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WITCHER [35]
2 years ago
12

A carnival ride is in the shape of a wheel with a radius of 25 feet. The wheel has 20 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. (10 points)
Mathematics
1 answer:
Usimov [2.4K]2 years ago
3 0

Answer:

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

Step-by-step explanation:

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41. Which system is represented by the graph?
nekit [7.7K]

Answer:

the answer is the first choice please mark me brainliest

6 0
2 years ago
A boat starts from a port and moves 12 miles north and then moves 5 miles east. what is the present distance of the boat from th
disa [49]
If you sketch the path of the boat, you will form a right triangle towards the port. The distance from the port to the present position is the hypotenuse since it is opposite from the right angle formed by the 12 miles north and 5 miles east movement. Since it is a right triangle, use the Pythagorean Theorem to solve the hypotenuse.

Solution:

h² = o² + a²
h² = 12² + 5²
h² = 144 + 25
h² = 169
√h² = √169
h= 13

The present distance of the boat from the port is 13 miles.
7 0
2 years ago
Anyone know how to do this?
Lera25 [3.4K]

Answer:

Part A) 25

Part B) 225

Step-by-step explanation:

Part A

The slope of the graph gives us the mile per gallon of the car.

Recall that the slope of the graph is rise over run.

m =  \frac{200}{8}  = 25

Therefore car gets 25 miles per gallon

Part B) Since we know the slope of the direct variation line, we substitute into y=kx to get:

y = 25x

To find the number of miles the car travels using 9 gallons, we substitute x=9 to get:

y = 25 \times 9

This gives us 225 miles

8 0
2 years ago
The largest possible circle is cut out of a square whose side length is 8 feet. What will be the approximate area, in square fee
valentina_108 [34]
<h3>Therefore the area of remaining board  =13.76 square feet</h3>

Step-by-step explanation:

Given , The length of side of the square is 8 feet.

Since a circle is inscribed in the square. Then the diameter of the circle is equal to the length of side of the square .

Therefore the diameter of the circle is = 8 feet.

Radius of the circle is(r) = \frac{8}{2} feet = 4 feet

The area of the circle is= 3.14 r²

                                       = 3.14 × 4² square feet

                                      = 50.24 square feet

The area of the square  is = side × side

                                          = 8×6 square feet

                                          =64 square feet

Therefore the area of remaining board = (64- 50.24)square feet

                                                                 =13.76 square feet

4 0
2 years ago
Solve the equation 40 = -10(y+0.3). what does the y equal​
alexdok [17]

Answer:

y = -4.3

Step-by-step explanation:

40 = -10(y + 0.3) <em>{Step 1: Use the distributive property to multiply -10 by y + 0.3}</em>

40 = -10y + -10(0.3)

40 = -10y - 3 <em>{Step 2: Add 3 to both sides.}</em>

40 + 3 = -10y

43 = -10y <em>{Step 3: Divide both sides by -10}</em>

43/-10 = y

-4.3 = y

y equals -4.3.

4 0
3 years ago
Read 2 more answers
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