Version B
We have worked with Ferris Wheels above
ground, but what if a portion of it went
underground and traveled in a clockwise
direction?
Details;
The Ferris Wheel has a diameter of 80
ft
The Ferris Wheel center is 20 feet
below the ground
The Ferris Wheel rotates in a clockwise
direction
The rider enters on ground level on
the right side of the wheel.
It takes 1 minute for 1 ½ rotations.
Your task:
Sketch a diagram that showcases this
scenario with labels and
measurements.
Determine the angular speed.
Develop an equation for the height of
the rider while on the ride.
Construct a graph (height vs. time).
Make sure both axes are labeled with
all landmark points.
Provide a statement, explaining the
relationship between your graph and
the rider's position on the wheel.
When will they be above ground and
below?
Calculate the rider's total distance
traveled from the moment they get on
at ground level on the right to the
other point on ground level on the left
where they get off.
Answers
An example of how to sketch the Ferris Wheel diagram is given in the image attached.
What is the angular speed about?To solve for the angular speed, you can use the formula of"
Given that the diameter is 80 feet, so we know the radius will be 40 feet.
The Ferris wheel bottom is 20 feet high, so we add the radius we get that the middle of the Ferris wheel is 60 feet high.
Finally, the Ferris wheel completes 1 ½ rotation (2π radians) in 1 minutes. So we say that the Ferris wheel is said to spins at π rad/min.
Angular velocity ( 1 ½ rev/1min)( 1min/60 sec)
C = 2π(60)
C ≈ 377.04 feet
540 revolution (1 ½ rotations) is 60 seconds, the speed is then
s = d/t
s = 377.06 ft / 60 sec
s = 6.28 ft/sec
To plot the graph, the final equation will be h(t) = 40sin(πt + π/2) + 60.
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Related Questions
PLSS HELP ASAP. Which of the follow box-and-whisker plots correctly displays this data set?
24, 32, 25, 27, 37, 29, 30, 30, 28, 31, 27, 23
Answers
The five number summary is
Min = 23Q1 = 26Median = 28.5Q3 = 30.5Max = 37===========================================================
Further Explanation:
The original data set is {24, 32, 25, 27, 37, 29, 30, 30, 28, 31, 27, 23}
It sorts to {23, 24, 25, 27, 27, 28, 29, 30, 30, 31, 32, 37} when going from smallest to largest.
There are n = 12 items in this set. The median is found between slots 6 and 7 because n/2 = 12/2 = 6
Circle the items in slot 6 and slot 7 to highlight 28 and 29 in that order. The midpoint is (28+29)/2 = 57/2 = 28.5 which is the median.
Median = 28.5
---------------
Now break the set up into two pieces
L = {23, 24, 25, 27, 27, 28}
U = {29, 30, 30, 31, 32, 37}
L is the lower set below the median, U is the upper set above the median
The midpoint of L is (25+27)/2 = 26 and the midpoint of set U is (30+31)/2 = 30.5
This gives us Q1 = 26 and Q3 = 30.5 respectively
Q1 = first quartile
Q3 = third quartile
The min and max are simply the smallest and largest items of the set
min = 23
max = 37
------------------
We have this five number summary:
Min = 23Q1 = 26Median = 28.5Q3 = 30.5Max = 37These five items directly determine the positioning of the box and whiskers. No extra info is needed.
The min and max handle the tips of the left and right whiskers if we don't have any outliers. In this case, we don't have outliers so we can ignore this aspect.
The Q1 and Q3 handle the left and right edges of the box
The median (aka Q2) is the vertical line inside the box. It doesn't have to be at the center of the box. It's simply anywhere inside.
With all this in mind, the best match is choice D
The tip of the left whisker is at 23The left edge of the box is at 26The vertical line inside the box is at 28.5The right edge of the box is at 30.5The tip of the right whisker is at 37----------------------------------
In other words, we can eliminate the following
A) Because the right edge of the box for choice A is at 31 when it should be at 30.5B) The tip of the right whisker is at 35 when it should be at 37C) The tip of the left whisker is at 21 when it should be at 23Since A, B, and C are eliminated, the only thing left is choice D which matches all aspects of the five number summary above.
can you help with this please
Answers
Answer:
x = 81
Steps:
It says that y ~ √x
We have points (9, 18) as a guide.
