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3 years ago

An equilateral triangle with sides of length 6 is inscribed in a circle what is the diameter

Mathematics

1 answer:

Nataly_w [17]3 years ago

5 0

Answer:

The diameter of the circumscribed circle is 6.92

Step-by-step explanation:

In the question, we are asked to calculate the diameter of a circle, which has a an equilateral triangle inscribed in it.

To solve this problem, let us consider the diagram attached.

Now let’s assume the point o is the center of the circle and that r is the radius of the circle. Now to calculate this radius, we need to employ the use of a trigonometrical ratio.

According to the question, we can see that we have the adjacent and the hypotenuse, so the trigonometric identity to use is the cosine.

Mathematically;

Cosine 30 = 3/r

r = 3/cosine 30

Cosine 30 = 0.866

r = 3/0.866

r = 3.46

But in the question, we were asked to calculate the diameter and not the radius.

Mathematically; d = 2r = 2 * 3.46 = 6.92

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a diver is 19 meters below the surface of the water use an integer to represent how far the diver will need to travel to reach t

Basile [38]

Answer:

The diver need to travel 19 meter up to reach the surface

Step-by-step explanation:

* Lets explain how to solve the problem

- For any starting point the position at it is zero

- If the moving from the starting point is vertically, then the distance

below the starting point is negative and above the starting point

is positive

- If the moving from the starting point is horizontally, then the

distance left to the starting point is negative and right to the

starting point is positive

* Lets solve the problem

- A diver is 19 meters below the surface of the water

- Assume that the surface of the water is the zero position

∵ The diver is 19 meter below the surface of the water

∴ The diver is at the position -19

- The diver need to travel 19 meters to reach the surface of the water

∵ -19 + 19 = 0

∴ The diver need to travel 19 meter up to reach the surface

8 0

3 years ago

What is the solution to the equation-0.2(x-20)=44-x

Black_prince [1.1K]

Answer:

x = 50

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an ini

Trava [24]

The price for each instructor will be the same at 3 hours. How I determined this answer:

First off, you need to add the initial price and hourly price for each person together, so you already know how much it will cost for 1 hour, including the initial fee. Here's how you do it:

Ieda: $11.00 (hourly price) + $8.50 (initial fee) = $19.50 (for 1 hour)

Thanh: $10.50 (hourly price) + $10.00 (initial fee) = $20.50 (for 1 hour)

Now that you have the price for 1 hour including the initial fee, now you need to find the price for each hour after that. Here's how I did that:

I created a graph that looked like this:

Hours: 1 2 3
Ieda: 19.50 30.50 41.50
Thanh: 20.50 31.00 41.50

Here's how I figured out the price for each hour:

Ieda:

Hour 1 (including initial price):
$11.00 + $8.50 = $19.50
Hour 2 (excluding initial price): Only add the hourly price after Hour 1!
$19.50 + $11.00 = $30.50
Hour 3 (excluding initial price):
$30.50 + $11.00 = $41.50

Thanh:

Hour 1 (including initial price):
$10.50 + $10.00 = $20.50
Hour 2 (excluding initial price):
$20.50 + $10.50 = $31.00
Hour 3 (excluding initial price):
$31.00 + $10.50 = $41.50

So, looking at the graph, their prices are the same once each instruction reaches 3 hours. ($41.50)

I hope I was able to help you! :)

5 0

3 years ago

Read 2 more answers

If a car is traveling at 64 mph how many miles will it travel in 6 hours

kozerog [31]

Answer:

384

Step-by-step explanation:

64*6=384

Hope it helped!

6 0

3 years ago