The Pythagorean theorem tells you that for legs a and b, and hypotenuse c this relationship holds:
c² = a² + b²
It can be useful to make a couple of rearrangements of this relation.
c = √(a² +b²)
a = √(c² -b²)
1. c = √(10² + 8²) = √164 = 2√41
2. a = √(26² - 10²) = √576 = 24
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It doesn't matter which leg you call "a" and which one you call "b", unless they are specifically marked on the triangle. Then use the marks you are given.
Due to the symmetry of the paraboloid about the <em>z</em>-axis, you can treat this is a surface of revolution. Consider the curve 
, with 
, and revolve it about the <em>y</em>-axis. The area of the resulting surface is then
But perhaps you'd like the surface integral treatment. Parameterize the surface by
with 
and 
, where the third component follows from
Take the normal vector to the surface to be
The precise order of the partial derivatives doesn't matter, because we're ultimately interested in the magnitude of the cross product:
Then the area of the surface is
which reduces to the integral used in the surface-of-revolution setup.
Answer:
Step-by-step explanation:
Converting 2331 to base 10.
2*93=1458
3*92=243
3*91=27
1*90=1
Adding all to get Ans=172910
Answer:
20%
Step-by-step explanation:
$(200 000/ 250 000) = .8 = 80%, seguís pagando 80% entonces distes un descuento de 20% (100-80=20%)
