A circular carnival ride has a diameter of 120 ft. Suppose you board a gondola at

the bottom of the circular ride, which is 6 ft above the ground, and rotate 240°

counterclockwise before the ride temporarily stops. How many feet above ground

are you when the ride stops?

Answers

Answer 1

Answer:

The height above ground when the ride stops is 96 feet

Step-by-step explanation:

The given diameter of the carnival ride, d = 120 ft.

The height of the ride above the ground, h = 6 ft.

The angle through which the ride is rotated, θ = 240° counterclockwise

Therefore, we have;

The radius of the ride, r = d/2

∴ r = 120 ft./2 = 60 ft.

We note that at 180° rotation, the ride is at the highest point, [tex]h_{max}[/tex] = 6 ft. + 120 ft. = 126 ft.

When the ride rotates a further 240° - 180° = 60° the height drops from the maximum point by y = 60 ft. × cos (60°) = 30 ft., such that the final height above ground is therefore;

h = 126 ft. - 30 ft. = 96 ft.

The height above ground when the ride stops, h = 96 ft.

A Circular Carnival Ride Has A Diameter Of 120 Ft. Suppose You Board A Gondola Atthe Bottom Of The Circular

Related Questions

A business shipped 106 packages one day. Customers are charged 4.50 for each standard delivery and 7.50 for each express delivery

Answers

The question is incomplete:

A business shipped 106 packages one day. Customers are charged 4.50 for each standard delivery and 7.50 for each express delivery. Total shipping charges for the day were $600.00. How many of each kind of package were shipped?

Answer:

The business  shipped 65 standard delivery packages and 41 express delivery packages.

Step-by-step explanation:

Since the business shipped 106 packages one day you can say that:

x+y=106, where:

x is the number of standard delivery packages

y is the number of express delivery packages

Also, you can say that the result of multiplying the price per each type of package for its amount and adding those would be equal to the total shipping charges for the day, which is:

4.50x+7.50y=600

So, you have the following equations:

x+y=106 (1)

4.50x+7.50y=600 (2)

Now, you can solve for x in (1):

x=106-y (3)

Then, you can replace (3) in (2) and solve for y:

4.50(106-y)+7.50y=600

477-4.50y+7.50y=600

3y=600-477

3y=123

y=123/3

y=41

Finally, you can replace the value of y in (3) to be able to find the value of x:

x=106-41

x=65

According to this, the answer is that the business  shipped 65 standard delivery packages and 41 express delivery packages.


A sphere with diameter of 12 cm is being painted. How much more paint is now needed to paint the sphere that has four times the original diameter.
4 times more paint
B 8 times more paint
16 times more paint
D 64 times more paint

Answers

Answer:

64 times more paint will be needed since the volume of the second is 64 times the volume of the first

Step-by-step explanation:

If the original sphere is 12 cm diameter

its radius will be half this measure which is 12/2 = 6 cm

The new diameter is 4 times this, so its radius would be 4 times this and it is 24 cm

Now, the volume of the sphere means we have to raise the power of the radius by 3

The other terms in the formula remains the same for both, so we are simply comparing the radii

so we will have the difference in volume in times of multiples as ;

(24/6)^3 = 4 * 4 * 4 = 64

25% of 1375???????????????????????

Answers

Step-by-step explanation:

hope it is helpful to you

Answer: 343.75

Step-by-step explanation:

There are multiple ways to do this

1) Use decimals

25% is equal to 0.25

To find 25% of 1375, multiply 0.25x1375.

0.25x1375

=343.75

Or you can use fractions!

25%=0.25

0.25=1/4

Divide 1375 by 4

=343.75

25% of 1375 is equal to 343.75

is this quadrilateral a parallelogram? If yes, state the definition or theorem that justifies your answer.​

Answers

Answer:

yeah its parallelogram.

quadrilateral whose diagonal bisect each other are parallelogram .

2017 - Q13
13 Tivo identical number cubes are shown in the picture. The edge length of these number cubes
is 3 centimeters.
What is the combined volume of the two number cubes in cubic centimeters?
A 54 cm
B 18 cm
C 9 cm
D 27 cm

Answers

Answer:

Combined volume of the two number cubes = 54 cm³

Step-by-step explanation:

Given:

Side of a cube = 3 centimeter

Number of cubes = 2

Find:

Combined volume of the two number cubes

Computation:

If we combine two cube new figure will be a cuboid.

