The table of values shows the height of a car of a Ferris wheel as it travels in a circular motion. Which statements are true? Select each correct answer.
The car makes a complete revolution in 12 s
The maximum height of the Ferris wheel above ground is 50 yd.
If the car is loaded at 0s, then people are loaded at the lowest height of the Ferris wheel.
The radius of the Ferris wheel is 25 yd
Answers
Answer:
The true statements are;
The car makes one complete revolution in 12 s
The radius of the Ferris wheel is 25 yd
Step-by-step explanation:
The values of the table of the given Ferris wheel are presented here as follows;
[tex]\begin{array}{cc}Time \ (seconds) &Height \ (yards)\\0&30\\3&55\\6&30\\9&5\\12&30\\15&55\\18&30\\21&5\\24&30\end{array}[/tex]
From the table, we have;
The time it takes the Ferris wheel to complete a motion round from a height of 30 yards and back to 30 yards which is one revolution = 12 s
∴ The time it takes the car to complete one revolution = 12 s
The maximum height of the Ferris wheel = 55 yards
The lowest height of the Ferris wheel = 5 yards
The time at which the Ferris wheel is at the lowest height = 9 s, and 21 s
If the car is loaded at 0 s, then people are loaded above the lowest height of the Ferris wheel
The diameter of the Ferris wheel = The maximum height of the Ferris wheel - The minimum height of the Ferris wheel
∴ The diameter of the Ferris wheel = 55 yards - 5 yards = 50 yards
The radius of the Ferris wheel, R = 1/2 × The diameter of the Ferris wheel
∴ The radius of the Ferris wheel, R = 1/2 × 50 yards = 25 yards
Therefore, the true statements are;
The car makes one complete revolution in 12 s
The radius of the Ferris wheel is 25 yd.
Related Questions
PLEASE HELP ME ON MATH ASAP
Answers
Answer: the answer is 4
Step-by-step explanation: 3x4 is 12 so 12-(2+4)=6
Math club has 18 members. Each member pays
$16.40 each month. 11 members have already
paid. How much money needs to be collected?
Answers
$114.80
Step by step explanation
solve 15-(7x+20)=0.5(6x-14)
Answers
Answer:
x= 1/5
Step-by-step explanation:
Remove parentheses.
15−7x−20=0.5(6x−14)
Simplify 15-7x-2015−7x−20 to -7x-5−7x−5.
-7x-5=0.5(6x-14)
−7x−5=0.5(6x−14)
3 Expand.
-7x-5=3x-7
−7x−5=3x−7
4 Add 7x7x to both sides.
-5=3x-7+7x
−5=3x−7+7x
5 Simplify 3x-7+7x3x−7+7x to 10x-710x−7.
-5=10x-7
−5=10x−7
6 Add 77 to both sides.
-5+7=10x
−5+7=10x
7 Simplify -5+7−5+7 to 22.
2=10x
2=10x
Divide both sides by 1010.
\frac{2}{10}=x
10
2
=x
9 Simplify \frac{2}{10}
10
2
to \frac{1}{5}
5
1
.
\frac{1}{5}=x
5
1
=x
Activity 2 of 2
Part B: What is the probability that a member chooses whole wheat bread, ham, and Swiss cheese?
O A. 1
Answers
Answer:
1/12
Step-by-step explanation:
I got this question on one of my quizzes
WHC 1 WWBHC 1 Explanation: there are 12 samples and they asked us to
WHS 2 WWBHS 2 pick 1 so it would be 1/12
(whole wheat bread, ham, swiss)
WHA 3 WWBHA 3
WTC 4 WWBTC 4
WTS 5 WWBTS 5
WTA 6 WWBTA 6
Kathleen correctly answers 85% of the total questions on a math question correctly answer 17 questions use proportions to find the total number of questions on Kathleen's math quiz
Answers
Answer:
I am don't know sorry
Step-by-step explanation:
sorry follow me
Please guys this is easy, I need help ASAP! (Giving brainliest)!
