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2 years ago

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]2 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]2 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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Two integers, n and p, have a product of -18. What is the largest possible sum of n and p?

Naily [24]

Answer:

Step-by-step explanation:

The two integers could be -1 and 18.

18 + -1 = 17

Any other combination of integers that have a product of -18 would have a smaller sum.

4 0

3 years ago

Process control is nothing more or less than monitoring quality as the work is being performed. Perhaps the most widely adopted

ella [17]

Answer:

a. Grand Mean = 2.799

b. Standard Deviation = 0.01387

c. Standard Error = 0.0016

d. The range with a Z score of 3 = (2.75739, 2.84061)

Step-by-step explanation:

a. Grand mean :

Given that

Sum of 80 values = 223.91

Total observation = 80

Grand mean = 223.91/80 = 2.799

b. With the excel command "STDEV[range of cells]", we get the standard deviation as = 0.01387

c. Standard error = Standard deviation / root of n

$= 0.01387/\sqrt{80}\\ = 0.0016$

d. The range with a Z score of 3 :

lower limit = mean - (3 * SD) = 2.799 - (0.04161) = 2.75739

upper limit = mean + (3 * SD) = 2.799 + (0.04161) = 2.84061

8 0

3 years ago

PLZZZZZZZZZZZZZZZZZZZZZZ HELP!<br><br> -3x+4=-2 show your work!!!

Katyanochek1 [597]

Answer:

x=2

Step-by-step explanation:

5 0

2 years ago

Find the percentage based upon 400 people in the survey. 16%

MA_775_DIABLO [31]

To find a percentage, you the decimal point in the percent two places to the right 16% = 0.16. Then multiply.

0.16 • 400 = 64

16% of 400 = 64

3 0

2 years ago

A 25% vinegar solution is combined with triple the amount of a 45% vinegar solution and a 5% vinegar solution resulting in 20 mi

Murrr4er [49]

Complete Question: A 25% vinegar solution is combined with triple the amount of a 45% vinegar solution and a 5% vinegar solution resulting in 20 milliliters of a 30% vinegar solution.

Write an equation that models this situation and explain what each part represents in the situation. Then solve the equation.

Step-by-step explanation:

let the volume of the 45% vinegar solution be x litres ,

the volume of the 25% vinegar solution be 3x

and the volume of the 5% vinegar solution be y

summation of all gives,

x+3x+y = 20

4x + y = 20

subtracting 4x from both sides to make y the subject of the equation, we have;

y = 20 - 4x

To the concentration:

substituting for the value of x and y into equation x + 3x + y = 20, we have,

.45x + .25(3x) + .05(20-4x) = .3(20)

multiplying through by 100 to make whole figures we have;

45x + 25(3x) + 5(20-4x) = 600

45x + 75x + 100 - 20x = 600

120x - 20x + 100 = 600

100x + 100 = 600

subtracting 100 from both sides, we have;

100x = 600 - 100

100x = 500

dividing both sides by 100,

x = 5.

7 0

3 years ago

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

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