I have a solution here wherein instead of A(3) it is A(4):
<span>Plugging the numbers into the equation we get 4x4x3.14 which is 50.24
</span>
I hope you could use my method for solving the A(4) in solving the A(3)
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
A. Since we know that
![h](https://tex.z-dn.net/?f=h)
is the altitude a football will reach t seconds after it is kicked, we are going to replace the altitude
![h=16](https://tex.z-dn.net/?f=h%3D16)
in our equation and solve for
![t](https://tex.z-dn.net/?f=t)
. If the equation has any positive real solutions, we can conclude that the given value is possible.
We know from our problem that the given value is
![h=16](https://tex.z-dn.net/?f=h%3D16)
, so lets replace that value in our equation and solve for
![t](https://tex.z-dn.net/?f=t)
:
![h=-16t^2+35t](https://tex.z-dn.net/?f=h%3D-16t%5E2%2B35t)
![16=-16t^2+35t](https://tex.z-dn.net/?f=16%3D-16t%5E2%2B35t)
![16t^2-35t+16=0](https://tex.z-dn.net/?f=16t%5E2-35t%2B16%3D0)
Solving for
![t](https://tex.z-dn.net/?f=t)
:
![t=1.54](https://tex.z-dn.net/?f=t%3D1.54)
or
![t=0.65](https://tex.z-dn.net/?f=t%3D0.65)
We can conclude that
the given value, h=16, is possible. In fact, the ball reaches that height two times: at
![t=0.65](https://tex.z-dn.net/?f=t%3D0.65)
and
![t=1.54](https://tex.z-dn.net/?f=t%3D1.54)
.
B. Just like before, we are going to replace the given value,
![h=20](https://tex.z-dn.net/?f=h%3D20)
, in our equation
![h=-16t^2+35t](https://tex.z-dn.net/?f=h%3D-16t%5E2%2B35t)
, and then, we are going to solve for
![t](https://tex.z-dn.net/?f=t)
to check if the given value is possible. If the equation has any positive real solutions, we can conclude that the given value is possible.
![h=-16t^2+35t](https://tex.z-dn.net/?f=h%3D-16t%5E2%2B35t)
![20=-16t^2+35t](https://tex.z-dn.net/?f=20%3D-16t%5E2%2B35t)
![16t^2-35t+20=0](https://tex.z-dn.net/?f=16t%5E2-35t%2B20%3D0)
Solving for
![t](https://tex.z-dn.net/?f=t)
:
![t= \frac{35+i \sqrt{55}}{32}](https://tex.z-dn.net/?f=t%3D%20%5Cfrac%7B35%2Bi%20%5Csqrt%7B55%7D%7D%7B32%7D%20)
or
![t= \frac{35-i \sqrt{55}}{32}](https://tex.z-dn.net/?f=t%3D%20%5Cfrac%7B35-i%20%5Csqrt%7B55%7D%7D%7B32%7D%20)
Since the equation doesn't have any real solutions, we can conclude that
the given value, h=20, is not possible.
By definition we have:
A triangular pyramid (also called tetrahedron) is a polyhedron whose surface is formed by a base that is a triangle and triangular lateral faces that converge in a vertex that is called apex (or apex of the pyramid).
It will be composed, therefore, by 4 faces, the triangular base and three lateral triangles that converge at the vertex.
Thus, the surface area is:
As = 4 * (50.5) = 202 in ^ 2
Answer:
The total surface area of the triangular pyramid is:
202 in ^ 2
48.85177 then round it to whatever is necessary :)