We can write y = f(x) = a√x +b
Use points (9, 18) as a guide
18 = a√9 +b
18 = 3a + b
One solution might be a = 6, which means f(x) = 6√x
Thus when y = 54,
54 = 6√x
9 = √x
81 = x
I know the answer but I would like to know how to solve it
Answers
Step-by-step explanation:
We can use long division to solve this
First place a 5 in the tens place, this means we are multiplying 5 by 50. This will subtract 250 from 280, leaving us with 30.
Next place a 6 in the ones place, this means we are multiplying 5 by 6. This will subtract 30 from 30, leaving us with 0.
This means we have found our answer of 56.
Answer:
See explanation
Step-by-step explanation:
Basically, division is just saying "how many numbers would go into this number this many times?" We can break this problem down into 200/5 and 80/5. 200/5 is 40, and 80/5 is 16. 40+16 is 56, so the answer is 56.
(I can elaborate further if needed)
Hope this helps!
A rectangle has a length represented by the function f(x) and a width represented by g(x).
Which statement describes the combined functions P(x) and A(x)?
O A(x) is linear, but P(x) is not.
OP(x) is linear, but A(x) is not.
O Both P(x) and A(x) are linear.
O Neither P(x) nor A(x) are linear.
Answers
Answer:
the statement that combines the functions is P(x)
Как это решать (отмечено красным)
Answers
Answer:
it’s 3 because chinese had the era.
Step-by-step explanation:
The candle emporium is pouring cylindrical candles. each candle has a radius of 5 inches and a height of 18 inches. which formula represents the correct way to find the volume of a candle? v = (5) (18) v = pi (5) (18) v = pi (18) squared (5) v = pi (5) squared (18)
Answers
Answer:
v = pi (5) squared (18)
Step-by-step explanation:
area of circle is pi * r²
so volume is the area X the length of 18
Answer: IM GONNA SAY D….EEZ N/ NO ITS ACTUALLY D
Step-by-step explanation:
I don’t know how to figure this question out I need help I need the steps to this
Answers
Answer:
19.5625
Step-by-step explanation:
To find the mean, you add all of your values together and divide by the number of values you have.
Here are the values in the dot plot listed:
12, 12, 15, 15, 15, 15, 16, 18, 20, 20, 22, 25, 25, 25, 29, 29
To find the mean:
(12 + 12 + 15 + 15 + 15 + 15 + 16 + 18 + 20 + 20 + 22 + 25 + 25 + 25 + 29 + 29)/16 = 19.5625
hey .what is the truth set of the equality 4x+2>6x+8?
Answers
Answer:
x < - 3
Step-by-step explanation:
4x + 2 > 6x + 8
=> 4x - 6x > 8 - 2
=> -2x > 6
Divide by -2 (Since dividing by -ve, operator sign changes)
=> x < - 3
Answer: x >-3
Step-by-step explanation: 4x + 2 > 6x + 8
4x - 6x = -2x
6x - 6x = 0
-2x + 2 >8
8 -2 = 6
2-2 = 0
-2x > 6
-2x/-2x = 0
6/-2x = -3
therefore x >-3
Nevaeh leans a 22-foot ladder against a wall so that it forms an angle of 64 degrees with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundreth of a foot if necessary
Answers
Answer:
19.77 ft
Step-by-step explanation:
The ladder is the hypotenuse of a right triangle ....one leg is the house , the other leg is the ground.
sin 64 = opposite/hypotenuse = height /22
sin 64 = height / 22
22 * sin 64 = height = 19.77 ft
Terry's Excavation rents bulldozers.
Terry's charges $198.45 per day plus a
$65 delivery and pickup charge. How
much would it cost to rent the bulldozer
for 5 days?
A $1,057.25
B $992.25
C $1,007.50
D $995.20
Answers
$198.45 x 5 days = $992.25
$992.25 + $65 delivery charge = $1057.25
Write the following without the absolute value sign: |a^3|, if a<0
Answers
Answer:
the answer will be the number 8
What is the slope of the line?
Answers
Answer:
The answer is [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Use rise over run, so you go up 1 then go to the right twice giving you the slope
What is the absolute value of the complex number -4-√2i?