Answers
Answer:
Step-by-step explanation:
a 2x-6/5=4
2x-6=20
2x=26
x=13
b 7-2x/4=9
-2x=8
x=-4
Please help and quick thanks
Answers
Answer:
C. 2x^2 - 14x +7
Step-by-step explanation:
Here is a picture of the answer.
2. 8 - 6x = 18x
I need help please
Answers
Answer:
x=3
Step-by-step explanation:
8-6x=18x
8-6x+6x=18x+6x
8=24x
x=3
Answer:
x=3
Step-by-step explanation:
First we have to get x by itself-
8-6x=18x If you add 6x to -6x it chancels out
+6x +6x
8=24x Now we have to divide by 8
/8 /8
x=3
For which function would f(3) = 17
A)f(x) = 3x+6
B)f(x) = 2(x + 4)+3
C) f(x) = 5x
Answers
A function is defined as a relation between a set of inputs having one output each.
The function that would give f(3) = 17 is
f(x) = 2 ( x + 4 ) + 3
What is a function?A function is defined as a relation between a set of inputs having one output each.
We have,
f(3) = 3x + 6
Substitute x = 3
f(3) = 3 x 3 + 6 = 9 + 6 = 15
f(x) = 2 ( x + 4 ) + 3
Substitute x = 3
f(3) = 2 ( 3 + 4 ) + 3 = 2 x 7 + 3 = 14 + 3 = 17
f(x) = 5x
Substitute x = 3
f(x) = 5 x 3 = 15
We see that f(x) = 2 ( x + 4 ) + 3 gives the 17 at x =3.
Thus the function that would give f(3) = 17 is
f(x) = 2 ( x + 4 ) + 3
Learn more about functions here:
https://brainly.com/question/26885907
#SPJ2
HI
HELP ME NOW PLS
thank you:)
Answers
Answer:
Y= 10x
Step-by-step explanation:
Someone help it would be very much appreciated:,)
Answers
2) A
3) D
4) B
5) C
6) D
Katie has a small bag of skittles.
2 red skittles
6 green skittles
2 orange skittles
Katie will randomly choose 1 skittle from the bag. What is the probability in decimal form that Katie will choose a green skittle?
Answers
Answer:
60% out of 100%
Step-by-step explanation:
Answer:
0.6
Step-by-step explanation:
add the total amount of skittle =10
the are 6 green skittles
fraction is 6/10 or 3/5
Decimal form 0.6
Hope this helps ^-^
Select all the number set names that apply to
V6
Irrational
Integer
Rational
O Real
Whole
Answers
p is directly proportional to m, and p = 128 when M=8
Answers
Answer:
16
Step-by-step explanation:
p is directly proportional to M
p = km
given that k is the constant of proportionality
128 = 8k
k = 128/8
k = 16
the equation thus is p = 16M
HAAAAAAAAAAAAAAAALPPPPPPPPPPPPP
Answers
Answer:
its the last one
Step-by-step explanation:
first two are opinion and are not formal, and the third one is off topic
Answer:
C? if not im sorry
Step-by-step explanation:
HELP PLEASE. The areas of the squares adjacent to two sides of a right angle are shown above. what is the area of the Square adjacent to the third side of the triangle?
Answers
Answer:
6.5units
Step-by-step explanation:
Find the length side of the smaller square
The area of the square is equal to
A = a^2
so
a^2 = 13
a = √13 units
step 2
Find the length side of the larger square
The area of the square is equal to
A = b^2
so
b^2 = 29.25
b = √29.25 units
step 3
Find the value of x
Applying the Pythagoras Theorem
x^2 = a^2 + b^2
x^2 = 13 + 29.25
x^2 = 42.25 units
x = √42.25
x = 6.5 units
The area of the square adjacent to the third side of the triangle is 85 square units.
