The blades of a windmill turn on an axis that is 30 feet from the ground. The blades are 10 feet long and complete two rotations every minute.
Write a sine model, y = asin(bt) + k, for the hight (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.
Options are displayed in the picture
Answers
Answer:
D: y= 10sin([tex]\frac{\pi }{15}t[/tex]) + 30
Step-by-step explanation:
30 feet above the ground is the k value.
10 feet long is how long the blades reach up and down which is also known as the amplitude.
The rest is given in all answers.
Related Questions
identify if each function is a polynomial function. justify your answer.
Answers
Functions which are polynomials are y=[tex]5x^{4} +x^{2} -8[/tex] ,y=[tex]7x^{3}[/tex] and y=[tex]6^{x}[/tex]
Given Functions : 1) y=[tex]-x^{2} +1/1-2x[/tex] 2)y=[tex]5x^{4} +x^{2} -8[/tex]. 3) y=[tex]7x^{3}[/tex]and g(x)=[tex]6^{x}[/tex].
We need to find which functions are polynomials. We know that polynomials is an expression consisting of indeterminates and coefficients that involves only the operations of addition, subtraction, multiplication and non negative integers .
First function is y=[tex]-x^{2} +1/1-2x[/tex]
The above function is not a polynomial because it has not a variable containing power in whole number and it is in fraction form. Two different polynomials can form numerator and denominator in a fraction.
Second function is y=[tex]5x^{4} +x^{2} -8[/tex]
The above function is a polynomial as it has a variable having power and it is not in fraction also.
Third function is y=[tex]7x^{3}[/tex]
The above function is also a polynomial for the same reason.
Fourth function is g(x)=[tex]6^{x}[/tex].
The above function is also a polynomial.
Learn more about polynomial at https://brainly.com/question/2833285
#SPJ10
If function g has the factors (x − 7) and (x 6), what are the zeros of function g?
Answers
One vertex of a triangle is located at (0, 5) on a coordinate grid. After a transformation, the vertex is located at (5, 0).
Which transformations could have taken place? Select two options.
Answers
A. Quarter turn rotation clockwise about the origin
B. Reflection in the line y = x
C. Translation using the vector (5 -5). [5 right and 5 down]
D. Half turn rotation about point (2.5, 2.5)
E. Reduction with scale factor 1/2 with centre at (10, -5)
The last two are not likely but still only require a single transformation
Answer: C & D
Step-by-step explanation: Ro 270, Ro -90
please help me its help.
Answers
The answer will be 81.
Step-by-step explanation:
just multiple by 3
Answer:
81
Step-by-step explanation:
the people told secrion has a sequence of multiplyung by 3 if you continue the sequence you will get to 81
Which statements about the arcs and angles are true? select three options. ∠efd ≅ ∠egd ∠egd ≅ ∠ecd arc e d is-congruent-to arc f d marc e f = 60° marc f d = 120°
Answers
The true statements about the arcs and angles in circle C are:
∠EFD ≅ ∠EGD.Arc ED ≅ arc FD.m arc FD = 120°.How to analyze the arcs and angles?In Geometry, the sum of the measures of the interior angles in a quadrilateral is equal to 360°. Thus, we have:
m∠G + m∠GDC + m∠DCE + m∠GEC = 360°
60 + 90 + m∠DCE + 90 = 360
240 + m∠DCE = 360
m∠DCE = 360 - 240
m∠DCE = 120°.
Since ∠DFE is an inscribed angle that is subtended by arc DE, we have:
m∠DFE = m∠DCE
m∠DFE = 120
m∠DFE = 1/2 × 120
m∠DFE = 60°.
Therefore, ∠EFD ≅ ∠EGD.
From circle C, we can deduce that side ED is subtended by arc ED and side FD is subtended by arc FD (side ED ≅ side FD). Thus, arc ED ≅ arc FD and m arc FD is equal to 120°.
Read more on arcs and angles here: https://brainly.com/question/24043080
#SPJ1
Answer:
A C E
took quiz
The first two terms of an arithmetic sequence are shown below. 1 2 x+2' x+3' ck to task your mistake. Find the third term of this sequence. Give your answer fully factorised. Watch video Answer > The first two terms of an arithmetic sequence are shown below . 1 2 x + 2 ' x + 3 ' ck to task your mistake . Find the third term of this sequence . Give your answer fully factorised . Watch video Answer >
Answers
Answer:
in picture
Step-by-step explanation:
added in the picture
A six-sided die is thrown three times. What is the probability of getting a prime number on all three rolls?
