This is the concept of geometry, the total sum of angles in a hexagon is given by:
(n-2)*180
=(6-2)*180
=720
the size of each interior angle will be:
120°
N/B
the exterior and interior angles are supplementary to each other.
Therefore the size of the exterior angle will be:
180-120
=60°
the answer is A
Answer:
0.5
Step-by-step explanation:
Ok, so it's asking for what (1/(x-1) - 2/(x^2-1)) approaches as x approaches 1. Before we deal with the limit, let's simplify the inside.
We want to combine the two fractions into one fraction. Therefore, we need a common denominator.
1/(x-1) is equal to (x+1)/((x+1)(x-1) is equal to (x+1)/(x^2-1).
the inside expression is therefore (x+1)/(x^2-1) - 2/(x^2-1)
which simplifies to (x-1)/(x^2-1).
and that simplifies further to 1/(x+1).
Now this is a continuous function when x = 1, so to find the limit as x approaches 1 of this function, we can by definition just plug 1 in.
limx->1 (1/(x+1)) = 1/2.
The reason why we didn't just plug 1 in at the beginning is because the function wasn't continuous when x was 1.
Answer:
i love you
Step-by-step explanation:
hhehehehhe
Answer:
1650
Step-by-step explanation:
The shape is a pyramid on top of a prism.
Volume of a pyramid is V = ⅓ Ah, where A is the area of the base and h is the height of the pyramid.
Volume of a prism is V = Ah, where A is the area of the base and h is the height of the prism.
The base of both shapes is a right triangle. The area is:
A = ½ bh
A = ½ (22) (10)
A = 110
The height of the prism is 6. The height of the pyramid is 33 − 6 = 27. The total volume is:
V = (110) (6) + ⅓ (110) (27)
V = 1650
