The following figure is a regular hexagon. What is the value of w? ILL GIVE BRAINLIEST!!!!

Mathematics

1 answer:

earnstyle [38]3 years ago

6 0

The sum of the interior angle of a polygon is 720°, thus the value of w will be obtain as follows:
size of each angle is
720/6=120°
thus
8w=120
solving for w we get'
(8w)/8=120/8
w=15°
Answer: w=15°

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Tap A takes 6 minutes to fill a tank and tap b takes 9 minutes to fill the same tank. Pipe C can empty the tank in 15 minutes. H

jekas [21]

Answer: approximately 4.7368 minutes

This decimal value is the result of computing 90/19

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Explanation:

Let's find the LCM of 6, 9 and 15. First, list out the prime factorization of each value.

6 = 2*3
9 = 3*3
15 = 3*5

The unique prime factors are 2, 3, and 5. We have 2 show up at most once, 3 show up at most twice, and 5 show up at most once. The LCM is 2^1*3^2*5^1 = 2*9*5 = 18*5 = 90.

We'll use this LCM value to set up an example below.

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Consider the tank to be 90 gallons. If we only use tap A, keep tap B closed, and don't open pipe C, then tap A fills the tank at a rate of 90/6 = 15 gallons per minute since it needs 6 minutes to completely fill the tank.

If we have tap B do all the work (keep tap A and pipe C closed), then the rate is 90/9 = 10 gallons per minute for this tap.

Keeping pipe C closed, the two taps A and B work together to have a combined rate of 15+10 = 25 gallons per minute.

Now we consider pipe C being opened. This drains the tank and can do so in 15 minutes (assume the taps A and B aren't open). If we're dealing with a full 90 gallon tank, then its rate is 90/15 = 6 gallons per minute.

The net rate is 25-6 = 19 gallons per minute. We can think of it as a tug of war where the taps A and B ultimately win out despite the fact that pipe C is draining the water. The two taps fill the tank faster than the pipe can drain the tank.

In other words, the tank ultimately gets filled up rather than drained out over the long run. That net speed is at 19 gallons per minute.

The amount of time needed is approximately 90/19 = 4.7368 minutes.

Side note: you can start with any size tank. It doesn't have to be 90 gallons. I picked on this value because it works cleanly with the original given numbers 6, 9 and 15.

6 0

3 years ago

Read 2 more answers

A. Find a power function that models the data below.

zalisa [80]

Using Visual inspection, the model which fits the data in the distribution better is the power function.

The power and linear functions can of the data can both be modeled using technology,

Using Technology :

The power function in the form $y = Ax^{B}$ which models the data is $1.926x^{1.662}$

The linear function in the form $y = Bx + A$ which models the data is $y = 7.429x - 8.333$

Where A = intercept and B = slope

From the model, correlation coefficient given by the power and linear models are 0.999 and 0.986 respectively.

Hence, the power model is a better fit for the data than the linear model.

Therefore, Inspecting the models visually, the power function fits the data better as the points on the curve are closer to the regression line than on the linear model.

Learn more :brainly.com/question/18405415