3 years ago

Use the unit circle to find the inverse function value in degrees.

Mathematics

1 answer:

jeka57 [31]3 years ago

6 0

Using the unit circle:
tan^(-1) (√3 ) = π/ 3 = 60° ( because tan 60° = √3)
Answer : C ) 60 degrees

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The length of a rectangle is 7 more than the width the area is 744 square centimeters find length and width of rectangle

andrezito [222]

Answer:

$l=31\ cm\\\\w=24\ cm$

Step-by-step explanation:

The formula that is used to calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

You know that the area of that rectangle is:

$A=744\ cm^2$

And, according to the exercise, its lenght is 7 more than its width; then:

$l=w+7$

Then, you can make the corresponding substitution into the formula $A=lw$ :

$744=(w+7)w$

Simplify:

$744=w^2+7w\\\\w^2+7w-744=0$

Factor the equation. Find two numbers whose sum is 7 and whose product is -744. These are 31 and -24.

Then, you get:

$(w-24)(w+31)=0\\\\w_1=24\\\\w_2=-31$

The width of the rectangle is the positive value:

$w=24\ cm$

Then, the lenght is:

$l=24+7\\\\l=31\ cm$

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THEOREM:

Angle sum property —: The sum of interior angles of a triangle is 180°.

ANSWER:

Let the missing angle be x.

By angle sum property,

∠x + 20° + 80° = 180°
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∠x = 180° – 100°
∠x = 80°

So, <u>Correct choice</u> - [C] 80°.

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