Length of new cuboid = 3 + 3 = 6 cm

Height of new cuboid = 3 cm

Width of new cuboid = 3 cm

Volume of cuboid = (l)(b)(h)

Combined volume of the two number cubes = (6)(3)(3)

Combined volume of the two number cubes = 54 cm³

somebody helpp and ty

Answers

Answer:

45 degrees

Its on the first bar in the 45 degree angle which is half of 90

Answer is 45 degrees

Barry is saving up to put new tires on truck the tires will cost 860 he has 180 plans to save 68dollars a week how many weeks will it take to save his money

Answers

Answer:

167.36 weeks

Step-by-step explanation:

Given: Currently has $180, the cost is $860, and he plans to save $68 a week

To find: How many weeks will it take to save his money

Solution: If Barry currently has $180 and needs $860 for his tires also saves $68 a week, divide the amount he wants to save by the amount he saves a week, to find how many weeks will it take to save his money

                                          860 ÷ 68 = 12.64

Subtract 180 because he already has $180 saved currently

                                           180 - 12.64 = 167.36

Hence, it will take approximately 167 weeks to save his money up to $860

Which of the equations below shows the relationship in the table?

Answers

Answer:

Im Sure its A

Step-by-step explanation:

Help pleas brainliest is insured if correct

Answers

Answer:

9 units

Step-by-step explanation:

because if the y-axis is 5 and the x-axis is 9, the line is 9 units.

There are 75 energy bars, 35 energy drinks, and 45 bottles of water. Each scout get the same amount of supplies with nine left over, what is the largest possible # of scouts in the troops (LCM)?

Answers

Answer:

See explanation

Step-by-step explanation:

A scout troop is going hiking. They have 75 energy bars, 35 energy drinks, and 45 bottles of water. If each scout gets the same amount of supplies with NONE left over, what is the largest possible # of scouts in the troop

Energy bars = 75

Energy drinks = 35

Bottles of water = 45

75 = 1, 3, 5, 15, 25 and 75

45 = 1, 3, 5, 9, 15, and 45

35 = 1, 5, 7 and 35

The highest common factor of 75, 35 and 45 is 5

Therefore, each scout get

Energy bars = 75/5

= 15 each per scout

Energy drink = 35/5

= 5 each per scout

Bottle water = 45/5

= 9 each per scout

I NEED HELP!!!Please

Answers

Answer:

15.9

Step-by-step explanation:

O/A

Tan47=17/x

x=17/tan 47

LENGHT OF ORBIT AND DISTANCE FROM SUN

Answers

orbit =365.256days

distance=149.60km

A: y = 1.5x
B: x = 1.5 + y
C: x = 1.75y
D: y = 1.75x

NO LINKS TY

Answers

picture won’t load!!

-7 2/3 + (-5 1/2) + 8 3/4 = ????

Answers

Answer:

-52/12 or -4 5/12

Step-by-step explanation:

hope this help there 2 ways

Answer:

-53/12 same as -4 4/12 same as -4,416

Step-by-step explanation:

convierte el numero mixto a una fracción impropia

-23/3 + (-5 1/2) + 8 3/4

cuando se encuentren un + en frente de una expresión dentro de un paréntesis, la expresión se mantiene igual

-23/3 - 5 1/2 + 8 3/4

convierte el numero mixto a una fracción impropia

-23/3 - 5 1/2 + 35/4

convierte el numero mixto a una fracción impropia

-23/3 -  11/2 + 35/4

calcula la suma o resta

-53/12

The population of Indiana showed an annual growth rate of 0.6% between 1998
and 1999. The population in 1999 was approximately 273,000,000. Based on this
model, find the population in 2007.

Answers

The population of Indiana in 2007 can be estimated by using the annual growth rate of 0.6% between 1998 and 1999 and the population in 1999, which was approximately 286,485,882.

