Answer:
A=0.62
B=
C=
Find the third angle of a right triangle if the measure of one of the angles is 25º.
2 answers:
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Answer:
a) (8,8,-6)
b) 4x+4y+3z = -3
Step-by-step explanation:
a)
The surface is given by the equation
f(x,y,z) = 0 where
The gradient of this function is the vector
If we evaluate it in the point P = (-2,2,1) we obtain the point
(8,8,-6)
b)
The vectors with their tails at P are of the form
(-2,2,1)-(x,y,z) = (-2-x, 2-y, 1-z)
as they must be orthogonal to the gradient, they must be orthogonal to the vector (8,8,6) so their inner product is 0
and the equation of the desired plane is
4x+4y+3z = -3
Answer:
Volume is increased in a factor of 8. The volume is increased from to
.
Step-by-step explanation:
The formula for the volume of the rectangular prism is:
Where:
- Width
- Height
- Length
If dimensions are doubled, then volume is increased in a factor of 8:
The volume is increased from to
.