Answer:
Step-by-step explanation:
tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\
where~x~is~an~integer.
Answer:
The scaled surface area of a square pyramid to the original surface area.
The scaled area of a triangle to the original area.
Step-by-step explanation:
Suppose that we have a cube with sidelength M.
if we rescale this measure with a scale factor 8, we get 8*M
Now, if previously the area of one side was of order M^2, with the rescaled measure the area will be something like (8*M)^2 = 64*M^2
This means that the ratio of the surfaces/areas will be 64.
(and will be the same for a pyramid, a rectangle, etc)
Then the correct options will be the ones related to surfaces, that are:
The scaled surface area of a square pyramid to the original surface area.
The scaled area of a triangle to the original area.
Acute scalene because they are all smaller than 90 degrees but different lengths
Answer:
slope = - 
Step-by-step explanation:
Differentiating implicitly with respect to x
2x + 2y 
= 0
2y = - 2x
= - 
= - 
is the measure of the slope of the tangent
rearrange equation to find corresponding y-coordinate of x = - 2
y² = 16 - 4 = 12 = 2
⇒ y = ± 2
using x = - 2, y = - 2, then
= - 
= -
