What is the area of to the nearest tenth of a square centimeter? use special right triangles to find the height. show your work.

Step-by-step explanation:

We have been given an image of a 30-60-90 triangle. We are asked to find the area of our given triangle.

First of all, we need to find the height of our given triangle.

In a 30-60-90 triangle, the shorter leg that corresponds to 30 degree angle is units long. The sides corresponding to 60 and 90 degree angles are and respectively.

Since the value of is 5 cm, so the height of our given triangle (corresponding to 60 degree angle) will be:

Upon substituting our given values in area of triangle formula we will get,

Therefore, the area of our given triangle is 21.7 square centimeters.

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3