Answer:
n = 36
Step-by-step explanation:
54 is a midsegment and is one half the measure of the third side, that is
3n = 2 × 54 = 108 ( divide both sides by 3 )
n = 36
Answer:
A: 270 ,':)
Step-by-step explanation:
1 is 5 1/4 and the rest I didnt really get, but I tried on 5 and I think it is 5x
First, pull out a factor of
.
Notice that when
(which you can arrive at via the rational root theorem), you have
which means you can pull out a factor of
. Upon dividing you get
The rational root theorem will come in handy again, suggesting that
appears a second time as a root, which means
Now this is more readily factored without having to resort to the rational root theorem. You have
so in fact,
shows up as a root for a third time.
So, you have
Two roots are obvious,
and
(with multiplicity 3). The remaining two are given by
Answer: 117.45 ft²
Step-by-step explanation:
There is a general formula for calculate the surface area of a regular pyramid. This is:
Where p is the perimeter of the base, l is the slant height and B is the area of the base.
The perimeter is:
The base is an hexagon, therefore you can find the area by using the formula for the area of a regular polygon:
The slant height can be calculated with Pythagorean theorem. The hypotenuse is the slant height and the other legs are 6ft and:
Then:
Then, the surface area is: