Well you're correct in saying that it's because it's a regular hexagon and so if one triangle is an equilateral, then all of them are. If you want a mathematical way to prove it, then if the point around N is 360° because it's around a point, then you can divide 360 by 6 (6 triangles) to get 60°. That is the angle of ENX, and therefore it is an equilateral triangle because all angles in an equilateral triangle are 60°. I hope this helps!
<u>Given</u><u> info</u><u>:</u><u>-</u><u> </u>What number should [(-5/3)³]^-3 be multiply obtain (-3/5)⁴ ?
<u>Explanation</u><u>:</u><u>-</u>
Given number = [(-5/3)³]^-3
Let the required number be X
On multiplying [(-5/3)³]^-3 with X
⇛ [(-5/3)³]^-3 × X
According to the given problem
The result = (-3/5)⁴
⇛ [(-5/3)³]^-3 × X = (-3/5)⁴
⇛ (-5/3)^(3×-3) × X = (-3/5)⁴
Since (a^m)^n = a^mn
⇛ (-5/3)^-9 ×X = (-3/5)⁴
⇛(-3/5)⁹ ×X = (-3/5)⁴
Since a^-n = 1/a^n
⇛X = (-3/5)⁴/(-3/5)⁹
⇛X = (-3/5)^(4-9)
Since a^m / a^n = a^(m-n)
⇛ X = (-3/5)^-5
⇛ X = (-5/3)⁵
Since a^-n = 1/a^n
Therefore, X = (-5/3)⁵
<u>The required number for the given problem is (-5/3)</u><u>⁵</u><u>.</u>
Answer:
Step-by-step explanation:
Given that,
The perimeter of the base of pyramid, P = 10.7 ft
The height of the pyramid, h = 9.8 ft
We need to find the volume of the pyramid.
The perimeter of square is given by :
4s = 10.7, s is side
s = 2.675 ft
Now the volume of pyramid is given by :
So, the volume of the pyramid is equal to 
.
The problem given above can be solved through the concept of permutation because of the importance of the arrangements. This may be solved through calculators directly by keying in,
10P5
That is, the permutation of 10 taken 5. The answer to this permutation is 30,240.
Answer:
It is the rate of change (how far it goes up or how far it goes down)
Step-by-step explanation:
The slope of a line is a measure of how fast it is changing. This can be for a straight line -- where the slope tells you exactly how far up (positive slope) or down (negative slope) a line goes while it goes how far across. Slope can also be used for a line tangent to a curve. Or, it can be for a curved line when doing Calculus, where slope is also known as the "derivative" of a function. Either way, think of slope simply as the "rate of change" of a graph
Example: if you have a slope of 2 your equation would be y=2x+1
You would always do rise over run. rise over run means when you put your slope in a fraction the numerator would always go up or down and the denominator would be run and run means you would go left or right. it all depends on if it is positive or negative.
Hope this helps good luck @(^_^)@
