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insens350 [35]
3 years ago
8

At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?

Mathematics
1 answer:
kati45 [8]3 years ago
4 0

Answer:

Okay. At noon, the hour and minute hand overlap. First, let’s calculate the speed of the hands.

The minute hand rotates once around the clock every hour. It goes 360 degrees in 60 minutes, so it rotates 360/60 or 6 degrees per minute. The hour hand goes once around the clock every 12 hours. Because there are 60 minutes in an hour, it goes 360 degrees 12*60 or 720 minutes. This means it travels at a speed of 360/720 or 0.5 degrees per minute.

Once the clock starts, the minute hand goes ahead and rotates ahead of the hour hand. At 1:00, the minute hand is at 12, and the hour hand is ahead at 1. This is where we will start our calculations.

Now, we have a variable, m, which is the minutes that have passed since the clock started. So, our minute hand speed is 6m, and our hour hand speed is 0.5m. However, because the hour hand is at one, it is at 30 degrees. (360/12 * 1.) This means our equation is 6m = 0.5m+30.

Now, we calculate.

6m = 0.5m+30

5.5m = 30

m = 30/5.5

m = 5.45

So at 5.45 minutes, the minute hand is at the hour hand. However, because one hour has passed since we started, we have to add on one hour.

So, our final total is 1 hour 5 minutes and 27 seconds.

Step-by-step explanation:

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247 is equal to 200+40+7.

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40+50=90
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5 0
3 years ago
Read 2 more answers
2^5 over 4 = 2^5 over 2a = 2^b = c What are a b and c
likoan [24]

Answer:

a = 2

b = 3

c = 8

Step-by-step explanation:

<em>2^5/4</em>=<em>2^5/2a</em>=<em>2^b</em>=<em>c</em>

      <em>2^5/4</em>, 2^5 = 32, 32/4 = 8

             so c, being what all of this is equal to, is 8

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              so a = 2

      <em>2^b </em>= 8, ∛8 =  3

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6 0
3 years ago
Suppose a Hispanic Heritage festival is held in an area measuring 2,494 square yards. If the length of the festival is 58 yards,
Kaylis [27]

Answer: 43 yards.

Step-by-step explanation:

Let the shape of the area occupied for festival be rectangle.

and area of rectangle = length x width

Given: Area of the festival= 2,494 square yards.

Length of the festival=  58 yards

Then width = (Area )÷ (length)

=  (2494)÷58  yards

= 43 yards

hence, the  width of the festival = 43 yards.

4 0
3 years ago
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Answer:

Step-by-step explanation:

6x-8y=12

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Step-by-step explanation:

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8 0
3 years ago
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