A 45-45 90 triangle has two lengths that are equal, and the hypotenuse is √2 times those lengths.
Therefore:
Let x = the length of a leg (doesn't matter which one, they are equal)
√2 * x = 24 Divide both sides by √2
x = 24 / √2
To get the radical out of the denominator, multiply the right side by √2/√2
x = 24√2 / 2
x = 12√2 Answer is B
<span>For you: Area = 150 and height = 20
Plugging those into the formula, you get
Multiply .5 and 20:
To get base by itself, divide by 10 on both sides:
The base is 15 cm.</span>
Answer:

Step-by-step explanation:
Circumference is the perimeter of a circle. It can be found using the formula:

However, we are given the radius.
- The radius measures from the center to the edge of the circle.
- The diameter measures from edge to edge through the center.
- So, the diameter is twice the radius, or d=2r
The formula can be rewritten as:

We know the circumference is 25.12 inches.

Let's round pi to 3.14

We want to solve for the radius, so we must isolate it.
Divide both sides by 3.14 because the inverse of multiplication is division.


Divide both sides by 2.


The radius of the disc is <u>4 inches.</u>