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OleMash [197]
2 years ago
12

Mei and Anju are sitting next to each other on different horses on a carousel. Mei's horse is 3 meters from the center of the

Mathematics
2 answers:
Law Incorporation [45]2 years ago
6 0

Answer:

The answer below me is correct, He just didnt have answers to go off, of  the answer is 2pi because 2 x 3.14 is 6.28

Post answers next time

SOVA2 [1]2 years ago
5 0

Answer:

2\pi \approx 6.28\ meters

Step-by-step explanation:

Mei's horse is 3 meters from the center of the carousel. After one rotation, Mei travelled

l_M=2\pi r=2\pi \cdot 3=6\pi\ meters

Anju's horse is 2 meters from the center. After one rotation, Mei travelled

l_A=2\pi r=2\pi \cdot 2=4\pi\ meters

The difference in their travelled distances is

l_M-l_A=6\pi -4\pi =2\pi \approx 6.28\ meters

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A candlestick contains 5 pounds of silver. Suppose silver is worth $15 per ounce.
Evgen [1.6K]

Step-by-step explanation:

1 pound = 16 ounces

5 pound = 16 x 5 = 80

Cost per ounce = 15

Cost of 80 ounces = 15 x 80 = 1200

Option D is the correct answer

7 0
2 years ago
Explain why the graphing calculator cannot be used to solve or approximate solutions to all polynomial equations.
Triss [41]

Did your explanation include the following?

Some polynomial equations have complex solutions.

Therefore, complex solutions cannot be found by graphing the related system or function in the Cartesian (x-y) plane.

Polynomial functions with all complex solutions do not have x-intercepts, and the related system of equations will not intersect.

6 0
2 years ago
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Find the value of y for a given value of x, if y varies directly with x.
stepan [7]

Answer:

5.46

Step-by-step explanation:

3.24/5.4 = y/9.1

7 0
1 year ago
A theatre has the capacity to seat people across two levels, the Circle and
andriy [413]

Answer: 76.19\%

Step-by-step explanation:

<h3> The complete exercise is: " A theatre has the capacity to seat people across two levels, the Circle, and the stalls. The ratio of the number of seats in the circle to a number of seats in the stalls is 2:5. Last Friday, the audience occupied all the 528 seats in the circle and \frac{2}{3} of the seats in the stalls. What is the percentage of occupancy of the theatre last Friday?"</h3>

Let be "s" the total number of seats in the Stalls.

The problem says that the ratio of the number of seats in the Circle to the number of seats in the Stalls is 2:5.

Since the number of seats that were occupied last Friday was 528 seats, we can set up the following proportion:

\frac{2}{5}=\frac{528}{s}

Solving for "s", we get:

s*\frac{2}{5}=528\\\\s=528*\frac{5}{2}\\\\s=1,320

So the sum of the number of seats in the Circle and the number of seats in the Stalls, is:

Total=1,320\ seats+528\ seats=1,848\ seats

 We know that \frac{2}{3} of the seats in the Stalls were occupied. Then, the number of seat in the Stalls that were occupied is:

(1,320)(\frac{2}{3})=880

Therefore, the total number of seats that were occupied las Friday is:

Total\ occupied=880\ seats+528\ seats=1,408\ seats

Knowing this, we can set up the following proportion, where "p" is the the percentage of occupancy of the theatre last Friday:

\frac{100}{1,848}=\frac{p}{1,408}

Solving for "p", we get:

(1,408)(\frac{100}{1,848})=p\\\\p=76.19\%

8 0
1 year ago
A coin has a radius of 10 mm. How long will it take the coin to roll through the given angle measure at the given angular veloci
Gemiola [76]

Answer:

t = 1.57 sec

distance, d = 98.65 mm

Step-by-step explanation:

Given an angle of 540°

At 6 revolutions per second, which is the angular velocity.

Radius, r = 10 mm

We are asked to find the time and the distance.

To find the time, let's use the formula:

\theta = a*t

Where \theta = angle in radians.

Converting 540° to radians, we have:

\theta = 540 * \frac{\pi}{180} = 9.42 rad

Therefore, from the formula, let's find t.

\theta = a*t

9.42 = 6 * t

t = \frac{9.42}{6} = 1.57

time = 1.57

To find the distance, we have:

\frac{1.57 * 360}{360} = \frac{d}{2 \pi r}

\frac{1.57 * 360}{360} = \frac{d}{2\pi 10}

1.57 = \frac{d}{20\pi}

d = 20 \pi *1.57

d = 98.65 mm

Therefore, the time is 1.57 seconds and the distance is 98.65 mm

8 0
2 years ago
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