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cupoosta [38]
3 years ago
13

The minute hand of a clock is 6 inches long and moves from 12 to 4 o'clock. How far does the tip of the minute hand move? Expres

s your answer in terms of pi and then round to 2 decimal places.
Mathematics
1 answer:
Masja [62]3 years ago
7 0

Answer: 12.56 inches

Step-by-step explanation: First, when know the following:

A clock is a circle, so the total movement, from 12 to 12 is 360° or 2π.

It is also know that a circle circunference (The total size of the circle on a straight line) is 2π * Radius

The minute hand does a circle on its travel, that circle radius is equal to 6 inches.

The movement from 12 to 4 is a third (4/12 = 1/3). Knowing this:

120° = (1/3) * 360° = (1/3) * 2π = (2/3) * π

So the travel from 12 to 4 is (2/3)π

To know the distance on inches, we multiply the distance on radians per the radius.

Total distance = 6 * (2/3)π

Total distance = 4π inches

Total distance = 12.56 inches

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Because you drew that first pink ball, there are two pink balls left and the total number of balls left is nine.

Hence, the probability of drawing another pink ball after drawing the first pink ball would be:

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2 years ago
What is 20-7n=8(n-2). Please show steps.
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Now the equation is : 20 - 7n = 8n - 2

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3 years ago
The contingency table below gives the counts of students by activities and gender. Band Sports Debate Total Male 105 320 7 432 F
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Answer:

599/711

Step-by-step explanation:

           Band Sports Debate Total

Male     105 320  7         432

Female 105 160         14         279

Total 210 480          21          711


P(female or plays sports)

We want the probability that they are female or play sports, but we cannot double count the female sports players, so we subtract them

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279/711 + 480/711 - 160/711

599/711

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