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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

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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Calculate cos(480°) and sin(480°).

hram777 [196]

Answer:

$\cos(480^\circ)=-\dfrac{1}{2}$

$\sin(480^\circ)=\dfrac{\sqrt{3}}{2}$

Step-by-step explanation:

Calculate the value of trigonometry function.

$\cos(480^\circ)$ and $\sin(480^\circ)$

Split the angle between 0 to 90° using trigonometry formula.

$\Rightarrow \cos(360^\circ+120^\circ)$

$\Rightarrow \cos(120^\circ)$ $\because \cos(360+\theta)=\cos\theta$

$\Rightarrow \cos(180^\circ-60^\circ)$ $\because 120=180-60$

$\Rightarrow -\cos(60^\circ)$ $\because \cos(180-\theta)=-\cos\theta$

$\Rightarrow -\dfrac{1}{2}$

Therefore, cos(480°) = -0.5

$\Rightarrow \sin(360^\circ+120^\circ)$

$\Rightarrow \sin(120^\circ)$ $\because \sin(360+\theta)=\sin\theta$

$\Rightarrow \sin(180^\circ-60^\circ)$ $\because 120=180-60$

$\Rightarrow \sin(60^\circ)$ $\because \sin(180-\theta)=\sin\theta$

$\Rightarrow \dfrac{\sqrt{3}}{2}$

Therefore, sin(480°) = 0.866

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4 years ago

6m squared minus 13m plus 6

hichkok12 [17]

The expression is not factorable with rational numbers. This works if you’re doing The quadratic formula.
m
=
13
±
√
145
2

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3 years ago

Juli2301 [7.4K]

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3 years ago

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Lori works as a cartoonist for a teen magazine. The time she spends sketching is given by the equation m = 12s, where m is the n

Alina [70]

M=12(3/4)
m=12/1 x 3/4
=9 minutes

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3 years ago

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"to find x in part a, you would need" to solve the equation x 2 – 25 =0. wh

musickatia [10]

X2 - 25 = 0

Add 25 on each side.

x2 = 25

Divide by 2 on each side.

x = 12.5

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3 years ago