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3 years ago

A circle with center at (-2,2) passes through (7,2). Find the circumference and area of the circle in terms of .

Mathematics

1 answer:

Karolina [17]3 years ago

8 0

A=π(4.5)^2
A=<span>π(20.25)
A=63.585 units^2

C=</span><span>πd
C=(4.5)
C=14.13 units</span>

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Which expression is equivalent to cos120°? ° cos240° cos300° cos420°?

Anon25 [30]

Answer:

Option 1 - cos 240°

Step-by-step explanation:

Given : Expression $\cos 120^\circ$

To find : Which expression is equivalent to given expression ?

Solution :

The given expression is equivalent to those whose value is same as $\cos 120^\circ$

Value of

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

$\cos 120^\circ= -\cos 60$

$\cos 120^\circ= -\frac{1}{2}$

value of cos in second quadrant is negative.

Option 1 : $\cos 240^\circ$

$\cos 240^\circ= \cos (180+60)$

$\cos 240^\circ= -\cos 60$

$\cos 240^\circ= -\frac{1}{2}$

Equivalent

Option 2 : $\cos 300^\circ$

$\cos 300^\circ= \cos (360-60)$

$\cos 300^\circ= \cos (2\times 180- 60)$

$\cos 300^\circ= \cos (60)$

$\cos 300^\circ= \frac{1}{2}$

Not equivalent

Option 3 : $\cos 420^\circ$

$\cos 420^\circ= \cos (360+60)$

$\cos 300^\circ= \cos (2\times 180+60)$

$\cos 420^\circ= \cos 60$

$\cos 420^\circ= \frac{1}{2}$

Not equivalent

Therefore, Correct option is 1.

$\cos 120^\circ=\cos 240^\circ=-\frac{1}{2}$

5 0

3 years ago

Read 2 more answers

Write each percent as a fraction or mixed number

Flauer [41]

Answer:

1 = 21/100

2 = 1/20

3 = 7/50

4 = 13/10 or 1 3/10

5 = 1/8

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20000(0.85)⁶

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