To Find :
How many gallons of a 80% antifreeze solution must be mixed with 100 gallons of 20% antifreeze to get a mixture that is 70% antifreeze.
Solution :
Let, x gallons of 80% antifreeze solution is required :
So,
Therefore, 500 gallons of 80% antifreeze solution is required.
<u><em>Answer:</em></u>
The shorter leg is inches
<u><em>Explanation:</em></u>
The 30°-60°-90° is a special type of right-angled triangles
<u>It has the following special side length:</u>
The length of the side opposite to the 30° is the length of the hypotenuse
The length of the side opposite to the 60° is of the hypotenuse
<u>Now, we know that</u> the lengths of the sides in a triangle are proportional to the angles
<u>This means that</u> the shortest side will be the one opposite to the smallest angles
In our case, the shortest side will be the one opposite to the 30° angle
We are given that the hypotenuse of the triangle is in
<u>From the above:</u>
Shorter leg = leg opposite to 30° = inches
Hope this helps :)