Centered 7 meters above the ground, a Ferris wheel of radius 6 meters is rotating with angular speed 24 degrees per second.
a. Assuming that you begin at time t = 0 seconds at the lowest point on the wheel, find a formula that describes the distance h (in meters) from you to the ground after t seconds of riding.
b. At what times are you 10 meters above the ground? Please explain clearly how you got your solution.
Answers
a) The distance above the ground can be modeled using a cosine function.
.. h(t) = 7 -6cos(2πt/15)
b) h(t) = 10
.. 10 = 7 -6cos(2πt/15)
.. (10 -7)/-6 = cos(2πt/15)
.. 2πt/15 = π ±π/3 +2kπ
. t = 7.5*((1 ±1/3) +2k) . . . . . . . . seconds; k = any integer
You are 10 meters above the ground at t=5 seconds and every 15 seconds thereafter, as well as at t=10 seconds and every 15 seconds thereafter.
Related Questions
What law does static electricity illustrate?
A. Ohm's law
B. Law of Conservation of Motion
C. Law of Conservation of Energy
D. Law of Conservation of Charge
Would this be D?
I know its not math...>:P
Answers
Static electricity illustrates or mostly related to the Law of Conservation of Charge. This law states that the charge of matter is constant and it will only change if there is the entrance of new charge or there is a removal of charge. This is the same with static electricity since charge of static electricity is constant.
Nikola buys a bouquet of 8 sunflowers for 18$. What is the cost for 1 sunflower.
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I hope this helped! :-)
For the rational equation, x^2+5x+6/x+3=1 , what is a valid value of x?.
Answers
Answer:
B. -1
Step-by-step explanation:
We have the equation, [tex]\frac{x^{2}+5x+6}{x+3}=1[/tex].
Now, factorizing the polynomial [tex]x^{2}+5x+6[/tex], we get that the factors of the polynomial are (x+3) and (x+2).
So, we get,
[tex]\frac{x^{2}+5x+6}{x+3}=1[/tex]
i.e. [tex]\frac{(x+3)(x+2)}{x+3}=1[/tex]
i.e. x + 2 = 1
i.e. x = -1.
Hence, we get that the value of x is -1.
Select the following series as arithmetic, geometric, or neither. 1 + 2 + 3 + 4 + . . . + 10
Answers
The progression has a common difference of 1. You can tell because it involves a plus sign, which is indicative of an arithmetic progression,
A geometric progression would include multiplying the numbers by a certain amount. For example:
1, 3, 9, 27 ... 243
In this series, you multiply the numbers by three to get your answer.
The following series is an arithmetic series. Because the progressive term has a difference of 1.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
The given equation is;
1 + 2 + 3 + 4 + . . . + 10
The series is arithmetic in nature. The typical difference in the progression is 1. Because it has a plus sign, which indicates an arithmetic progression.
Hence, the following series is an arithmetic series.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ2
can someone check my answers?
simplify the following expression
21(x-4)+2
A.21x=2 my answer
B. 107x
C. 21x-82
D. 27x
solve the following expression 5x-102=13
A. 23 my answer
B. -23
C. -17.8
D. 17.8
solve the following equation 2x-31=3(x+2)
A. 37
B.-37 my answer
C. 5
D. 37/5
find the range of the function f(x)=4x=1 for the domain (-1,0,1,2,3)
A. -5,-3,0,7,11 my answer
find the slope of the graph 9x-3y=15
A: -3
B.3 my answer
C. -1/3
D.1/3
if i got it wrong walk me through it and we will figure it out together:) @Nnesha @jim_thompson5910
Answers
2. 5x-102 = 13; 5x = 115; x = 115/5; x = 23 (A is the correct answer)
3. 2x-31=3(x+2); 2x-31=3x+6; -x=37; x=-37 (B is the correct answer)
4. Correct answer is (-5, -1, 3, 7, 11). When each of the X values is put in the equation for Y, i.e. 4x-1. Thus: 4*(-1)-1=-5; 4*0-1=-1; 4*1-1=3; 4*2-1=7; 4*3-
1=11
5. Slope is 3. y=3x-5
The right triangle ABC shown below is inscribed inside a parabola. Point B is also the maximum point of the parabola (vertex) and point C is the x intercept of the parabola. If the equation of the parabola is given by y = -x2 + 4x + C, find C so that the area of the triangle ABC is equal to 32 square units.
Answers
Jeffrey has 12 friends. He wants to give each friend 3 stickers. Which equation can be used to find how many stickers Jeffrey will need?
Answers
which equation describes the same line as y-3=-1(x+5)?
