a ferris wheel rotates 9pi/8 radians prior to making a stop the total height of the ferris wheel is 246 ft how far around did the ferris wheel travel round to the nearest whole foot

Answers

Answer 1

Answer:

ferris wheel travel approx = 434.72 ft

Step-by-step explanation:

given data

wheel rotates = 9pi/8 radians

total height of the ferris wheel =  246 ft

solution

we can say here that height of the ferris wheel is same as the diameter of the wheel

and wheel is circular in shape

so we get here first radius of wheel that is

radius = half of diameter    ..........................1

put here value and we get

radius = 0.5 × 246

radius = 123 ft

and

wheel travel distance = length of arc by a angle of wheel rotates

so here length of arc will be

arc length = radius × wheel rotates angle   .....................2

put here value and we get

arc length  = 123 × [tex]\frac{9\pi }{8}[/tex]

arc length = 434.7178 ft

so ferris wheel travel approx = 434.72 ft


Related Questions

Pleaaase helppp i will mark brainly

Answers

Answer:

C. x = 6

Step-by-step explanation

since we have a right triangle then we can apply the Pythagorean theorem:

x² + 8² =10²

⇒ x² = 10² - 8²

⇒ x² = 36

⇒  x² = 6²

⇒ x = 6  (because x is positive)

A customer buys a CD for $15 and a video game. The customer pays a total of $42.80 for the two items, which includes 7% sales tax. Which equation can be used to find x, the cost of the video game before tax?

Answers

Answer:

Step-by-step explanation:

Let x represent the cost of the video game before tax.

A customer buys a CD for $15 and a video game. The expression for the total cost of both items before tax is

15 + x

The customer pays a total of $42.80 for the two items. This includes 7% sales tax. The amount of tax paid by the customer for both items would be

7/100 × 42.8 = $2.996

The amount paid for the items before tax would be

42.8 - 2.996 = 39.804

Therefore, the equation that can be used to find x, the cost of the video game before tax is

15 + x = 39.804

Answer:

B

Step-by-step explanation:

Identify all values that are irrational.
-1/3
-3
13
Pi/3​

Answers

Answer:

pi/3  irrational

Step-by-step explanation:

A rational number is the ratio of two integers

-1/3 is two integers  rational

-3 can be written as -3/1  rational

13 can be written as 13/1  rational

pi/3  pi itself is irrational  and cannot be written as an integer

Evelynn has a home that was recently appraised for $127,000, and the balance on the existing mortgage is $88,350. If a bank is willing to loan up to 75% of the appraised value, calculate the potential amount of credit available on a home equity loan.

Answers

Answer:

$6,900

Step-by-step explanation:

To calculate the potential amount of credit available on the home equity loan, first you have to calculate 75% of the appraised value:

$127,000*75%= $95,250

Then, as Evelynn has an existing mortgage, you have to subtract this amount from $95,250:

$95,250-$88,350= $6,900

According to this, the answer is that the potential amount of credit available on a home equity loan is $6,900.

You randomly draw a marble out of a bag that contains 202020 total marbles. 121212 of the marbles in the bag are blue. What is \text{P(draw a blue marble})P(draw a blue marble)start text, P, left parenthesis, d, r, a, w, space, a, space, b, l, u, e, space, m, a, r, b, l, e, end text, right parenthesis? If necessary, round your answer to 222 decimal places.

Answers

Answer:

0.60

Step-by-step explanation:

Probability is defined as the likelihood or chance that an event will occur. IT is expreesed as shown;

Probability = Expected outcome of event/total outcome of event

If a bag contains 20 total marbles, then the total outcome of event is 20.

If 12 blue marbles are selected from the bag, the expected outcome of event will be 12.

Probability of drawing a blue marble P(draw a blue marble)= 12/20

= 0.60 (to 2dp)

Each of the 108 students attending a conservatory of music plays at least one of the​ piano, harp, and clarinet. 67 play the​ piano, 46 play the​ harp, 32 play the​ clarinet, 19 play the piano and the​ harp, 13 play the harp and the​ clarinet, and 8 play the piano and the clarinet. How many play all three​ instruments? Hint​: Let x represent the number of students who play all three instruments.

Answers

Answer: 76

Step-by-step explanation:

Which of the following equations has the same solution as m - (-62) = 45?

1.)25 - x = 8
2.)120 + x = 13
3.)120 - x = 13
4.)x + 25 = 8

Answers

Answer:

the answer to this is option 4.

Answer:

4, x = -17

Step-by-step explanation:

Solve for xxx. Write the smaller solution first, and the larger solution second. Round to two decimal places. (x + 3)^2 - 3 = 0

Answers

Answer:

x=-4.73 and -1.26

Step-by-step explanation:

We need to solve the given equation for x.

