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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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What is the equation of a circle that has a center at (-4, 10) and a radius of 8?
mars1129 [50]

Answer:

The equation of the circle is (x + 4)^2 + (y - 10)^2 = 64, third option is correct.

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center (x_0,y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

Center at (-4, 10)

This means that x_0 = -4, y_0 = 10.

Radius of 8:

This means that r = 8. So

(x - x_0)^2 + (y - y_0)^2 = r^2

(x - (-4))^2 + (y - 10)^2 = 8^2

(x + 4)^2 + (y - 10)^2 = 64

The equation of the circle is (x + 4)^2 + (y - 10)^2 = 64, third option is correct.

3 0
3 years ago
Nasser is following this recipe to make flapjacks.
bogdanovich [222]
Nasser is making 80 flapjacks

1800g / 225g x 10=80
8 0
3 years ago
Which value for the variable w makes the value of this expression 10?
Sidana [21]

Answer:

5

Step-by-step explanation:

50/5=10

therefore 5 is your answer

3 0
2 years ago
Read 2 more answers
Solve the equation for y. Then find the value of y for each value of x. <br><br> y+2x=5; x= -1, 0, 4
antiseptic1488 [7]

Answer:

y = 3, y = 5, y = -1

Step-by-step explanation:

What you do is you substitute the x values into the x.

<em>y + 2(-1) = 5</em>

<em>y + -2 = 5</em>

y = 3

<em>y + 2(0) = 5</em>

y = 5

<em>y + 2(4) = 5</em>

<em>y + 6 = 5</em>

y = -1.

7 0
3 years ago
What is 16+48 in distributive property??
Butoxors [25]

Answer:

un-distribute the GCF of the two numbers.

16(1 + 3)

Distributing we get:

16(1) + 16(3)

16 + 48

Step-by-step explanation:

:)

7 0
3 years ago
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