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Nookie1986 [14]
3 years ago
5

A carnival ride is in the shape of a wheel with a radius of 20 feet. The wheel has 16 cars attached to the center of the wheel.

What is the central angle, arc length, and area of a sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive credit.

Mathematics
1 answer:
a_sh-v [17]3 years ago
7 0
Refer to the diagram shown below, which shows two of 16 equally-spaced cars attached to the center of the wheel.

The total central angle around the wheel is 2π.
Therefore the central angle between two cars is
(2π)/16 = π/8 = 0.39 radians (nearest hundredth)

The arc length between two cars is
s = (20 ft)*(π/8 radians) = 2.5π = 7.85 ft (nearest hundredth)

The area of a sector formed by two cars is
(1/16)*(π*20²) = 78.54 ft² (nearest hundredth)

Answers: (to the nearest hundredth)
Between two cars,
Central angle = 0.39 radians (or 71.4°)
Arc length = 7.85 ft
Area of a sector = 78.54 ft²


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4 0
3 years ago
Given the figure below, find the values of x and z.
stepan [7]

Answer:

z = 96; x = 8.

Step-by-step explanation:

z = 96. This is because the angle measuring z degrees is a vertical angle of the angle measuring 96 degrees, which means that the two angles are congruent.

The angle measuring 5x + 44 degrees forms a straight angle with the 96 degree angle. That means that the measurements of the two angles will add to be 180 degrees.

5x + 44 + 96 = 180

5x + 140 = 180

5x = 40

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Hope this helps!

4 0
3 years ago
) Supriya makes papadums to sell in her food truck. She uses 12 oz of dough to make each batch.
Anna11 [10]

The number of batches she can make is = 5 batches

<h3>Calculation of total number of batches</h3>

The amount of dough used to make each batch = 12oz

The total amount of dough she has= 60oz

Therefore, the number of batches she can make from the total dough available = b

Using the equation:

(dough for one batch) × (number of batches) = (total amount of dough)

which is = 12× b = 60

b= 60/12

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Learn more about batches here:

brainly.com/question/25770607

4 0
2 years ago
Pls Help!
mr Goodwill [35]

Answer:

34 Braids

Step-by-step explanation:

.85 per braid means 1 is 85 cents, 2 is $1.70 and so on.  So normally you would just divide the total amount of money, so for instance if you had $2.55 you would be able to afford 3 braids, since 3 braids cost $2.55.  in fact $2.56, $2.57 aaaaaaaaaaall the way up to $3.39 would be 3 braids, then $3.40 would be 4 braids.

Here though you first pay 3 dollars.  so you need 3 first, then an extra 85 cents to get 1 braid.  2 braids is 3 dollars plus 1.70, 3 braids is 3 + 2.55 4 braids is 3 + 3.40 and so on.

So what you want to do is first take away that 3 dollars you need before the braids, then divide by .85.  for instance $6.40 would get you 4 braids as I showed bcause 3 + 3.40 = 6.40.  now 6.40 - 3 = 3.40 then 3.40 divided by .85 = 4

The problem says we start with$32, so lets do those steps.  first 32 - 3 = 29.  then 29 divided by .85 = 34.11.  well it's not  whole number so lets try something.  34 braids would be 3 + .85*34 = 31.90 and 35 braids would be 32.75  So 31.90, 31.91 aaaaaaaaall the way up to 32.74 would be 34 braids then 32.75 would be 35 braids.  well, $32 is in that in between space, so it is 34 braids.

When I did 32 - 3 = 29.  then 29 divided by .85 = 34.11 that 34.11 does actually tell us we wouldn't get to 35, I just wanted to make it very clear.  so the answer is 34 braids.

7 0
3 years ago
Jacob makes the following statement:
timurjin [86]
I believe it is B, however this question is kind of a trap.

7 0
3 years ago
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