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3 years ago

For questions x-x perform the indicated operation. Don't forget to determine the sign of your answer first.

Mathematics

2 answers:

NeX [460]3 years ago

7 0

77.94 - 77.94 + 42.09 = 42.09
that's correct?

Archy [21]3 years ago

7 0

77.94 - 77.94 equals zero because you are subtracting a number from itself.

Then you add 0 to 42.09 to get 42.09.

77.94 - 77.94 + 42.09 =

= 0 + 42.09

= 42.09

The sign of the answer is positive since you are adding a positive nunmber (42.09) to zero.

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Svetradugi [14.3K]

Answer:

x = 1

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Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

The adjacent to the angle ∠60° is 1/2.

The opposite to the angle ∠60° is y.

The hypotenuse = x

Determining the value of x:

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

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$cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}$

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$2x=2$

Dividing both sides by 2

$\frac{2x}{2}=\frac{2}{2}$

Simplify

$x=1$

Thus, the value of hypotenuse x is:

x = 1

Determining the value of y:

Using the trigonometric ratio

sin 60° = opposite / hypotenuse

As we have already determined the value of hypotenuse x = 1

substituting opposite = y and hypotenuse = 1

sin 60° = y/1

y = 1 × sin 60°

$y=\frac{\sqrt{3}}{2}$ ∵ $\sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}$

Therefore, the value of y is:

$y=\frac{\sqrt{3}}{2}$

Summary:

x = 1

$y=\frac{\sqrt{3}}{2}$

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