Parameterize this surface (call it ) by
with and . The limits on should be obvious. We find the upper limit for by solving for where the sphere and cone intersect:
Take the normal vector to to be
(orientation does not matter here)
Then the area of is
Answer: C: -10
Step-by-step explanation:
An output is another word for y. If we set y to -15, we can solve for x, or the input variable.
Subtract 5 from both sides of the equation.
Divide both sides of the equation by 2.
Therefore, x = -10.
Hope this helps!
Answer:
15/17
Step-by-step explanation:
in the described scenario AB is the vertical leg of the right-angled triangle, that can be seen as the trigonometric triangle of the angle at C.
this triangle would be inscribed inside a circle with the center at C and the radius being BC.
the sine value of an angle is the length of the vertical leg of the trigonometric triangle inside the normed circle with radius 1.
if inside a larger circle, to get the sine value, these lengths must be scaled back to the norm of radius = 1.
and that is what the sine ratio is : the actual length of the vertical leg scaled to the radius of 1 (by dividing it by the actual radius) :
sin(theta) = AB / BC = 15/17
FYI
sin(theta) = 15/17 = 0.882352941...
and the angle theta is then 61.92751306...°
cos(theta) = CA / BC = 8/17 = 0.470588235...
and of course, this gives us the same angle.
Answer: 25
Step-by-step explanation: 350=35*10=7*5*5*2=14*5^2
Answer:
A numerical coefficient is a constant multiplier of the variables in a term. so it would be 3x cause it has a number and a variable.
a variable is a symbol which functions as a placeholder for varying expression or quantities, so x is the variable.
a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. so it would be the 2
Step-by-step explanation: