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3 years ago

I have a 2 in the tens place. when you add 18 to me, you get 39. what number am I ?

Mathematics

1 answer:

SIZIF [17.4K]3 years ago

8 0

X=number
x+18=39
minus 18 both sides
x+18-18=39-18
x+0=21
x=21
the number is 21
and it has 2 in tens palce

21

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vodomira [7]

Answer and Explanation:

Using trig ratios, we can express the given values of sin u and tan v as shown below

$\begin{gathered} \sin u=\frac{opposite\text{ of angle u}}{\text{hypotenuse}}=\frac{2}{5} \\ \tan v=\frac{opposite\text{ of angle v}}{\text{hypotenuse}}=\sqrt[]{21} \end{gathered}$

So we can go ahead and label the sides of the triangle as shown below;

We can find the value of u as shown below;

$\begin{gathered} \sin u=\frac{2}{5} \\ u=\sin ^{-1}(\frac{2}{5}) \\ u=23.6^{\circ} \end{gathered}$

We can find v as shown below;

$\begin{gathered} u+v+90=180\text{ (sum of angles in a triangle)} \\ v+23.6+90=180 \\ v=180-113.6 \\ v=66.4^{\circ} \end{gathered}$

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