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astra-53 [7]
3 years ago
9

the form ula for the area of a circle can be found by using a parallelogram. explain the way to derive the formula​

Mathematics
2 answers:
USPshnik [31]3 years ago
7 0

Answer:

Sample response: The circle can be cut into slices, separated, and fit together to form a parallelogram that has the same area. The height of the parallelogram is the radius and the base is half the circumference, which is

vladimir2022 [97]3 years ago
4 0

Answer:

Explanation: As you make the segments smaller and smaller, the parallelogram becomes more of a rectangle with shorter side equal to the radius of the circle r and longer side πr - half of the circumference of the circle. Hence we get the formula πr2 for the area of a circle of radius r .

Step-by-step explanation:

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Solve 4x - 3 = 18. Round to the nearest thousandth.
lorasvet [3.4K]

Answer:

x=5.250

Step-by-step explanation:

We have been given an equation 4x-3=18. We are asked to solve our given equation.

First of all, we will add 3 to both sides of our equation.

4x-3+3=18+3

4x=21

Now, we will divide both sides of our equation by 4.

\frac{4x}{4}=\frac{21}{4}

x=5.25

Upon rounding our answer to nearest thousandth (3 places after decimal) we will get,

x=5.250

Therefore, the solution for our given equation is x=5.250.

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3 years ago
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What isvequivalent to y=23x−6?
RUDIKE [14]

Answer:

Slope = 46.000/2.000 = 23.000

x-intercept = 6/23 = 0.26087

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3 years ago
an online media service offers video and music downloads. Each download of a song costs $1.2. Each download of a video costs 4 t
IceJOKER [234]
She can buy 26 songs after purchasing 10 videos
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3 years ago
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2x+6>2and 5x< 6 + 2x
LiRa [457]

Answer:

-2 > x < 2

Step-by-step explanation:

Given that:

2x + 6 > 2

Subtracting 6 from both sides:

2x + 6 -6 > 2-6

2x > -4

Dividing by 2 on both sides:

x > -2

For second equation:

5x< 6 + 2x

Subtracting 2x from both sides:

5x - 2x < 6 + 2x -2x

3x < 6

Dividing by 3 on both sides:

x < 2

Result: -2 > x < 2

8 0
3 years ago
Juan has a smartphone data plan that costs $50 per month that includes 6GB of data, but will charge an extra $40 per GB over the
andrew11 [14]

Answer:

(50+40x) dollars

Step-by-step explanation:

THe fixed cost is $50 (this includes everything and 6GB of data).

Now, for every GB <em>OVER</em> 6 GB he uses, company charges $40 extra.

So, if he used "x" GB EXTRA, his EXTRA cost will be 40 * x = 40x

Thus, his total cost in the month would be fixed cost PLUS the extra, which would be

50 + 40x dollars

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3 years ago
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