[tex](x + 3)^2 - 3 =0[/tex]

Solving the above equation using formula (a+b)² =a²+2ab+b²

[tex](x + 3)^2 - 3 =0\\\\x^2+9+6x-3=0\\\\x^2+6x+6=0[/tex]

It is a quadratic equation.

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

We have, a = 1, b = 6 and c = 6

[tex]x=\dfrac{-6\pm \sqrt{(6)^2-4\times 1\times 6} }{2\times 1}\\\\x=\dfrac{-6+\sqrt{(6)^{2}-4\times1\times6}}{2\times1},\dfrac{-6-\sqrt{(6)^{2}-4\times1\times6}}{2\times1}\\\\x=-1.267, -4.73[/tex]

So, the values of x are -4.73 and -1.26

Mrs. P made a large batch of clay. She gave out all of the clay in equal parts to 6 teachers. Each of those teachers gave out all of the clay they received. They each gave equal parts to 6 teachers. ​How many students received part of Mrs. P batch of clay?

PLEASE NEED HELP AND STEPS

Answers

Answer:

36 student gets the equal amount of Clay by Mrs p

The answer should be 36 students

anyone please appreciate yall x​

Answers

Answer:

h = 2.5 cm

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the area of the triangular end, h is the length of prism )

Here V = 35 and h = 7, thus

7A = 35 ( divide both sides by 7 )

A = 5 cm²

Thus

A = [tex]\frac{1}{2}[/tex] × 4 × h = 5

2h = 5 ( divide both sides by 2 )

h = 2.5 cm

What is the probability of selecting a jack then a 4 from a deck of cards
with replacement?

Answers

Answer:

[tex]\frac{4}{663}[/tex]

Step-by-step explanation:

A standard deck without jokers is 52 cards. Selecting a Jack would have a [tex]\frac{1}{13}[/tex] chance.

Then to select a 4 without replacing the Jack you took, you would have a [tex]\frac{4}{51}[/tex] chance.

[tex]\frac{1}{13}*\frac{4}{51}=\frac{4}{663}[/tex]

Answer:

1/169.

Step-by-step explanation:

Prob( a jack) = 4/52 = 1/13

Prob( a 4) = 4/52 = 1/13

Required probability = 1/13 * 1/13

= 1/169.

Which factorization is equivalent to this expression?

30x + 70



Answer 10(3x+7)


Hopes this helps.

Answers

Answer:

[tex]10(3x+7)[/tex]

Step-by-step explanation:

we have the expression:

[tex]30x + 70[/tex]

To factor this expression we need to indentify the components that are common in both terms.

At first glance there is nothing in common, but we can notice that 30 and 70 are multiples of 10, that is:

[tex]10*3=30\\10*7=70[/tex]

so we can substitute this into the expression:

[tex]10*3x+10*7[/tex]

and now that we have the common term (the number 10) we can factorize it, that is, take out the common term and include a parentheses:

[tex]10(3x+7)[/tex]

Answer:

The Answer is 10(3x+7)

Step-by-step explanation:

| n | = 3.5 what value for n will make this expression true

This is the I Ready diagnostics.please help me this is due very very soon! Thanks!!

Answers

Answer:

3.5 and -3.5

Step-by-step explanation:

absolute value is the distance from zero to that number so 3.5 and -3.5 should be correct.

Answer:3.5 and -3.5

Step-by-step explanation:

n has absolute value marks, so whatever n is is positive. 3.5 and |-3.5| =3.5

7 A polygon has the following coordinates: A(2,-2), B(-4,-4), C(-4,-1), D(-2,3), E(1,3), F(2,5). Find the length of BC. A. 4 units B. 5 units C. 3 units D. 2 units Reset Submit Coordinate Geometry Tools Save Session Questions: 0 of 10 Answered 1 2 3 4 5 6 7 8 9 10 Answered Current Unanswered 6 of 10 Answered Session Timer: 5:33 Session Score: 33% (2/6)

Answers

Answer:

B.

Step-by-step explanation:

Well to find BC, you have to know B and C

B = (-4, 4)

C = (-4, -1)

The distance is:

√(4 + 1)^2 + (-4 + 4)^2

√25

5

Answer:

5 units

Step-by-step explanation:

What you know about rollin' down in the deep?

When your brain goes numb, you can call that mental freeze

When these people talk too much, put that poop in slow motion, yeah

I feel like an astronaut in the ocean, ayy


Can anyone help me solve this question thanks?

Answers

This is the answers: X^2+8x+15

Answer:

X^2 + 8x + 15

Step-by-step explanation:

The only like terms are 5x and 3x so you add those together and sinse no other terms are similar you leave the answer at x^2 + 8x +15.


