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Arada [10]
3 years ago
11

1. Find the diameter of a circle whose circumference is 18.85 m. A. 3.46 m B. 12 m C. 6 m D. 2.45 m

Mathematics
2 answers:
Dvinal [7]3 years ago
7 0

18.85 = 3.14d

Divide both sides by 3.14

x=6

The answer is C. 6m

Korolek [52]3 years ago
6 0

For this case we have to:


The circumference or perimeter of a circle is given by:


c = \pi d\\

where d is the diameter of the circle.


Substituting the given value of c, c = 18.85m, we have:


18.85 = \pi d\\

d = \frac{18.85}{\pi } \\\\d = 6\\

Therefore, the diameter of the circle is 6m.


Answer:


Option C

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8 0
3 years ago
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places
Ghella [55]

Answer:

That is the solutions are:

\frac{\pi}{3}+2\pi \cdot k,\frac{5\pi}{3}+2\pi \cdot k

Step-by-step explanation:

The period of \cos(x) or \sin(x) is 2\pi.

Let's look at the first rotation to see when \cos(\theta)=\frac{1}{2} happens.

This happens at \frac{\pi}{3} and also at \frac{5\pi}{3}. (Notice I just looked at the x-coordinates because that is what cosine is. Sine is the y-coordinate.)

Now to find the rest of the solutions we can just make full rotations either way to get back to those points .

That is the solutions are:

\frac{\pi}{3}+2\pi \cdot k

\frac{5\pi}{3}+2\pi \cdot k

7 0
4 years ago
The length of rectangle is represented by 8x - 3. The width of the rectangle is represented by 2x. The perimeter is 34 inches. W
Strike441 [17]

Answer: 20x-6 = 34

Step-by-step explanation:

Given: The length of rectangle is represented by 8x - 3.

The width of the rectangle is represented by 2x.

The perimeter is 34 inches.

Perimeter of rectangle = 2 (length + width)

Perimeter of rectangle = 2 (8x-3+2x)

Perimeter of rectangle = 2 (10x-3)

Perimeter of rectangle = 20x-6

Thus , the required equation that represent the perimeter: 20x-6 = 34

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3 years ago
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aev [14]

Answer:

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Sequence 2: Reflect across the origin, translate 1 unit down, 1 unit to the right

Step-by-step explanation:

Chose 1 point to focus in, such as (-1, 1)

Move that point 5 units to the right, and 5 units down. See how it matches up with the same corner of the red square?

Now, use that same point, and change the signs of both the x and y, this is to reflect across the origin. (In reality, you are just reflecting across the x and y axis)

So you originally have: (-1,1) -> (1, -1)

Now move this point one unit to the right, and 1 unit to the left.

It may seem that you made it touch the wring corner, but do the same thing with another corner's points. They all flipped!

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