Answers
Answer:
3/216
Step-by-step explanation:
The sample space for this experiment is 6^3 which is 216
there are three prime numbers on die
namely 2 , 3 and 5
so the probability of getting a prime number on all three roles would be
(3/6)^3
Which property allows you to write the expression (3 7i) (8 − 6i) as (8 − 6i) (3 7i)?
Answers
Answer:
Commutative property
what does y=mx+b equal
Answers
Answer:
slope intercept form
Step-by-step explanation:
y=mx+b is slope-intercept form
I hope this helps :)
find the surface area of the pyramid
Answers
Answer:
145
Step-by-step explanation:
mutiply each 6 and 7 twice and add 7x7 from the bottom
PLEASE HELP ASAP!!!!!!
Right △EFG has its right angle at F, EG=8, and FG=2.
What is the value of the trigonometric ratio of an angle of the triangle?
Drag a value to each box to match the trigonometric ratio with its value.
TanE=
SinG=
SecG=
(4,1/4, 4√15/15, √15/15, √15/4)
(PLEASE ANSWER ASAP, ALSO IF YOU KNOW ANY OF THE OTHER ANSWERS TO THE PRE-CALUCLUS-TRIGONOMETRY SEMESTER TEST 6.04 PLEASE HELP!)
Answers
The values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .
What are Trigonometric Ratios ?When a Triangle is a right angled Triangle then the ratios used to determine the sides and the angles of the triangle are called Trigonometric Ratio.
It is given that in triangle EFG , right angled at F ,
EG = 8 , FG = 2
By Pythagoras theorem
The length of EF is
8² = 2² + EF²
EF = √(64-4) = √60 = 2√15
The value of the trigonometric ratios is
sin E = Perpendicular / Hypotenuse
sin E = 2 / 8 = 1/4
sin G = 2√15 / 8 = √15 / 4
sec G = 1 / cos G = Hypotenuse / Base = 8 / 2 = 4
Therefore the values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .
To know more about Trigonometric Ratio
https://brainly.com/question/1201366
#SPJ1
Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12.
(AKS 16) What does the solution to the system of equations represent in the context of the problem? Explain.
Answers
Answer:
See below
Step-by-step explanation:
The solution will show the NUMBER Of adult and the NUMBER of child tickets purchased .
a = adult tickets cost = 15 a
c = children's tickets <=== this is equal to 20 - a
cost for children's tickets equals 10(20 - a)
15 a + 10c = 225 rememeber c = 20 -a <===put that in
15 a + 10 ( 20 -a) = 225 solve for a
15a + 200 - 10 a = 225
5 a = 25
a = 5 tix then c = 20 - a = 15 tix
Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options.
A. -80x + 24.5y - 56
B. -80x + 28y - 56
C. 80x + 28y + 56
D. 4 (-20x + 7y - 14)
E. -4 (-20x + 7y - 14)
Answers
Answer:
B, D
Explanation:
8(-10x+3.5y-7)
= -80x + 28y - 56
4 (-20x + 7y - 14)
= 8(-10x+3.5y-7)
= -80x + 28y - 56
Answer:
B) -80x + 28y - 56
D) 4 (-20x + 7y - 14)
Original Expression:
⇒ 8(-10x+3.5y-7)
⇒ -80x + 28y - 56
Now confirmed that option B is correct when the expression is simplified which makes option A and C not applicable.
For option D:
⇒ 4 (-20x + 7y - 14)
⇒ -80x + 28y - 56
Option E is not correct as:
⇒ -4 (-20x + 7y - 14)
⇒ 80x - 28y + 56
Determine which rotations will map this figure to itself.
Answers
The rotations which will map this figure itself are 60°, 120°, and 180°, and these values are given in option i.e. (a) ii, iii, and iv.
We have,
A figure which is on a straight line i.e 180°.
Now,
Find the rotations which it will make,
When a person or figure rotates completely i.e. to reach to its original position or shape it makes an angle of 360°.
So,
In the same way;
After rotaions of this figure to reach it to its original position it has to make an angle of 360°.
So,
That means,
First this figure will make a rotation of 60°.
Then it will make a rotation of 120°.
Then it will make a rotation of 180°.
i.e.
The sum of these angles = 60° + 120° + 180° = 360°.
So,
We have to choose that option, in which the sum of angles is 360°.
i.e.
Option 1. ii, iii, and iv.
Therefore, the rotations which will map this figure itself are 60°, 120°, and 180° and these values are given in option i.e. (a) ii, iii, and iv.
Learn more about rotation here:
https://brainly.com/question/1571997
#SPJ10
PLS HELP FAST!! WILL GIVE BRAINLEIST!
