Choose the equation that represents the graph below:<br> y=-x+4<br> y=-x+4<br> y=2x-4<br> y = x

A regular hexagon inscribed in a circle is approximately 0.827 times the area of that same circle. What percentage of the circle

tatyana61 [14]

a. The percentage of the circle occupied by the hexagon is 82.7%

b. The percentage of the circle not occupied by the hexagon is 17.3%

Step-by-step explanation:

a regular hexagon inscribed in a circle is approximately 0.827 times the

area of that same circle

1. Assume that area the circle is x

2. Find the ratio of area hexagon to area circle

3. Change The ratio to percentage

4. Subtract area hexagon from area circle to find the area not occupied

by the hexagon and do the same steps 2 and 3 with the area not

occupied and the circle

∵ The regular hexagon inscribed in a circle

∴ Area the circle > area of the hexagon

∵ Area the circle is x

∵ Area the hexagon is 0.827 times the area of the circle

∴ Area hexagon = 0.827(x)

∵ The ratio between area hexagon and area circle = $\frac{0.827x}{x}$

- Cancel x up with x down

∴ The ratio between area hexagon and area circle = 0.872

- Change the ratio to percentage by multiply it by 100%

∴ The percentage of area hexagon to area circle = 0.827 × 100%

∴ The percentage of area hexagon to area circle = 82.7%

a. The percentage of the circle occupied by the hexagon is 82.7%

∵ Area the circle is x

∵ Area the hexagon is 0.827 x

∴ The area not occupied by the hexagon = x - 0.827 x

∴ The area not occupied by the hexagon = 0.173 x

The ratio between area not occupied by the hexagon and area circle

= $\frac{0.173x}{x}$

- Cancel x up with x down

∴ The ratio between area not occupied by the hexagon and area

circle = 0.173

- Change the ratio to percentage by multiply it by 100%

∴ The percentage of area not occupied by the hexagon to area

circle = 0.173 × 100%

∴ The percentage of area not occupied by the hexagon to area

circle = 17.3%

b. The percentage of the circle not occupied by the hexagon is 17.3%

Learn more:

You can learn more about percentage in brainly.com/question/12284722

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6 0

3 years ago

Helpp picture about

laila [671]

Answer:

Option A, C, and E

Step-by-step explanation:

7 to the fourth power is the same as 7 times 7 times 7 times 7.

7^4 is the same thing as 7 to the fourth power, just rewritten.

I hope this helped, please give brainliest if this is correct! Thank you!

8 0

4 years ago

A fire engine starts pumping water at 9:20 am at the rate of 800 gallons per minute. Another fire engine, pumping at the rate of

AleksAgata [21]

Answer:

10:10 AM

Step-by-step explanation:

The first thing is to use an identical time variable for both cases, we will do it as follows:

Let t = number of minutes of pumping time of the first fire engine

Therefore, for the second fire truck it would be:

(t-10) = pumping time of the second fire engine, since it started 10 min after the first engine.

To find the value of t, we equalize the equations of the first engine and the second engine:

We know that the first one would be: 800 * t

And the second: 1000 * (t-10)

Thus

1000 * (t-10) = 800 * t

1000 * t - 10000 = 800t

1000 * t - 800 * t = 10000

200 * t = 10000

t = 10000/200

t = 50 minutes

In other words, 50 minutes after the first engine starts pumping, it equaled the second

To know the time they were matched it would be like this:

9:20 AM +: 50 = 10:10 AM

Therefore, at 10:10 AM both engines were matched.

To check the above we have to:

50 * 800 = 40000

40 * 1000 = 40000

Therefore, in that time, they were equalized.

4 0

3 years ago

Read 2 more answers

Find the slope of the line (-7,3) (6,3)

statuscvo [17]

Answer:

0, it's a line parallel to the x-axis

Step-by-step explanation:

7 0

4 years ago

Does the number line below represent the solution to the inequality x > -2?

sp2606 [1]

Answer:

B I aplogize if its wrong i haven't done this type of math in a couple years so its foggy

Hope it Helps!

3 0

3 years ago

Choose the equation that represents the graph below: y=-x+4 y=-x+4 y=2x-4 y = x - 4