Pythagoras theorem:Important information:
The area of Red square is 35 square unitsThe area of Green square is 50 square units.According to the Pythagoras theorem:
[tex]a^2=b^2+c^2[/tex]
Where, a is hypotenuse and b, c are two legs of a right-angle triangle.
Area of a square is the square of side length. So, [tex]b^2=35[/tex] and [tex]c^2=50[/tex]. Now,
[tex]a^2=35+50[/tex]
[tex]a^2=85[/tex]
Therefore, the area of the square adjacent to the third side of the triangle is 85 square units.
Find out more about 'Pythagoras theorem' here:
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christina wants to buy a coach bag that normally costs $450. It goes on sale at a 15% discount. What is the amount of money being discounted off the original price?
Answers
Answer:
67.50
Step-by-step explanation:
100%-> 450
15%-> 67.50
If triangle ABC is similar to triangle EHG, find the measure of angle EHG.
Answers
First we need to find all the interior angles. So we know that the inside of a triangle (all the angles added up) equals 180. So we need to equal all the inside angles to 180.
2x + x + 60 = 180
Now lets start to solve. First let's subtract the 60 from both sides.
2x + x = 120
Now we need to add the x's together.
3x = 120
Now we must divide the 120 by 3 to get x by itself.
x = 40
Now just replace the x with 40 to find each of the sides. I'm guessing the triangles are reflecting each other so <EHG would be equal to 80.
ALSO to check if 40 would be correct, add all the angles together in the same triangle and they SHOULD add up to be 180! Which they do!
Step-by-step explanation:
Firstly let's calculate the unknown angles in triangle ABC
2x + x + 60° = 180° { being sum of angles of triangle }
3x = 180° - 60°
3x = 120°
x = 120° / 3
x = 40°
2x = 2 * 40° = 80°
Now since it is said that triangle ABC and triangle EHG are similar so
< EHG = < ABC = 2x = 80°
Hope it will help :)
In rectangle JKLM, JN is 20 in. Find the length of JL
N
M
Answers
Answer: 40
Step-by-step explanation:
An online store charges a few of $4.50 for shipping. There is an additional charge of $0.50 for each pound the item weighs. How much does the store charge to ship a hammock that weighs 10.54 pounds?
Answers
Answer:
The store charges $9.77 to ship a hammock that weighs 10.54 pounds.
Step-by-step explanation:
4.50 (shipping cost)
0.50 (per 1 pound)
w = weight in pounds
w=10.54
4.50+0.50w= total cost
sub in 10.54 for w
remember order of operations (PEMDAS)
4.50 + 0.50 (10.54) = 4.50 + 5.27 = 9.77
The store charges $9.77 to ship a hammock that weighs 10.54 pounds.
What's 80% as a decimal?
Answers
Hope this helps!!!!
:):):)
:):);):)
Answer:
The ans is 0.8
Step-by-step explanation:
80% = 0.8 in decimal form.
Percent means 'per 100'. So, 80% means 80 per 100 or simply 80/100.
If you divide 80 by 100, you'll get 0.8 (a decimal number). Read more below on this webpage.
As you can see, to convert from percent to decimal just divide the percent value (80) by 100, and remove the "%" sign.
(hope this helps can i plz have brainlist :D hehe)
HELPPPPP
The function g(t) = -16t2 + vt + h represents the height of an object, g, in feet above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial height of h feet.
A model rocket is launched off the ground at an initial velocity of 80 feet per second.
Write a function that can be used to describe the flight of the model rocket.
A. g(t) = -16t^2 + 80
B. g(t) = -16t^2 + 80t
C. g(t) = -16t^2 + t + 80
D. g(t) = -16t^2 + 80t + 80
Answers
Answer:
B. g(t) = -16t² + 80tStep-by-step explanation:
Given function:
g(t) = -16t² + vt + hA model rocket is launched off the ground at an initial velocity of 80 feet per second.
