Answer:
<em>The perimeter is 72 units and the area is 149 square units.</em>
Step-by-step explanation:
has coordinates
and 
Using the distance formula.........
Length of side 
Length of side 
Length of side 
So, the perimeter of the triangle will be:
units. <em>(Rounded to the nearest unit)</em>
The height of the triangle for the corresponding base
is 8.89 units.
<u>Formula for the Area of triangle</u>, 
So, the area of the
will be:
square units. <em>(Rounded to the nearest unit)</em>
Answer:
[-5, 4) ∪ (4, ∞)
Step-by-step explanation:
Given functions:


Composite function:
![\begin{aligned}(f\:o\:g)(x)&=f[g(x)]\\ & =\dfrac{1}{\sqrt{x+5}-3} \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%28f%5C%3Ao%5C%3Ag%29%28x%29%26%3Df%5Bg%28x%29%5D%5C%5C%20%26%20%3D%5Cdfrac%7B1%7D%7B%5Csqrt%7Bx%2B5%7D-3%7D%20%5Cend%7Baligned%7D)
Domain: input values (x-values)
For
to be defined:


Therefore,
and 
⇒ [-5, 4) ∪ (4, ∞)
Answer: the last option.
A binomial experiment is an experiment with only two possible outcomes.
In the first option, there is three possible outcomes (i.e. A, B, C)
In the second option, there is four poissible outcomes (i.e. ace, king, queen, jack)
The third option has six possible outcomes (i.e. six faces of a die)
In the last option, there are two possible outcomes (i.e. '2 number cubes')