Examine the intersection of these two lines: In photo
Which of the following pairs of angles are
supplementary? Select all that apply.
1 and 2
1 and 3
1 and 4
2 and 3
2 and 4
3 and 4
Answers
Answer:
1 & 3
1 & 4
2 & 3
2 & 4
Step-by-step explanation:
Any angles that are next to each other on a straight line will add to 180. If they are across from each other (like 1 & 2 or 3 & 4) those are vertical angles. They are equal.
what is the length of EF if DE=17 and DF=13 in DEF
Answers
By the fact that the sum of internal angles in a triangle and the law of the cosines, the possible lengths of the side EF are represented by 16 ≤ EF ≤ 900.
How to determine the possible lengths of a missing side in a triangle
In this question we have a triangle with two known lengths and there many possible solutions for the length of the segment EF. By geometry we know that the sum of the internal angles in a triangle equals 180° and by the law of cosines we have the following expression for the missing length:
EF² = 17² + 13² - 2 · (13) · (17) · cos D
EF² = 458 - 442 · cos D, 0 ≤ θ ≤ 180°
As the cosine is a function bounded between - 1 and 1, then the possible lengths of the side EF are:
16 ≤ EF ≤ 900
To learn more on law of the cosines: https://brainly.com/question/13098194
#SPJ1
10 point to Help with this ?
Answers
All the transformations for which A and B would be congruent are; Translation, Reflection, and Rotation.
What is congruence transformation?
A congruence transformation is defined as a movement of shape such that it can produce a shape that is congruent to the original.
There are three types of congruence transformation;
1. Translation
2. Reflection
3. Rotation
Given;
Shape B is made by applying a single transformation to shape A.
Hence, All the transformations for which A and B would be congruent are; Translation, Reflection, and Rotation.
Learn more about transformations ;
https://brainly.com/question/11352944
#SPJ1
If R = {(x, y): y = x = 2, 4, 6}, find the range of R. , 4 , 6 } , find the range of R.
Answers
Simplify. Rewrite the expression in the form 9^n9
n
9, start superscript, n, end superscript.
(9^{-3})(9^{12})=(9
−3
)(9
12
)
Answers
[tex] {3}^{18n} [/tex]
Answer:
9^10
Step-by-step explanation:
khan
In a rectangle the length of diagonal AC is given by (20x+12)&BDis (14x+24)cm find AC&BD
Answers
Answer:
52cm, based on my understanding of the question.
Step-by-step explanation:
See attached image. Please confirm my understanding of the question.
The speed of light is a constant and approximately equal to 300,000,000 meters per second.
Green lasers emit light at a wavelength of 532 nm. However, the material that is used to make most green lasers does not emit light at 532 nm. Instead, it emits light at a different wavelength, and the laser then uses a “frequency doubler.” This doubles the frequency of the emitted light, and the resultant light is the green 532 nm that we observe.
1 meter is equal to 1,000,000,000 nanometers.
What is the output light frequency of the material used before doubling?
Answers
The output light frequency of the material used before doubling will be 0.056 Hz.
What is the frequency?Frequency is defined as the number of repetitions of a wave occurring waves in 1 second.
Frequency is given by the formula as,
[tex]\rm v = \lambda \times f \\\\\ \rm f = \frac{v}{\lambda} \\\\ \rm f = \frac{3 \times 10^8}{532 \times 10^-9} \\\\ \rm f = 3 \times 10^{12} \\\\ f= 0.056 \ Hz[/tex]
Hence the output light frequency of the material used before doubling will be 0.056 Hz.
To learn more about the frequency refer to:
https://brainly.com/question/14926605
#SPJ1
whats the answer 2 1/3 x 1 2/5
Answers
Answer:
84/5 should be the answer
Step-by-step explanation:
cross multiply
one gym membership charges $10 a month with a sign-up fee of $45. Another gym does not charge patrons a sign-up fee but costs $25 a month. at what month is the total cost of both memberships the same?
Answers
After 3 months memberships will cost the same.
We have,
Cost of Membership of 1st gym = $ 10 per month
And, the Cost of the sign-up fee for 1st gym = $ 45
And,
Cost of Membership of 2nd gym = $ 25 per month
And, the Cost of the sign-up fee of the 2nd gym = $ 0
Now,
Let the number of months = m
So,
According to the question;
45 + 10m = 25m
⇒
25m - 10m = 45
15m = 45
m=3
So, After 3 months memberships will cost the same.