VOLUME of Rectangle !!
Fill in the blanks -------

1. Length is 6.0, Width is 3.2, HEIGHT ?? ( ANSWER ) total volume 96 cm .
FIND THE HEIGHT HERE !!

2.LENGTH ?? ( ANSWER ) width is 2.0, height 1.1 total volume 22 cm .
FIND THE LENGTH HERE !!

3. length is 12.0, WIDTH ?? ( ANSWER ), Height is 4.0 and the total volume is 120 cm.
FIND THE WIDTH HERE !!

PLEASE....HELP !!! WRITE PROPERLY PLEASE... CORRECT ANSWER PLSS...

Answers

Answer:

see below

Step-by-step explanation:

V = l*w*h

1. V = l*w*h

96 = 6*3.2 h

96 = 19.2h

Divide each side by 19.2

96/19.2 =h

h = 5

2. V = l*w*h

22 = l*2 *1.1

22 = 2.2l

Divide each side by 2.2

22/2.2 =l

10 = l

3. V = l*w*h

120 = 12*w *4

120 = 48w

Divide each side by 48

120/48 = w

w =2.5

The bar graph in the following graphic represents fictional net exports in billions of dollars for five countries. Net exports are obtained by subtracting total imports from total exports; a negative net export means the country imported more goods than it exported.

What is the sum of net exports for Germany and China ?
a.
-80 billion dollars
c.
90 billion dollars
b.
180 billion dollars
d.
150 billion dollars

Answers

Answer:

d.) 150 billion dollars

Step-by-step explanation:

As per the given bar graph, we can draw the following conclusions:

Net exports for United States = ~ -110 Billion Dollars (It means import of 110 Billion Dollars)

Net exports for Denmark = ~ -30 Billion Dollars (It means import of 30 Billion Dollars)

Net exports for China = ~ 115 Billion Dollars

Net exports for Germany = ~ 35 Billion Dollars

We have to find the sum of net exports of Germany and China:

[tex]\Rightarrow[/tex] 35 + 115 = 150 Billion Dollars.

Hence, correct answer is d. 150 Billion Dollars.

Answer: d

Step-by-step explanation:

150 billion dollars

x²-5x divided by 2
= 0​

Answers

Answer:

x = 10, x = 0

I dont know if you wanted an answer but yeah-

(x^2-5x)/2=0
x^2-5x=0x2
x^2-5x=0
x(x-5)=0
Either, x=0 or x-5=0
x=0 or x=5

4 1/2 + 2 3/4 + 1.5 + 2.25 + 2 + 2 1/2?

A. 16.25
B. 15
C. 14.5
D. 15.5

Answers

Answer:

14.5

Step-by-step explanation:

⇒4[tex]\frac{1}{2}[/tex] + 2[tex]\frac{3}{4}[/tex] + 1.5 + 2.25 + 2 + 2[tex]\frac{1}{2}[/tex]

⇒ 4.5 + 2.75 + 1.5 + 2.25 + 2 + 2.5

⇒ 14.5

Hope this helps!!!

Please help it’s urgent!! Find the sine, cosine and tangent of angle B. Leave answers as reduced fractions.

Answers

Answer:

sin(B) = 4/5

cos(B) = 3/5

tan (B) = 4/3

Step-by-step explanation:

soh cah toa

^^ they got it right

Which statement is best represented by the inequality d less-than 0.35?
The pen costs less than $0.35.
The pencil costs are greater than $0.35.
The toy costs more than $0.35.
The stamp’s cost is equal to $0.35.

Answers

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

What is x? I really dont get it please help

Answers

25

Vertical angles are congruent/equal :

Answer:

25°

Step-by-step explanation:

Because its equal to the angle across it.

At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown below. Which of the following could be the second equation in his system of equations?

Answers

Answer:

A bag of chips costs $1

A pickle costs $1.25

Step-by-step explanation:

P + 2c = 3.25                            Start with these two equations

3p + 4c = 7.25

p = -2c + 3.25                           Solve for one variable

3(-2c +3.25) + 4c = 7.25           Substitute

-6c + 9.75 + 4c = 7.25

-2c = -2

c = 1

p + 2(1) = 3.25                           Substitute

p + 2 = 3.25

p = 1.25

The Webster family is planning a barbecue for one hundred people. The Webster family needs one plastic plate for each person at the barbecue. The Stop and Shop store sells plastic plates in packages of fteen for ve dollars and ninety-nine cents per package. How many packages of plastic plates does the Webster family need to buy? What is the cost of plates for the barbecue?

