If the sin of angle x is four fifths and the triangle was dilated to be two times as big as the original, what would be the value of the sin of x for the dilated triangle? Clue: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces.

Question

Answer for Blank 1:

Answer 1

The value of the sine of angle x does not change when a triangle is dilated. The sine function, which is the ratio of the side opposite the angle to the hypotenuse, remains the same regardless of the size of the triangle.

Since the original sine of angle x is given as \( \frac{4}{5} \), the sine of angle x for the dilated triangle will also be \( \frac{4}{5} \).

So, the answer for Blank 1 is:

\(\frac{4}{5}\)