For the first die, 5 out of 6 are not 1.
That is 5/6.
For the second die, 3 out of 4 are not 1.
That is 3/4.
Multiply 5/6 by 3/4 to get the probability.
5/6 x 3/4 = 20/72
Simplify once to get 10/36.
Do it again to get 5/18.
In decimal form it is 0.2777 and in percent form it is 27.77%.
Hope this helps!
3 1/2 = 7/2
so y+7/2 = 6
y=6-7/2 = 12-7 / 2 = 5/2 = 2 1/2
Answer: -1
Step-by-step explanation:
First change tan(315) to:
Then evaluate the sine and cosine function. What is the y component of 315 degrees? What is the x component of 315 degrees?
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.