A. y=-1x+8
B. y=-1x-2
C. y=-1x-1
D. y=-1x-5
Answers
y-3 = -x-5
y = -x-5+3
y = -x-2
B
Which shows the relationship between work input and work output? A. input force × input distance > output force × output distance B. input force × input distance < output force × output distance C. input force × input distance = output force × output distance
Answers
Answer:
The correct answer is A
I got it right on my quiz
A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and bleacher tickets sold for 40 cents each, how many of the bleacher tickets were sold? Answer: bleacher tickets
Answers
Using the first equation.. g = 5716 -bSustituting into the second equation.. 65(5716 -b) +40b = 341690.. -25b + 371540 = 341690 . . . . . collect terms.. -25b = -29850 . . . . . . . . . . . . . . subtract 371540.. b = 1194 . . . . . . . . . . . . . . . . . . . . divide by -25
Yulia estimates college tuition and fees, room and board, books, and other charges total $15,350. She will receive a $1500 scholarship. If she has 4 years to save, how much should Yulia save per month to cover the costs of college (minus the scholarship)? A. $288.54 B. $319.79 C. $3462.50 D. $3837.50
Answers
Now to find how much she will need to save each month, we are going to divide the total cost of her college education by 48 months:
[tex] \frac{13850}{48} =288.54[/tex]
We can conclude that Yulia will have to save $288.54 per month to cover the costs of her college education. Therefore, the correct answer is: A. $288.54
Gretchen's gross annual salary is $57,852 what is the maximum amount of rent she can afford to pay
Answers
To find the amount that you should spend on rent, you simply multiply your total annual salary by the recommend percent. Use the one that you were given.
A common percent is 30%.
So you would do the following problem if you were using 30%.
0.30 x 57852 = $17,355.6.
Rent should be no more than 28% of a person's gross monthly income. Divide the annual salary by 12 and multiply the quotient by 0.28.
Answer is $1350
Using complete sentences, explain the key features of the graph of the sine function.
Answers
What is the value of z in the equation 11 + z = 6?
66
5
−5
1
Answers
Answer:
z = -5
Step-by-step explanation:
To find the value of z in the equation 11 + z = 6
we will simply subtract 11 from both-side of the equation. That is;
11 + z = 6
Subtract 11 from both-side of the equation
11 - 11 + z = 6 - 11
(On the left-hand side of the equation 11 will be subtracted from 11 which gives zero, thereby leaving us with just z while on the right-hand side of the equation 11 will be subtracted from 6 which will give negative 5)
z = -5
what is the measure of AC?
Answers
The inscribed angle measures half of the arc it comprises
∠ABC=mAC/2
so
mAC=2*∠ABC
mAC=2*75°
mAC=150°
the answer is mAC=150°
JL is a diameter of circle K. if tangents to circle K are construvted through points L and J, what relationship would exist between the two tangents? explian
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notice, the left-hand-side of the picture is the tangents segment theorem, both tangents are the same length and the point of tangency, in red, is always a right-angle, however note that they're touching a radius segment, not a diameter one, and the radii lines are slanted some.
notice the right-hand-side of the picture, the points of tangency at J and L are right-angles, and the two tangents at those points, will simply be parallel, and never touch each other.
A recipe calls for 1 1/2 cups of sugar. Alexis only has measuring cups that measuring cups that measure 1/4 cup. how many times will alexis have to fill the measuring cup?
Answers
1 1/2 = 3/2
Change 3/2 to quarters
3/2 = 6/4
1 measure cups = 1/4 cup
To get 6/4 cups
6/4 ÷ 1/4 = 6/4 x 4/1 = 6
He needs to fill in 6 times
Choose the graph of 3x + y = –2.
Answers
[tex] \left[\begin{array}{ccc}\boxed{\boxed{Slope: \ -3 ; \ Y-intersect: \ -2} }\end{array}\right] [/tex]
Your correct answer would be the second picture, this fit in with what we considered with the slope and all.
I hope this helps you!
George has 2 times the amount of points that is 4 less than his sister’s. His sister has 16 points. How many points does George have?
What operations are needed to solve this word problem, and in what order should they be used?
addition and subtraction, in that order
addition and multiplication, in that order
subtraction and division, in that order
subtraction and multiplication, in that order
Answers
george has 2 times points of x
however x is 4 points less than sisters points which is 16 points
Then we subtract 4 from 16 = 12
12 is equal to x and george has twice of x
Therefore we first subtract 4 from 16 and then multiply it by 2, thats 12*2 = 24
therefore george has 24 points
the operations are subtraction and multiplication in order
Express 18.48 ( 48 bar) in the form of p/q where p and q are integers and q is not equal to 0.
Answers
100x=1848.48. (1)
x=18.48. (2)
subtract 2 from 1
99x=1830.00
x=1830/99
We have to express [tex] 18.\bar{48} [/tex] in the form of [tex] \frac{p}{q} [/tex] where p and q are integers and q is not equal to zero.
Let x = [tex] 18.\bar{48} [/tex]
Multiplying the given equation by 100, we get
[tex] 100x = 1848.48484848... [/tex]
[tex] 100x = 1830+ 18.48484848... [/tex]
[tex] 100x = 1830+ 18.\bar{48} [/tex]
[tex] 100x = 1830+ x [/tex]
[tex] 99x=1830 [/tex]
[tex] x=\frac{1830}{99} [/tex]
Therefore, [tex] 18.\bar{48} [/tex] is represented as [tex] x=\frac{1830}{99} [/tex] in the form of [tex] \frac{p}{q} [/tex]
5. Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value of each. If a statement’s truth value is false, give a counterexample.