Learn more about memberships here:
https://brainly.com/question/352169
#SPJ10
Evaluate f^3+11g-4hf
3
+11g−4hf, cubed, plus, 11, g, minus, 4, h when f=3f=3f, equals, 3, g=2g=2g, equals, 2 and h=7h=7h, equals, 7.
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The value of f³+11g-4h, when the value of f=3, g=2, and h=7 is 21.
The correct question is:
Evaluate the value of f³+11g-4h, where the value of f is 3, the value of g is 2 and the value of h is 7.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of f³+11g-4h, when the value of f=3, g=2, and h=7 is,
f³+11g-4h
= (3)³ + 11(2) - 4(7)
= 27 + 22 - 28
= 21
Hence, The value of f³+11g-4h, when the value of f=3, g=2, and h=7 is 21.
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ1
Answer:
21
Step-by-step explanation:
The lengths of three sides of a trapezoid are shown below:
Side 1: 11z2 − 4z + 2
Side 2: −2z + 3 + 12z2
Side 3: 3 − 3z + 13z2
The perimeter of the trapezoid is 5z3 + 40z2 + 7z − 15.
Part A: What is the total length of sides 1, 2, and 3, of the trapezoid? (4 points)
Part B: What is the length of the fourth side of the trapezoid? (3 points)
Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (3 points)
Answers
Answer:
Part A = 36z² - 9z + 8
Part B = 5z³ + 4z² + 16z - 23
Part c = Yes.
Step-by-step explanation:
Polynomials : Polynomials are algebraic expressions that consist of variables and coefficients.
Trapezium: A trapezium is a convex quadrilateral with exactly one pair of opposite sides parallel to each other.
Given the length of sides :
Side 1: 11z² - 4z + 2
Side 2: -2z + 3 + 12z²
Side 3: 3 - 3z + 13z²
and The perimeter of the trapezoid is 5z³ + 40z² + 7z - 15.
PART A:
The total length of sides 1, 2, and 3 of the trapezoid is obtained by the sum of the trapezoid :
11z² - 4z + 2 + (-2z + 3 + 12z²) + 3 - 3z + 13z²
11z² - 4z + 2 - 2z + 3 + 12z² + 3 - 3z + 13z²
36z² - 9z + 8
PART B:
The length of the fourth side of the trapezoid is given by the difference between the perimeter of the trapezoid and the sum of length of sides 1, 2, and 3.
5z³ + 40z² + 7z - 15 - 36z² + 9z - 8
5z³ + 4z² + 16z - 23
PART C:
From part A, we can see that the addition of polynomials results in a polynomial.
Likewise, the subtraction of polynomials results in a polynomial.
Therefore, we can say that the polynomials are closed under addition and subtraction.
learn more about polynomials and quadrilaterals at
https://brainly.com/question/15301188
#SPJ10
Part b how do these functions differ from functions you have used in algebra in the past?
Answers
The functions differ from functions that I have used in algebra in the past as the functions can be combined and are more about rotation rather than where they move.
What is a function?It should be noted that a function simply means an equation where the x that is plugged into the equation will yield exactly on e y from the equation.
In this case, the functions differ from functions that I have used in algebra in the past as the functions can be combined and are more about rotation rather than where they move.
Learn more about functions on:
brainly.com/question/25638609
#SPJ1
Can someone look at the screenshot and help me?
Answers
Answer:
[tex]\boxed {A) m < CVB}[/tex]
Step-by-step explanation:
If C is a point inside ∠AVB, then :
⇒ m ∠AVC + m ∠CVB = m ∠AVB
Luis is going to an amusement park. The price of admission into the park is $20, and once he is inside the park, he will have to pay $4 for every ride he rides on. How much money would Luis have to pay in total if he goes on 6 rides? How much would he have to pay if he goes on r rides?
Cost with 6 rides:
Cost with r rides: need answers fast
Answers
Using a linear function, it is found that the costs are given as follows:
With 6 rides: $24.With r rides: C(r) = 20 + 4r.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Considering the price of admission and the price per ride, the y-intercept is of 20 and the slope is of 4, the cost for r rides is given by:
C(r) = 20 + 4r.
Hence, for 6 rides, the cost is given by:
C(6) = 20 + 4 x 6 = $44.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
please place the dot for me(20 points will give brainliest!!!)
Answers
Answer:
2,
Step-by-step explanation:
The vertex is the very highest or very lowest point. X coordinates are listed first, then Y.
What is 12x³-9x² - 4x + 3 in factored form?
²-[
po
kx-
-
Answers
Answer:
(3x^2 - 1) * (4x - 3)
Step-by-step explanation:
Answer:
[tex]( {3x}^{2} - 1)(4x - 3) \\ [/tex]
