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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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PLEASE HELP
elixir [45]

Answer:

Ratio states that it shows the relative sizes of two or more values.

i,e a to b or a: b or \frac{a}{b}

(1)

Given the statement: A zoo has 17 monkeys and 12 chimpanzees

Write this situation in three ways, comparing the first quantity to the second quantity.

By definition of ratio:

Ratio in three ways are:

17 to 12

17 : 12

\frac{17}{12} or we can write this as 17 over 12.

therefore, Option B is correct.

(2)

As per the statement: In Largo City, about one in every nine homes contains four televisions

Write this situation in three ways in the form of ratio, comparing the first quantity to the second quantity.

By definition of ratio:

Ratio in three ways are:

4 to 9

4 : 9

\frac{4}{9}

therefore, only options C is correct.

(3)

write three ratios for 7 over 35

By definition of ratio;

We have;

\frac{7}{35}

Divide both numerator and denominator by 7 we have;

\frac{1}{5}               .....[A]

⇒ \frac{7}{35} =\frac{1}{5}

Multiply both numerator and denominator by 2 in A we get;

\frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{1}{10}

Similarly,

Multiply both numerator and denominator by 3 in A, we get

\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}

Therefore, 3 ratios equal to  7 over 35 are;

\frac{1}{5} or we can write it as one-fifth

\frac{2}{10} or two -tenths

\frac{3}{15} or three over fifteen

hence, Option D is correct.

(4)

Given the statement: Jake sold 28 tickets to the school fair, and Jeanne sold 21 tickets

Number of ticket Jake sold = 28 ticket.

Number of ticket Jeanne sold = 21 ticket.

To find: Number of ticket Jeanne sold to number of ticket Jake sold.

By definition of ratio

⇒\frac{21}{28}

Therefore, the ratio in simplest form is, \frac{21}{28}


6 0
3 years ago
Read 2 more answers
A: value of g(2) is larger than value of g(-4)
loris [4]

Answer:

g(2) = 4(2) - 5 \\  = 8 - 5 \\  = 3 \\  \\ g( - 4) = 4( - 4) - 5 \\  =  - 16 - 5 \\  =  - 21

The answer is A

8 0
3 years ago
Select the procedure that can be used to show the converse of the
Vera_Pavlovna [14]

Answer:

The correct option is C

Step-by-step explanation:

I attached an image that forms the complete question.

The converse Pythagorean theorem states that, "If the square of the longest side of a triangle is equal to the square of the other two sides, then the triangle is a right triangle."

That is if c is the longest side of a triangle and then a and b are the other sides, then if,

c² = a² + b², the triangle is a right triangle.

Looking at all the options, option C fits the theorem well. Because

3² + 4² = 5² implies the triangle is a right triangle and the converse theorem is established.

The option D also looks close, but it's not correct because you can just draw any two sides and put the right angle in between them. The longest is always the part of the triangle that is opposite to the right angle, 90°. If for instance, you draw 3 and 5 then put the right angle in between them, 4 will take the position of the longest side which is wrong.

Therefore, the correct option is c.

7 0
3 years ago
Write the equation of the line perpendicular to y=1/5x-11 passing through the point (0,-8)
Lilit [14]

Step-by-step explanation:

the slope of a line function is always the factor of x.

in our case here : 1/5

it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

in our case that means y increases by 1 for every increase of x by 5.

now, the perpendicular slope simply changes x and y upside-down and flips the sign.

so, here the perpendicular slope is : -5/1 = -5

the line function looks therefore like

y = -5x + b

b is the y-intercept, and we get it by using the coordinates of the point for x and y :

-8 = -5×0 + b = b

so, the full line function is

y = -5x - 8

5 0
3 years ago
2.<br> Which expression is equivalent to Xy 2/9
Lelu [443]

Answer:

4/18 or divide both by anything or times it

Step-by-step explanation:

3 0
3 years ago
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