Answers
Converse: If it is a dog, it is a beagle. This is a false statement, since a dog can be any other breed (ex. Pomeranian).
Inverse: If it is not a beagle, it is not a dog. Again a false statement, since if it is a different breed, it is a dog despite not being a beagle. For example, it could be a Pomeranian.
Contrapositive: If it not a dog, it is not a beagle. This is true, since if something is not a dog, it won't be any particular breed of dog either (and it won't be a beagle).
So I need help in geometry
Answers
so
x = 11/cos 24
x = 11 / 0.9
x = 12.2
answer
x = 12.2
A parabola has two x intercepts at (-2 , 0) and (3 , 0) and passes through the point (5 , 10). Find the equation of this parabola.
Answers
What is the greatest common factor of 62 and 82? Use prime factorization solve.
Answers
82=2×41
so the answer is 2
Match each angle measure in degrees with its equivalent measure in radians
Answers
So,
a) 5π/4 in degree measure will be:
[tex] \frac{5 \pi }{4}* \frac{180}{ \pi } = 225[/tex]
So, 5π/4 radian is equal to 225°.
b) 9π/5 in degree measure will be:
[tex] \frac{9 \pi }{5}* \frac{180}{ \pi } = 324 [/tex]
So, 9π/5 radian is equal to 324°.
c) 2π/3 in degree measure will be:
[tex] \frac{2 \pi }{3}* \frac{180}{ \pi } = 120[/tex]
So, 2π/3 radian is equal to 120°.
d) 4π/9 in degree measure will be:
[tex] \frac{4 \pi }{9}* \frac{180}{ \pi } = 80[/tex]
So, 4π/9 radian is equal to 80°.
e) 5π/6 in degree measure will be:
[tex] \frac{5 \pi }{6}* \frac{180}{ \pi } = 150[/tex]
So, 5π/6 radian is equal to 150°.
f) 7π/4 in degree measure will be:
[tex] \frac{7 \pi }{4}* \frac{180}{ \pi } = 315[/tex]
So, 7π/4 radian is equal to 315°.
Answer:
Hm..
Step-by-step explanation:
In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?
112√ in.
211−−√ in.
11−−√ in.
1111−−√ in
What is the exact value of sin 45° ?
Enter your answer, as a simplified fraction, in the box.
$$
What is the area of a regular hexagon with a side length of 4 m?
Enter your answer in the box.
Round only your final answer to the nearest hundredth.
m²
In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?
Enter your answer in the box.
cm
Answers
we know that
cos 45°=√2/2
[he length of the hypotenuse]=11/cos 45-----------> 11/(√2/2)----> (11*2)/√2
=22/√2-------> 11√2 in
the answer Part A) is 11√2 in
Part B) What is the exact value of sin 45° ?
we know that
sin 45°=11/(11√2)-------> 1/√2---------> (1/√2)*(√2/√2)-----> √2/2
the answer part b) is √2/2
Part C)
What is the area of a regular hexagon with a side length of 4 m?
we know that
In case of a regular hexagon each of the six triangles that are formed by connecting its center with all six vertices is an equilateral triangle with a side equaled to 4 m.
The area of this hexagon is six times greater than the area of such a triangle
In an equilateral triangle with a side d
the altitude h can be calculate from the Pythagorean Theorem as
h²=d²−(d/2)²=(3/4)d²
Therefore,
h=d√3/2
Area of such a triangle is
A=d*h/2------------> d²*√3/4
From this the area of the regular hexagon with a side d is
S=6*A----------> d²3√3/2
for d=4 m
S=4²3√3/2------> 24√3 m²------------> 41.57 m²
the answer Part C) is 41.57 m²
Part D) In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?
[he length of the hypotenuse]=5/sin 30--------> 5/(1/2)---------> 10 cm
the answer part D) is 10 cm
Answer:
In a 45°-45°-90° triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?
I took the test and this is the correct answer:
11√ 2 inches
Step-by-step explanation:
The solution to the equation x + 4.5 = 9.2 is x = 4.7.
True or false
Solve the equation. b + 2.9 = 8.7
b = 3
b = -5.8
b = 11.6
b = 5.8
Solve the equation. 2.5 + a = 8.7
a = 6.2
a = .2
a = -6.2
a = 3.48
Answers
The First One Is True Then The Next One Is A.B=3 And The Last One Is D.A=3.48
Hope It Helps And PLEASE MARK ME THE BRAINLYEST
Please help with 1 question thank you!
Answers
HELLO
could anyone PLEASE help me??
Id appreciate it!!!!!
Answers
How to solve it:
Okay. So first off, lets subtract 424 from both sides. 424 - 424 cancels out. 1,000 - 424 is 576. That makes 9x = 576. Now, divide each side by 9 to isolate the c. 9x/9 cancels out. 576/9 is 64. There. x = 64. The team will need to score an average of 64 points in their remaining games in order to reach their goal.
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