What is the surface area of this triangular pyramid?
2 answers:
<em>40.75 m^2</em>
Step-by-step explanation:
The formula for the surface area of a pyramid is:
Since B is the area of the base, we will find the area of the base first. In this case, the base is a triangle.
The formula for the area of a triangle is:
A = 10.75
Now that we have the value of B, we can plug everything into the equation and solve. The cursive L, which means the lateral height, is 4. The number of base sides is 3, which you can just count. Lastly, the base is 5, which is the side of the base triangle.
40.75 m^2
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First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.
If we need the vertex to be at , the equation will contain a
term.
If we start with we have a parabola, concave down, with vertex at
and a maximum of 0.
So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be
We have
Now we only have to fix the fact that this parabola doesn't land at , because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want
such that:
- when we plug
, we have
Plugging these values gets us
As you can see in the attached figure, the parabola we get satisfies all the requests.
Answer:
0
Step-by-step explanation:
given that we roll a fair die repeatedly until we see the number four appear and then we stop.
the number 4 can appear either in I throw, or II throw or .... indefinitely
So X = the no of throws can be from 1 to infinity
This is a discrete distribution countable.
Sample space= {1,2,.....}
b) Prob ( 4 never appears) = Prob (any other number appears in all throws)
=
where n is the number of throws
As n tends to infinity, this becomes 0 because 5/6 is less than 1.
Hence this probability is approximately 0
Or definitely 4 will appear atleast once.