A cube, is made off 6 squarial faces, so all faces on that cube, are squares, the front, back, left, right, top and bottom.
a square has all equal sides, and also all right angles, so all angles in a square are 90°. Let's say the sides are "x" long.
now, if we run a plane on that cube diagonally, check the picture below, the diagonal side at the bottom, by usin the 45-45-90 rule as you see it there, will be x√2.
let's keep in mind that, "x" is opposite side of that angle θ, and then x√2 will be the adjacent side of it.
and we can use those two to get the tangent and then the inverse tangent to get the value, as you see it in the picture.
if you need the angle in radians, run the inverse tangent again, just make sure your calculator is in radians mode.
Answer:

Step-by-step explanation:
Substitute the second equation into the first one:

Substitute
into the second equation:


Answer:
Step-by-step explanation:
You have 7,200 bags of snickers
Twix is 2/3 that of snickers
Hershey's is ?
First you need to find out how much Twix you have.
You will need to multiply as a fraction: 2/3*7,200/1 (2 over 3 multiplied by 7,200 over 1)
Next multiply the two numerators together (numerators are the numbers on top of a fraction and the numbers on the bottom of the fraction are called denominators)
2 * 7,200 = 14,400
Next multiply the denominators together:
3 * 1 = 3
So now your fraction is 14,400/3 (14,400 over 3)
Now divide the denominator into the numerator:
14,400 divided by 3 = 4,800
So 2/3 of the 7,200 bags of Snickers equals 4,800 Twix
Now take away the Twix from the Snickers
7,200 - 4,800 = 2,400
So now all up you have:
7,200 bags of snickers
4,800 bags of Twix
2,400 bags of hershey's
=)
Answer:
48 - 8c
Step-by-step explanation:
let c be the number of coworkers
48 - 8c would be the expression because it starts with 48 and for every coworker 8 is subtracted.
Answer:
base of the triangle = 12 m
Explanation:
Area of the triangle = 1/2 * base * height
We are given that:
area = 54 m^2
height = 9 m
Substitute in the equation to get the base as follows:
Area of the triangle = 1/2 * base * height
54 = 1/2 * base * 9
108 = 9*base
base = 12 m
Hope this helps :)