This gives us
h = 0 and v = 80The function becomes:
g(t) = -16t² + 80tCorrect option is B.
lan travels 10 yd on his unicycle
every 4 s. Based on this ratio, how
many seconds does it take lan to
travel 25'yd on his unicycle?
Answers
Answer:
[tex]10 = 4 \\ 25 = x \\ 25 \times 4 = 100 \\ 100 \div 10 = 10s[/tex]
help me pls the photo attached is the question quick pls ill give brainliest answer
Answers
Answer:
12:18 and 20:30
Step-by-step explanation:
Answer:
12:18? n 20:30?
Step-by-step explanation:
sorry if im rong
12x−4y= −12 in slope intercept form
Answers
The Pythagorean Theorem, given by the formula a^2 + b^2 = c^2 , relates the three sides of a right triangle. Solve the formula for the positive value of a in terms of b and c.
Answers
Answer:
c=√a²b²
Step-by-step explanation:
A bag contains only red marbles and blue marbles in the ratio of 3 red to 2 blue.
If there are 24 red marbles, how many blue marbles are there?
Plz help me :)
Answers
Answer:
16
Step-by-step explanation:
create a t chart on one side put 3 and on the other put 2.
times 3 by 8 (you'll get 24) and then times 2 by 8 (you'll get 16.
I need help quick- Thanks btw :>
Answers
Answer: 3/4 feet
Step-by-step explanation:Conversion a mixed number 3 5/
12
to a improper fraction: 3 5/12 = 3 5/
12
= 3 · 12 + 5/
12
= 36 + 5/
12
= 41/
12
To find new numerator:
a) Multiply the whole number 3 by the denominator 12. Whole number 3 equally 3 * 12/
12
= 36/
12
b) Add the answer from previous step 36 to the numerator 5. New numerator is 36 + 5 = 41
c) Write a previous answer (new numerator 41) over the denominator 12.
Three and five twelfths is forty-one twelfths
Conversion a mixed number 2 2/
3
to a improper fraction: 2 2/3 = 2 2/
3
= 2 · 3 + 2/
3
= 6 + 2/
3
= 8/
3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8
c) Write a previous answer (new numerator 8) over the denominator 3.
Two and two thirds is eight thirds
Subtract: 41/
12
- 8/
3
= 41/
12
- 8 · 4/
3 · 4
= 41/
12
- 32/
12
= 41 - 32/
12
= 9/
12
= 3 · 3/
3 · 4
= 3/
4
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(12, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 12 × 3 = 36. In the next intermediate step , cancel by a common factor of 3 gives 3/
4
.
80% of C is 11 what is C
Answers
Answer:
c = 13.75
Step-by-step explanation:
Converting the words in the problem into a math equarion, we get:
80% * c = 11
0.8c = 11.
Simplifying, we get:
8c = 110
c = 13.75
Answer:
55
Step-by-step explanation:
Solve the system of equations
help me show the steps
5x -2y = 88
3x+4y=58
Answers
Answer:
x=18
Step-by-step explanation:
add 2y to both sides 5x=2y+88
subtract 88 from both sides 2y=5x-88
substitute 2y in the second equation for 5x-88
3x+10x-176=58
add like terms 13x-176=58
add 176 both sides
13x=234
x=18
Answer:
( 18, -6.5 )
Step-by-step explanation:
First choose which method you plan on using: Substitution or Elimation. I chose elimination based off preference.
How to solve using Elimination:
5x -2y = 88 (multiply every number in this equation by two)
3x+4y=58
10x -4y = 176
3x+4y=58 (combine these two equations)
13x = 234 (isolate x by dividing by 13 on both sides)
x = 18 (this is your value for x)
3(18) +4y=58 (plug in for x)
54+4y=28 (solve)
4y = -26 (subtract 54 from both sides)
y = -6.5 (this is y)
write answer in (x, y) format
( 18, -6.5 )