To find the population in 2007, we need to calculate the growth from 1999 to 2007. We can do this by multiplying the population in 1999 by 1 plus the growth rate raised to the power of the number of years between 1999 and 2007.
Let's calculate step by step:
1. Calculate the number of years between 1999 and 2007: 2007 - 1999 = 8 years.
2. Calculate the growth rate per year: 0.6% = 0.006.
3. Calculate the population in 2007: 273,000,000 * (1 + 0.006)^8 = 273,000,000 * 1.048834 = 286,485,882 (approximately).
Therefore, based on this model, the population of Indiana in 2007 would be approximately 286,485,882.
For more similar questions on annual growth rate

brainly.com/question/30798879

#SPJ8

One of the tallest living trees today is the Mendocino Tree found at
Montgomery Woods State Park, California. Its height is about 11,200
centimeters. What is this height in scientific notation?​

Answers

Answer:

the height in scientific notation is 1.12 x 10^4 :)

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

i dont know

Step-by-step explanation:

Describe, in words, the process you would use to find w.

Answers

Answer:

w = 52°

Step-by-step explanation:

We know that the sum of the angle of a triangle is equal to 180 degrees

In this figure,

w+w+76 = 180

As w = w (Vertically opposite angles)

So,

2w = 180-76

2w = 104

w = 52

So, the value of w is equal to 52°.

Find the next three terms in the pattern: 7, 3,-1, -5, -9.... Then, describe the pattem.

Answers

Answer:

Next three terms are: - 13, - 17, - 21

Step-by-step explanation:

Evety time it decreases by 4.

Answer:

-13, -17, -21

Step-by-step explanation: keep subtracting 4

5x - y = -7
X + y = -5

Answers

Answer:

x = -2

y = -3

Step-by-step explanation:

5x - y = -7

x + y = -5

6x = -12

x = -2

x + y = -5

-2 + y = -5

y = -5 + 2

y = -3

Answer:

(-2,-3)

Step-by-step explanation:

x + y = -5

y = -x - 5

5x - (-x - 5) = -7

5x + x + 5 = -7

6x = -12

x = -2

x + y = -5

-2 + y = -5

y = -3

Which statement is not used to prove that ΔFGH is similar to ΔFIJ?


A. Angle F is congruent to itself, due to the reflexive property.

B. Angles FJI and FHG are congruent, due to the corresponding angles postulate.

C. Points F, J, and H are collinear.

D. Segments JI and HG are parallel.

Answers

Answer:

C. Points F, J, and H are collinear.

Step-by-step explanation:

Given

See attachment for triangle

Required

Which statement is false

Options A, B and D are true while C is false.

Two points are said to collinear if a straight line can pass through them.

From the attached triangle, we can see that a straight line cannot pass through F, J and H.

Hence, they are not collinear.

Since the statement is false, then it cannot be used as part of the proof.

Joanie's curtain company is making curtains for a local hotel. She wants each curtain to be 48 inches long. At the fabric store, fabric is sold by the foot. If Joanie's curtain company wants to make 56 curtains, how many feet of fabric will she need?
1 inch =1/12 foot

Answers

Answer: 224 feet

Step-by-step explanation:

Each curtain is 48 inches long, and she wants to make 56 curtains.

However, the fabric store sells by the foot.

There are two ways to do this:

1) You can convert beforehand.

48 inches= 4 feet because 1 inch=1/2 foot.

Multiply 48 by 1/12 to find how many feet are in 48 inches.

= 48/12

=4

So 48 inches= 4 feet

Now, each curtain is 4 feet. There are 56 curtains to be made.

Now multiply by 4 to find how many feet are in 56 curtains.

56x4=224 feet.

Answer= 224 ft

Or: You can convert afterwards

48x56= how many inches in 56 curtains

= 2,688 inches

Then, convert to feet!

1 inch= 1/12 foot

2688 multiplied by 1/12:

=2688/12

=224 feet

Answer= 224 feet

Either way, you both get 224 feet.

Marianne can say hello in more than 7

languages. Which number line could

represent this situation?

Answers

Answer:

Number line A.

Step-by-step explanation:

The first number line A, represents x > 7, which the unshaded circle starting from 7 and moving to the right.

Number line B represents x < 7 with the direction being to  the left (opposite of A).

