Answer:
S = 8
Each side of a face is 8 units.
Step-by-step explanation:
The surface area of the cube is 384 units.
One face of the cube has an area of s^2
A cube has 6 faces
6s^2 = 384 Divide by 6
s^2 = 384 / 6
s^2 = 64 Take the square root of both sides
sqrt(s^2) = sqrt(64)
s = 8
Answer:
140
Step-by-step explanation:
Consider a square for just a second. It has 4 angles each of 90 degrees. The total number of degrees in a square is 4 * 90 = 360.
It should be at least an appeal to your intuition to say that a quadrilateral has a total of 360 degrees.
Therefore the ratio you have been given must have 4 angles that add to 360.
2x + 3x + 6x + 7x = 360
18x =360
x = 20
So the 4 angles are
2* 20 = 40
3*20 = 60
6*20 = 120
7*20 = 140
Total 360
The largest angle is 140
25 + 100i is correct because -5 squared is 25 and the the square root of -100 is 100i or 10i in its simplest form.
Answer:
As eq of line passing through 2 points is
y-y1 = (y2-y1)/(x2-x1) ][ x -x1)
where (X1,y1)( x2, y2) denotes points lying on line
substitute (X1 ,y1) by( -1,-2) and (X2,y2) by( 2,4)
y+2 = 6/3 )( x+1)
y+2= 2x +2
y = 2x is required equation
Given:
The equation is:
To find:
The value of n in terms of x.
Solution:
We have,
It can be written as
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)
On comparing the exponents, we get
Add 1 on both sides.
Divide both sides by 2.
Therefore, the value of n is terms of x is 
.
