This question boils down to this:
"What is the diagonal of a square with a side length of 90 ft?"
The key to this question is the properties of squares.
All of the angles in a square are right, (90°) but that diagonal is going to bisect two of those into 45° angles.
Now we have two triangles, each with angle measures of 45°, 45°. and 90°.
(an isoceles right triangle)
This 45-45-90 tirnalge is one of two special triangles (the other being the 30-60-90) and here is its special property: the sides opposite these angles can be put as x, x, and x√2 respectively. Why? Well, we know that our triangle is isoceles (the congruent base angles ⇔ congruent sides) and so we call those x...by the Pythagorean theorem...a² + b² = c²...2x² = c²...x√2 = c!
In our case here, that diagonal, being the hypotenuse of our triangle, is going to be 90√2 feet, or approximately 127.3 feet.
7 ft 5 in I need to type to give you an answer
Distributive Property:
The distributive property tells us how to solve expressions in the form of a(b + c).
In this question we have to find two numbers that add up to give 105,
Now replacing 105 by 100 + 5, rewriting the expression as :
distributing 327 over 100 and 5
here a=327, b =100 and c=5
Answer:
Answer:
$10.50, the difference is $4.50
