The figure is the right triangle DEF.
In it, E is the 90° angle, D is the corner over E (this is, DE is the vertical segment or height from the base) and F is the corner to the right of E (f, is the angle and EF is the horizontal segment or base of the triangle).
Then EF is the adjacent leg to the angle f, DE is the opposite leg to the angle f, and DF is the hypotenuse of the triangle.
Given that the angle f is 45°, you know that the triangle is isosceles (45-45-90) and then the two legs have the same length and you can use Pytagorean theorem:
DF^2 = x^2 + x^2 = 2x^2 => x^2 = (DF)^2 / 2
Taking square roots from both sides:
=> x = DF / √2 = 22 / √2 = [22√2] / [(√2)(√2)] = [22√2] / 2 = 11√2
Remember, both legs have the same length.
Answer: 11√2
Answer:
Step-by-step explanation:
V=4/3πr³
v = 1.33*3.142*9³
v = 3046.39in³
New scale = 3046.39*1.5
= 4,569.59in³
Given:
To solve, we need to get n isolated on one side. To do this, subtract 10 from both sides. This will cancel the +10 on the right side and give us -12 of the left, leaving us with:
or 
If you want to check your answer, plug in -12 for n.
The statement is true, therefore, 
.
