Answer:
Unknown side length is 
C is correct.
Step-by-step explanation:
We are given a right angle triangle whose two sides are 24 and 10.
As shown in figure 24 is longest side. It would be hypotenuse of triangle. 10 would be length of one leg and x would be length of another leg.
It is right angle triangle. Using pythagoreous theorem find out another leg (x)
Pythagoreous theorem:

where, a=x, b=10 and c=24




Thus, Unknown side length is 
Given:
Polynomial is
.
Term
is added in the given polynomial.
To find:
The end behavior of new polynomial.
Solution:
Let,
.
New polynomial is



Highest power of x is 6 which is even and leading coefficient is negative. So,


Both ends of the graph will approach negative infinity.
Therefore, the correct option is A.
Answer:
Answer:
5:6 --> 10:12
Step-by-step explanation:
A good way to think of this is to provide a perspective: there are 5 boys every time there is 6 girls. So if there is 10 boys, that means there would be 12 girls (because 5 *2 = 10 and 6*2 = 12).
tl:dr: 5 *2 = 10 so 6*2 = 12
Answer:
the area of the hexagon is approx. 187.1 in²
Step-by-step explanation:
Picture this regular polygon as being a hexagon made up of six equilateral triangles of side 12 in. We find the area of one such triangle and then multiply that by 6 to obtain the total area of the hexagon.
One such equilateral triangle has three sides all of length 12 in, and all the interior angles are 60°. The height of one such triangle is
h = (12 in)sin 60°, or
√3
h = (12 in) -------- = 6√3 in
2
So, with base 12 in and height 6√3 in, the area of one such equilateral triangle is
A = (1/2)(12 in)(6√3 in) = 36√3 in²
and the total area of the hexagon is 6(36)√3 in², or approx. 187.1 in²