Answers

The question is incomplete:

The Webster family is planning a barbecue for one hundred people. The Webster family needs one plastic plate for each person at the barbecue. The Stop and Shop store and Market Place Store both sell plastic plates in packages of fifteen for five dollars and ninety-nine cents per package. How many packages of plastic plates does the Webster family need to buy? What is the cost of plates for the barbecue?

Answer:

-The Webster family needs to buy 7 packages.

-The cost of the plates is $41.93.

Step-by-step explanation:

To calculate amount of packages that the Webster family need to buy, you have to divide the amount of people by the number of plates in each package:

100/15= 6.66

According to this, as they will need more than 6 packages, the Webster family needs to buy 7 packages to have one plastic plate for each person at the barbecue.

Then, the cost of the plates for the barbecue would be calculated by multiplying the price of each package for the number of packages needed:

$5.99*7= $41.93

The cost of the plates is $41.93.

What is a 3 sided polygon with at least two sides the same length??

Answers

Answer:

An isosceles triangle

Step-by-step explanation:

An isosceles triangle has 3 sides and has two equivalent sides with the same measure

Answer:

Triangle Isosceles

Step-by-step explanation:

Triangle Isosceles is the 3 sided opygon wich has two sides the same lenght

whats the theoretical probability of popping a polka dot balloon? express your answer as a fraction, decimal and percent



solid 15

polka dot 5

striped 17
PLZZ HELP ME DUE TOMORROW

Answers

Answer:

5 / 37

Step-by-step explanation:

Solution:-

- An archer stall game was played to receive a prize to pierce an arrow through a polka dot balloon.

- There are three types of balloons clustered together. The distribution of each balloon is given as such:

                 Type                        Number

                 Solid                             15

                 Striped                          17

                 Polka Dot                      5

- The probability of an arrow piercing through a polka dot balloon can be determined from the basic definition of probability of an event.

- Define event ( A ) : The number of Polka dots balloon popped

- Then, the probability of event ( A ) would be defined as:

    p ( A ) =  [ Number of polka dots balloons available ] / [ Total balloons ]

- We have 5 polka dots balloons among the cluster. The cluster comprises of balloons of all types with their specific distribution as expressed above. Hence:

                  p ( A ) = [ 5 ] / [ 15 + 17 + 5 ]

                  p ( A ) = [ 5 ] / [ 37 ]

- The probabbility that an arrow pops a polka dot balloon is 5 / 37.

Note: If we are given more than 1 arrow or multiple tries, then we must remember that the probability of event ( A ) changes after every popped balloon ( irrespective of type ). Hence, the probability of popping polka dot balloon is dependent event over number of trials. Except if you miss an arrow and none of the balloons is popped, only then the p ( A ) remains same for the next trial.

       

(Mark 1) Frequency x+2
(Mark2) Frequency x+1
(Mark3) Frequency x+5
(Mark4) Frequency 2x-5
(Mark5) Frequency x-1
If the average
the to 3 sf
mark is
73 /25Find
a) The variance
b) The Standard deviation
c( Coefficient of Variation​
100 points to be given to the correct answer

Answers

:

-by-step explanation:

Out of a survey of 49 randomly chosen students 12 said they were going to attend a concert predict the number the number of students who attend the school

Answers

Answer:

Option C is correct.

The number of students who attend the school is approximately 980.

Step-by-step explanation:

The complete question is presented in the attached image to this question

It is known that 240 students bought concert tickets. That is, 240 students are attending the concert.

But out of a randomly chosen 49 students, 12 say that they are going for the concert.

Using the sample for a prediction or an approximation, the proportion of total number of students going for the concert = (12/49) = 0.245

Let x be the total number of students that attend the school.

This translates to the fact that

(0.245 × x) = 240

x = (240/0.245)

x = 979.6 = 980 to the nearest whole number.

Hope this Helps!!!

Answer: 613 students.

Step-by-step explanation:

Your question does not include the number of tickets sold as that will enable us to find out the number of students.

For that reason I will assume a number and you will then get a reference on how to solve this question.

Let us assume that 150 tickets were sold.

Now if 12 students out of a sample of 49 said they were going to attend and 150 tickets were sold, that means 150 tickets is the number of students that went from the general population.

This means that 12/49 should give us the same as 150/x with x being the total population of the school.

Solving for x,

12/49 = 150/x

12x = 150 * 49

12x = 7,350

x = 7,350 / 12

x = 612.5

x = 613 students.

Can you please help please please help me with this question i will give you a Brainiest

Answers

Answer:

They are all even

Step-by-step explanation:

Solve for an angle in right triangles
Please help! Thank you!

Answers

Answer:

Angle A = 55.15 degrees

Step-by-step explanation:

cos^-1(4/7)=Angle A

Therefore, Angle A = 55.15 degrees

Answer:

55.15

Step-by-step explanation:

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