Answer:
<h2><em>
sinθ - 4cosθ = 0</em></h2>
Step-by-step explanation:
Given the equation of a plane in rectangular coordinates to be y = 4x.
The cylindrical coordinates of the axis is as given below;
x = rcosθ
y = rsinθ
z = z
Since there is no z coordinate in the equation of the plane given, we will only substitute x = rcosθ and y = rsinθ into the equation y = 4x and simply the result as shown;
y = 4x
rsinθ = 4( rcosθ)
rsinθ = 4rcosθ
sinθ = 4cosθ
sinθ - 4cosθ = 0
<em>Hence the equation for the plane in cylindrical coordinate is expressed as sinθ - 4cosθ = 0</em>
Answer:
w = -6.5
Step-by-step explanation:
We want to get rid of the coefficient of w so that we can solve for w. To do that, let's divide both sides of the equation by -2. When we do so, we get -13/2 = w. Hope this helps!
Answer:
p=3
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
minus 3 twice
-3 times 2
Step-by-step explanation:
the surface area of a figure is always the result of a combination of multiplication(s) of 2 dimensions (side lengths).
and the volume of 3 dimensions (side lengths).
"similar figures" means that they share the same angles. and that there is one scaling factor that applies to all sides (and all other lines like heights).
so, no matter what sides are used to calculate the surface areas and the volumes, it is the same scaling factor used for each of them.
in a multiplication of 2 sides (for the area) the scaling factor is therefore applied twice and hence squared, in a multiplication of 3 sides it is applied 3 times and therefore cubed.
let's call the scaling factor f.
1472 × f³ = 2875
and then
928 × f² = large S.A.
let's use the first to get f :
1472 × f³ = 2875
f³ = 2875 / 1472 = (125 × 23) / (64 × 23) = 125/64
f = 5/4
f² = (5/4)² = 5²/4² = 25/16
large S.A. = 928 × 25/16 = 58 × 25 = 1450 m²