A.√14
B.3√2
C.14
D.18
PLEASE HELP
Answers
Answer: Choice B. 3√2
This is the same as writing 3sqrt(2) or [tex]3\sqrt{2}[/tex]
===========================================================
Reason:
For any complex number of the form [tex]z = a+bi[/tex], the absolute value or magnitude of it is [tex]|z| = \sqrt{a^2+b^2}[/tex]
In this case, we have [tex]a = -4 \text{ and } b = -\sqrt{2}[/tex]
So,
[tex]|z| = \sqrt{a^2+b^2}\\\\|z| = \sqrt{(-4)^2+(-\sqrt{2})^2}\\\\|z| = \sqrt{16+2}\\\\|z| = \sqrt{18}\\\\|z| = \sqrt{9*2}\\\\|z| = \sqrt{9}*\sqrt{2}\\\\|z| = 3\sqrt{2}\\\\[/tex]
If we formed a segment with the endpoints [tex](0,0) \text{ and } (-4, -\sqrt{2} )[/tex], then that segment will have length of the value mentioned above.
Side note: This formula or concept is related to the pythagorean theorem.
Logan's solution and reasoning for solving an equation are shown below:
Given
Step 1: x-10-50 Reason 1: Given
Step 2
x-10+10=50+10 Reason 2 Addition Property of Equality
Step 3
60
Reason 3 Simplity
Step 4:
<= 60
Reason 4: Division Property of Equality
Step 5.
x = 40
Reason 5: Simplity
Choose which reason is incorrect.
O Reason 2
O Reason 3
O Reason 4
O Reason 5
Answers
Answer:
Logan's solution and reasoning for solving an equation are shown below:
Given
Step 1: x-10-50 Reason 1: Given
Step 2
x-10+10=50+10 Reason 2 Addition Property of Equality
Step 3
60
Reason 3 Simplity
Step 4:
<= 60
Reason 4: Division Property of Equality
Step 5.
x = 40
Reason 5: Simplity
Choose which reason is incorrect.
O Reason 2
O Reason 3
O Reason 4
Step-by-step explanation:
Please help!!! thank you!
Answers
Answer:
30 again if I’m wrong then it’s 40
Step-by-step explanation:
most of the pizzas that are sold are in the 30’s or below
36% of a students of a class where 50 is the total got above 80 marks for a test.
a) How many students obtain more than 80 marks
b) What is the percentage of students got below 80 marks
Answers
Answer:
Below in bold.
Step-by-step explanation:
a) 36 % of 50
= 50 * 0.36
= 18 students got above 80 marks.
b) 100 - 36
= 64% got below 80.
c)
50 - 18 = 32 students got below 80.
Type the correct answer in the box. burning one gallon of gasoline releases 20 pounds of co2 into the air. harry’s compact car can travel 25 miles on one gallon of gas. if harry drives 15,000 miles in a year, his vehicle will add pounds of co2 to the atmosphere.
Answers
The amount of co2 that Harry's vehicle would release to the atmosphere in a year is 12,000 pounds.
What is the amount of co2 that would be released?The first step is to determine the gallons of gasoline that the car would need in a year: 15,000 / 25 = 600 gallons
The second step is to determine the total emissions when the car uses 600 gallons: 600 x 20 = 12,000 pounds
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Please awnser :))))))))
Answers
Answer:
See figure below.
Step-by-step explanation:
Since the dilation is 1/5 with respect to the origin, divide each x- and y-coordinate by 5 to find the new points. Then plot them. See figure below.
GIVING BRAINLIESTTTTT!!!!!!!!!
Answers
Answer:
a. (-6, -3)
Step-by-step explanation:
A triangle has been dilated with a factor of 3.
New coordinates will be :
(x, y) ⇒ (3x, 3y)Therefore, A' will be :
(3(-2), 3(-1))(-6, -3)aMake sure your answer is in degrees. you should be able to find this without a calculator.
sin-1 -1/2 = ?
Answers
Answer:
Below.
Step-by-step explanation:
sin-1 1/2 = 30 degrees in the first quadrant.
As the sin is negative in Quadrants 3 and 4,
sin01 -1/2
= 210, 330 degrees, in the range 0-360 degrees
Answer: -30°
Step-by-step explanation:
right on acellus
Find the surface area of the triangular prism. Be sure to include the correct unit in your answer.
Answers
Answer:
174 CM²
Step-by-step explanation:
First we split up the triangular prism into shapes we can better understand (2 triangles, and 2 rectangles)
We solve the area of the triangles by using the formula to the area of a triangle (B·H÷2) 8·6÷2=24
There are 2 triangles therefore we get 2*24 which is 48 CM²
Now we calculate the area of the rectangles (7·10=70, 8·7=56)
Finally we add up all the numbers (70+56+48=174 CM²)
Therefore the surface area of the triangular prism is 174 CM², respectively.