Number line C is synonymous with A, however the starting point is shaded which represents x ≥ 7

Number line D also follows up from B with D representing x ≤ 7

Please help (;´༎ຶٹ༎ຶ`)

Answers

D, I’m pretty sure.




Select all correct ways of factoring –3x – 9.

Answers

umm if u factor it u get
-3(x+3)

Answer:

Some possible expressions, since there's no answer choices provided:

-3(x + 3)

3(-x - 3)

Step-by-step explanation:

Expression 1:

This uses a GCF of -3, since -3x and -9 are divisible by this. Let's divide -3x and -9 by this first:

-3x / -3 = x

-9 / -3 = 3

So now, we can add these terms and multiply them by -3 to get our answer:

-3(x + 3)

And just to check, we can expand it:

-3x + -3(3) = -3x - 9

Expression 2:

This uses a GCF of 3, like the last one but it's negative. -3x and -9 are also divisible by this. Let's divide both terms by this GCF first:

-3x / 3 = -x

-9 / 3 = -3

Now, we can add these terms and multiply them by -3 to get our final answer:

3(-x - 3)

To check, once again:

-3x + 3(-3) = -3x - 9

The lengths of the sides of the triangle are 3, 8, and 10. Is the triangle a right triangle, acute triangle, or an obtuse triangle?

Answers

Answer:

Obtuse

Step-by-step explanation:

You have to make sure it is a triangle by adding the smallest and the medium sides, if the result is greater than the bigger side then it is a triangle. you then use the Pythagorean theorem to check if the triangle is a right triangle, acute, or obtuse. If [tex]c^{2}[/tex] = [tex]a^{2} +b^{2}[/tex] then it is a right triangle. If [tex]c^{2} >a^{2} + b^{2}[/tex] then it is an obtuse triangle. if [tex]c^{2} < a^{2} +b^{2}[/tex] then it is an acute triangle. [tex]10^{2}[/tex] _ [tex]3^{2} + 8^{2}[/tex] 9+64_100 70_100 70<100

in this case [tex]c^{2}[/tex] is greater than [tex]a^{2} +b^{2}[/tex] therefore, is it an obtuse triangle.

20mm 10mm 10mm surface area

Answers

1200
good luckkkkkkkkkk

What is the area of the trapezoid?

12 ft 2
14 ft 2
13 ft 2
10 ft 2

Answers

Answer:

10 ft 2

Step-by-step explanation:

A=a+b2h=3+72·2=10

Find all the zeroes of polynomial 2x4
– 9x3 + 5x2 + 3x – 1 ,if two of its zeroes are 2 + √3 & 2 - √3

Answers

9514 1404 393

Answer:

  x ∈ {-1/2, 1, 2-√3, 2+√3}

Step-by-step explanation:

The given zeros mean that one of the quadratic factors of the given polynomial is ...

  (x -2)^ -3 = x^2 -4x +1

When that is factored out (see first attachment), the remaining quadratic is ...

  2x^2 -x -1

This can be factored as ...

  = (2x +1)(x -1)

which has roots that make these factors zero: x = -1/2, x = 1.

So, all of the zeros of the given polynomial are ...

  -1/2, 1, 2-√3, 2+√3 . . . all zeros

__

A graphing calculator can often point to the zeros of the function quite nicely.

_____

Additional comments

When p is a zero of a polynomial, (x-p) is a factor of it. The given zeros mean that factors are (x-2-√3) and (x-2+√3). The product of these factors is the difference of the squares (x-2)^2 and (√3)^2, so is (x -2)^2 -3.

Using the pattern for the square of a binomial, we see this is ...

  (x-2)^2 = x^2 -2·2x +2^2 = x^2 -4x +4

The product of the given factor is then 3 subtracted from this square. The given zeros mean there is a quadratic factor of ...

  (x-2-√3)(x-2+√3) = (x-2)^2 -3 = x^2 -4x +4 -3 = x^2 -4x +1

Solve the inequality for x.

x - 10 > 14

Simplify your answer as much as possible.

Answers

Answer:

+10 on both sides so

X+10-(10)>14-(10)

x>4

Answer:

x > 24

Step-by-step explanation:

Alright so! Add 10 to both sides and you'lll get your answer!

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