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lana66690 [7]
2 years ago
10

A Ferris wheel car moves from point C to point D on the circle shown below: Circle A is shown with points C and D on the circle

and the central angle C A D marked 42 degrees. The diameter is 30 feet. What is the arc length the car traveled, to the nearest hundredth?
Mathematics
1 answer:
natali 33 [55]2 years ago
7 0

Answer:

10.99 feet

Step-by-step explanation:

The arc length when an angle of 360° is made is the perimeter of the circle.

Perimeter = π*Diameter = π*30 = 94.25 ft

To know the arc length when an angle of 42° is made, we need to use the following proportion

94.25 ft / x ft = 360° / 42°

x = 42/360*94.25

x = 10.99 ft

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An angle measuring (525n)° is in standard position. For which value of n will the terminal side fall along the negative portion
Mazyrski [523]

For n=2,

put the value 2 in the above equation we get 525*2=1050°.

1050° angle takes 2 complete revolution and then makes an angle of 330° which will fall in the negative portion of y-axis.


For n=6,

put the value 6 in the above equation we get 525*6=3150°.

3150° angle takes 8 complete revolution and then makes an angle of 270° which will fall along negative y-axis.



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2 years ago
Read 2 more answers
Toby's Tiny Toys have fixed expenses of $53,900 for the production of their tiny toys. Toby's has a variable expense of $12.50 a
ipn [44]

The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let x be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be 12.50x. From this information we can gather that the cost function for this factory is,

C(x)=53\,900+12.50x.

On the other hand, if we let x be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,

R(x)=16.50x.

Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that

R(x)=C(x)\\\implies 16.50x=12.50x+53\,900\\\implies 16.50x-12.50x=53\,900\\\implies 4x=53\,900\\\implies x=\frac{53\,900}{4} \\\implies x=134\,750.

The company has to sell 134 750 units to break even.

6 0
2 years ago
Lindy works at a pizza restaurant and gets a 10% employee discount. She knows that if she orders d drinks and a medium pizza wit
guajiro [1.7K]

Answer: OPTION D.

Step-by-step explanation:

You know that Lindy's total cost can be found using this expression provided in the exercise:

0.90(2.25d + 1.40t + 6)

Where "d" is the number of drinks she orders and "t" is the number of toppings for a medium pizza she orders.

Since she and her friends to order 4 drinks and a medium pizza with 3 toppings, you can find the total cost by substitute values into the given expression.

The values are:

d=4\\\\t=3

Substituting into the expression and evaluating, you get:

 0.90(2.25d + 1.40t + 6)= 0.90(2.25(4) + 1.40(3) + 6)=\$17.28

4 0
2 years ago
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Which story represents the equation six sevenths times one fourth?
Vesnalui [34]

Answer:  (C) Victoria has six sevenths of a pizza. She ate one fourth of it for dinner. How much pizza did Victoria eat for dinner?

Step-by-step explanation: One clue is "of" in the story and which matches "times" in the equation sentence. The question is is about multiplication.

Words such as "more" "and" & "total" are usually clues that the question is about addition. "Give" "take" "difference" & "have/are left" are clues that there is subtraction in the process.

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2 years ago
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Four trucks were used to make deliveries. The drivers recorded the number of miles driven and the amount of gasoline used. Truck
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Answer: Truck C

Step-by-step explanation: 14:1

8 0
2 years ago
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