Rezultatul calculului 22 grade 45 minute+27 grade 35 minute este egal cu
Answers
Answer:
49 grade 80 minutes
Step-by-step explanation:
An instrument maker creates a triangle in the shape of an isosceles triangle by bending a metal rod. the rod is 13 inches long, and the bottom of the triangle is longer than the two sides. what is the length of the longest side?
the length of the longest slide is inches. the other two sides will each be
inches in length.
Answers
The length of the longest slide is 5 inches. he other two sides will be 4 inches in length.
Length of the longest slideIsosceles triangle
Given:
Total length=13 inches
Hence:
AC=BC<AB
Let AC=BC=x-1 inches
AB=x inches
Thus:
x-1+(x-1)+x=13
3x-2=13
3x=13+2
3x=15
divide both side by 3x
x=15/3
x=5 inches
Hence:
Other two side
x-1=5-1=4 inches
Therefore the length of the longest slide is 5 inches. he other two sides will be 4 inches in length.
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Answer:
4 in
Step-by-step explanation:
I Just Took the Test.
Solve this equation for x. X+13=22
Answers
Answer:
The value of X = 9
Step-by-step explanation:
X+13=22
X = 22-13
X = 9
Find the area of quadrilateral ABCD with vertices A(0, 4), B(4, 1), C(1, -3), and D(-3, 0).
Answers
Answer: 25
Step-by-step explanation:
Please help me with this, Thank You.
Answers
Answer:
missing side is 5x - 4
Step-by-step explanation:
x - 1 + ( 3x + 6 ) + third side = 9x + 1
x - 1 + 3x + 6 + third side = 9x + 1
4x + 5 + third side = 9x + 1
third side = 9x + 1 - ( 4x + 5 )
third side = 9x + 1 - 4x - 5
third side = 5x - 4
Perimeter = Side + Side + Side
Step-by-Step Explanation
=> 9x + 1 (1)
=> x - 1 (2)
=> 3x + 6 (3)
Adding 1 and 2, we get :-
=> 4x + 5 (4)
Thus, we can find the 3rd side by subtracting the Sum of the 2 Sides from
the Perimeter of the Triangle.
Subtracting 4 from 1, we get :-
=> 5x - 4
Therefore, 5x - 4 is the 3rd Side Length.
Evaluate the following expressions:
1. 5(a+2b)-3b
Answers
Answer:
=5a+7b
Step-by-step explanation:
Expand: 5(a + 2b): 5a + 10b
=5a+10b-3b
Add similar elements: 10b-3b=7b
=5a +7b
Answer:
[tex]\boxed{\sf{5a+7b}}[/tex]Step-by-step explanation:
[tex]\boxed{\underline{\text{Distributive property}}}[/tex]
Given:
In this question, I'm asking about the distributive property.
Distributive property is each term within the parentheses can be multiplied by a factor outside the parentheses.
For any real numbers a, b, and c.
Note:
⇒ A(B+C)=AB+AC
⇒ A(B-C)=AB-AC
Solutions:
5(a+2b)-3bMultiply by expand first.
[tex]\Longrightarrow: \sf{5(a+2b)}[/tex]
[tex]\Longrightarrow: \sf{5*a=5a}\\\\\Longrightarrow: \sf{5*2b=10b}[/tex]
Rewrite the equation problem down.
5a+10b-3b
Solve.
Subtract.
10b-3b=7b
[tex]\Longrightarrow: \boxed{\sf{5a+7b}}[/tex]
Therefore, the final answer is 5a+7b.I hope this helps, let me know if you have any questions.
What is the slope of the line passing through (5, 5) and (-4, 5)?
Answers
y = 0x + 5
(When x=0, y = 5)
Explanation:
m = y2 - y1
———— = tan(θ)
x2 - x1
Where:
m — slope
θ — angle of incline
Side note:
Hope this helps!
Please give Brainliest!
Solve simultaneously:
x-4y=1
6y=x-2
Answers
Answer:
separate : x-4y=1
= x-2y = 10
the other one: x = 6y + 2
togetehr : x = -1 , y = -1/2
step-by-step explanation:
i don't know if they're together so ima give you the answer for them if they are and just separte answers
A rectangular prism is 6.9 centimeters long and 1 centimeter wide. It’s volume is 21.39 cubic centimeters. What is the height of the rectangular prism? (will mark brainliest)
Answers
The height of the rectangular prism is 3.1
[tex]6.9x=21.39[/tex]
[tex]21.39[/tex] ÷ [tex]6.9=3.1[/tex]
Sure hope this helps