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Snowcat [4.5K]
3 years ago
15

PLEASE HELP DUE IN 10 MIN ITS A FINAL

Mathematics
1 answer:
Tomtit [17]3 years ago
7 0

Answer:

intersecting

Step-by-step explanation:

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Suppose theta(????) measures the minimum angle between a clock’s minute and hour hands in radians. What is theta′(????) at 4 o’c
makvit [3.9K]

Answer:

\frac{\pi }{30} radians per minute.

Step-by-step explanation:

In order to solve the problem you can use the fact that the angle in radians of a circumference is 2π rad.

The clock can be seen as a circumference divided in 12 equal pieces (because of the hour divisions). Each portion is \frac{1}{12}

So, you have to calculate the angle between each consecutive hour (Let ∅ represent it). It can be calculated dividing the angle of the entire circumference by 12.

∅=\frac{2\pi }{12} = \frac{\pi }{6} rad

Now, you have to find how many pieces of the circumference are between 12 and 4 to calculate the angle (Because 4 o'clock is when the minute hand is in 12 and the hour hand is in 4)

There are 4 portions from 12 to 4, so the angle (Let α represent it) is:

α= (4)\frac{\pi }{6} = \frac{2\pi }{3}

But the answer is asked in radians per minute. So you have to divide the angle by the amount of minutes between the hands of the clock at 4 o'clock.

There are 60 divisions in a clock for representing minutes, therefore in every portion there are:

\frac{60}{12} = 5 minutes

So, from the 12 mark to the 4 mark there are 20 minutes

The angle per minute is:

α= \frac{2\pi/3 }{20} = \frac{2\pi }{(20)(3)} = \frac{\pi }{30} rad/min

Notice that the minimum angle is the angle mesured clockwise.

4 0
3 years ago
Which variable is discrete?
svetoff [14.1K]

We want to see which one of the given variables is a discrete variable, the correct option is "number of pockets inside jacket"

<h3>What is a discrete variable?</h3>

A discrete variable is a variable that can't take some values in a given interval where it is defined, in contrast to a continuous variable, which can take all the values of the interval.

For example, the "length of a jacket" would be considered a continuous variable, as the length can take any measure you want.

Similar for the weight and the size of the jacket pocket in square inches, these are continuous variables.

But the remaining option is not continue, the number of pockets inside the jacket can only be an integer, then there are values (like 1.3) that can't represent the number of pockets inside the jacket, thus, this is a discrete variable.

So the correct option is the first one: "number of pockets inside jacket"

If you want to learn more about discrete variables, you can read:

brainly.com/question/14486464

6 0
2 years ago
Help help ASAP!!!!!!!!
Georgia [21]

Answer:

d = 25.12

Step-by-step explanation:

volume = 144 pie cm cubed

h = 9

d = (144 pie cm cubed / 9) / 2

d = 25.12

6 0
3 years ago
The total temperature change over 5 days in Pretty City was −15 degrees Celsius.
luda_lava [24]
Um I think 3 degrees
3 0
4 years ago
RAPIDOOOOOOO PLS In a hydraulic jack, the pipe below the load has an area of 4 m2, and the pipe through which the input force tr
vazorg [7]

Answer:

heheheheheheheh

Step-by-step explanation:

7 0
4 years ago
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