Mathematics: Please help (10 points) A bill for dinner at a restaurant is $98.87. A 15% tip for the server is added to the bill. What is the total amount of the bill? A $100.37 B $109.26 $113.70 D $113.87

The value of tan(Y) is Step-by-step explanation:The image attached shows the triangle that models this problem.Observe that .The tangent function is defined as: In this case, we haveBut, we don t knot the length of both legs, so we need to find them using other trigonomtric reasons.Then, Now we know the length of both legs, we can find the tangent of angle YTherefore, the value of tan(Y) is...

Please help (10 points) A bill for dinner at a - id1011233027, itsmsjojobabyy5716

Ответ:

bobbiemaye6793

20.06.2020

Mathematics

The value of tan(Y) is

$\frac{1}{\sqrt{3} }$

Step-by-step explanation:

The image attached shows the triangle that models this problem.

Observe that $\angle Y = 30\°$ .

The tangent function is defined as: $tan\theta=\frac{Opposite \ Leg}{Adjacent \ Leg}$

In this case, we have

$tan (\angle Y)=\frac{XZ}{YZ}$

But, we don't knot the length of both legs, so we need to find them using other trigonomtric reasons.

$cos(\angle Y)=\frac{ZY}{4}\\ ZY=4 \times cos (30\°)\\ZY=4\frac{\sqrt{3} }{2}\\ ZY=2\sqrt{3}$

Then,

$sin(\angle Y)=\frac{XZ}{4}\\ XZ=4 \times sin(30\°)\\XZ=4 \times \frac{1}{2}\\ XZ=2$

Now we know the length of both legs, we can find the tangent of angle Y

$tan(30\°)=\frac{2}{2\sqrt{3} } \\\frac{1}{\sqrt{3} }= \frac{1}{\sqrt{3} }$

Therefore, the value of tan(Y) is $\frac{1}{\sqrt{3} }$

$Given right triangle xyz, what is the value of tan(y)? one-half startfraction startroot 3 endroot o$

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Please help (10 points)
A bill for dinner at a restaurant is $98.87. A 15% tip for the server is added
to the bill. What is the total amount of the bill?
A $100.37
B $109.26
$113.70
D $113.87

Ответ:

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