Answer:

Step-by-step explanation:
we know that
The surface area of the regular pyramid is equal to the area of the triangular base plus the area of its three triangular lateral faces
step 1
Find the area of the triangular base
we know that
The triangular base is an equilateral triangle
so
The area applying the law of sines is equal to


step 2
Find the area of its three triangular lateral faces
![A=3[\frac{1}{2}bh]](https://tex.z-dn.net/?f=A%3D3%5B%5Cfrac%7B1%7D%7B2%7Dbh%5D)
we have

Find the height of triangles
Applying the Pythagorean Theorem

solve for h



substitute

step 3
Find the surface area
Adds the areas

Round to the nearest tenth

Answer:
The volume of the triangular prism is 
Step-by-step explanation:
we know that
The volume of the triangular prism is equal to

where
B is the area of the triangular face
L is the length of the prism
step 1
Find the area of the triangular face
The area of a triangle is equal to

we have

substitute

step 2
Find the volume
we have


substitute in the formula of volume


We are given frequency distribution in the question
to find the probability distribution from frequency distribution we need to divide frequency by total number of observations.
Here, total number of observations are 6+10+7+5=28
so , we will have probability distribution table as
X 0 1 2 3
P(x) .21 .35 .25 .17
probability distributiuon describes all possible values that a random variable can take within a given range.
frequency distribution is the presentation that presents number of observation in given interval.
A tad more than 29 years, but that depends on the number of times it is being compounded
X+14 because (look at the picture)