* \frac{8}{5x}[/tex]

Cancel x

[tex]0.5775* \frac{8}{5}[/tex]

Use the rule, [tex]a*\frac{b}{c} =\frac{ab}{c}[/tex]

[tex]\frac{0.5775*8}{5}[/tex]

Simplify

[tex]\frac{4.62}{5}[/tex]

Simplify

0.924

You roll a number cube 120 times. How many times can you expect the number cube to land on a six?​

Answers

Answer:

10 or 6

Step-by-step explanation:

pls tell me if im wrong

how much would $500 invested at a 4% interest compounded continuosly be worth after 7 years round your answer to the nearest cent

Answers

Answer: F = 661.56

Step-by-step explanation: interest formula: F = Pe^(rt)

F = future value

P = present value = 500

r = interest rate = 0.04

t = years = 7

F = 500e^(0.04 * 7)

solve pls brainliest

Answers

Answer:

w = 2/7

Step-by-step explanation:

You do 8 divided by 4 over 7, which is 2/7.

A hot air balloon travels 18 miles in 3 hours. At this rate, how many miles will it travel in 3/4 of an hour

Answers

Answer:

4.5 miles

Step-by-step explanation

Figure out how far the hot air balloon travelled in 1 hour - 3 hours can be divided by 3 for 1 hour, so do the same for the miles - 18 / 3 = 6

So basically, the hot air balloon travelled 6 miles in 1 hour.

Now, you can work out 3/4 of 6 for 3/4 of 1 hour - 3/4 * 6 = 4.5 miles

:)

Min draws an isosceles triangle.

Which attributes describe his triangle?

Choose each correct answer.


not a polygon

no angles the same measure

three sides

two obtuse angles

at least two sides of the same length

closed figure

Answers

Answer:

three sides

at least two sides of the same length

closed figure

Step-by-step explanation:

1) A triangle is a polygon.

2) Isoceles triangles have 2 equal angles.

3) A triangle has 3 sides

4) An isoceles triangle has 2 acute and 1 obtuse angle

5) An isoceles triangle means to have 2 sides of equal length.

6) A triangle is a closed figure.

I need help with this

Answers

Ok so to find the mode

To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

So the mode is 5

Hope this helps :)

How many solutions does this
equation have?
3s = 8s -5s
A one solution
C no solution
B two solutions
D infinite

Answers

Answer:

D

Step-by-step explanation:

3s = 8s - 5s

8s = 8s

s = 0, 1, 2, 3.......

so infinite solutions

Answer:

D)

Step-by-step explanation:

Given equation:

[tex]3s = 8s - 5s[/tex]

To simplify this equation, we need to isolate the variables on one side of the equation and the constants on the other side of the equation. To do this, we can simplify the R.H.S as like terms can subtract.

⇒ [tex]3s = 8s - 5s[/tex]

⇒ [tex]3s = s(8 - 5)[/tex]

⇒ [tex]3s = s(3) = 3s[/tex]

⇒ [tex]3s= 3s[/tex]

Since both sides of the equation are the same, this system of equations has infinite solutions.

Check:

We can check our answer by substituting the value of "s" into the equation. As a result, you will see that many values of "s" are satisfying the equation. Thus, Option D is correct.

Please help me with this problem

Answers

Answer:

-36

Step-by-step explanation:

6^2+(y-x)

=>                 6^2+[-77 - (-5)]

=>                 6^2+[-77+5]

=>                 6^2+(-72)

=>                 36+(-72)                            [6^2 = 36]

=>                 -36

 

can you mark me brainliest?

Hello-

6² + (y - x) is our equation. And wonder of wonders, our x and y values are given! What a beautiful thing, having both given to us.

x = -5

y = -77

Let's plug our given values into our equation for x and y. Like so-

6² + (y - x) becomes 6² + (-77 - (-5))

In math, we must do whatever operations are contained within parentheses first and foremost. So we must subtract -5 from -77. That, by the way, equals -72.

6² + -72

Now we do our exponents, or powers.

6² = 36

36 + -72

Now we do the easiest part - adding.

32 + -72 = -36

So the answer to this problem (if I've done my algebra correctly) is -36.

Hope this helps.

Frank and Jerry save quarters in a piggy bank. The bank had $28 in it, then Frank put in F quarters and Jerry put in J quarters. Which expression can be used to represent the amount of money in the bank now? A) FJ + 28 B) 0.25FJ + 28 C) 0.50(F + J) + 28 D) 0.25F + 0.25J + 28

Answers

Answer:

D

Step-by-step explanation:

identify which of the following sequences is a geometric sequence. check all that apply. from math nation test yourself

Answers

A geometric sequence is any sequence that has a common ratio and a non-zero initial value

The sequence 2, 6, 18, 54, ..... is a geometric sequence

How to determine the geometric sequence?

A geometric sequence is represented as:

Tn = ar^(n - 1)

Where:

n represents the number of termsa represents the initial valuer represents the common ratioTn represents the current term

Assume that:

a = 2 and r = 3.

The terms of the sequence would be:

T1 = 2 * 3^0 = 2

T2 = 2 * 3^1 = 6

T3 = 2 * 3^2 = 18

T4 = 2 * 3^3 = 54

So, we have:

2, 6, 18, 54, .....

Hence, the sequence 2, 6, 18, 54, ..... is a geometric sequence

Read more about geometric sequence at:

https://brainly.com/question/24643676

Name a number that is a factor of 20 and 18 but a multiple of 2.

Answers

Thats just obvious you literally said it. The only common factors of 20 & 18 is 2 & 2 is a multiple of 2

Consider the figure below.
14
23
22.7
What is the perimeter of the figure?

Answers

Answer:

73.4

Step-by-step explanation:

The lengths of the tangent segments drawn from an external point to a circle are equal.

**Please refer to the attached annotated diagram - each pair of equal lengths is a different color**

Perimeter = (2 x 14) + (2 x 9) + (2 x 13.7)

                = 28 + 18 + 27.4

                = 73.4

What is the equivalent expression of 3(7e+1)=

Answers

Answer:

210 i hope i helped you with this question

answer might seem complicated though it's not if u try, well the answer is..

Solve for a and determine the measure of each angle:

Answers

Answer:

a =13

Step-by-step explanation:

180= (44+16-23)+11a

143=11a

143÷11= 13

(5a-23) + (4a + 44) + (2a + 16) =180
11a + 37 = 180
11a =180-37
11a = 143
a = 143/11
a= 13

Measure of each angle

(5a-23) = 5(13)-23=42°

(4a + 44) = 4(13) + 44=96°

(2a+16) = 2(13) + 16 = 42°

Select all that apply. (30 points)


Which pairs of angles are supplementary?




1 and 6
5 and 7
5 and 8
2 and 3

Answers

Answer:

1 and 6

5 and 7

Step-by-step explanation:

Supplementary angles equal 180degrees. 1 = 60 and 6=120. 60+120=180.

5 = 60 and 7=120. 60+120=180

What is the 30th term of the following arithmetic sequences
17, 21, 25, ...

Answers

Answer:

133

Step-by-step explanation:

an = a1 + f × (n-1)

an= 17+4 x (30-1)

an= 17+4 x 29

an= 17+116

an=133

I NEED HELP PLS (what percentage of 6th graders are boys?)

Answers

Answer:

50%

Step-by-step explanation:

its going up by 10% so its 50% the bar on boys in 6th graders is on 50%

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