Answer:
x = 100
Step-by-step explanation:
(x - 20) + x = 180
2x - 20 = 180
<u> + 20 +20</u>
2x = 200
x = 200/2
x = 100
Answer: 20 pages
Step-by-step explanation: 100/5 is 20
Answer:
A x-198,y-99
Step-by-step explanation:
since sin p/h you can say
perpendicular is 99
and hypotenuse is x
sin 30=99/x
x=198
and cos is b/h
base is y
and hypotenuse is x
cos 30=y/198
y-99
Answer:
Equation of tangent plane to given parametric equation is:

Step-by-step explanation:
Given equation
---(1)
Normal vector tangent to plane is:


Normal vector tangent to plane is given by:
![r_{u} \times r_{v} =det\left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\cos(v)&sin(v)&0\\-usin(v)&ucos(v)&1\end{array}\right]](https://tex.z-dn.net/?f=r_%7Bu%7D%20%5Ctimes%20r_%7Bv%7D%20%3Ddet%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Chat%7Bi%7D%26%5Chat%7Bj%7D%26%5Chat%7Bk%7D%5C%5Ccos%28v%29%26sin%28v%29%260%5C%5C-usin%28v%29%26ucos%28v%29%261%5Cend%7Barray%7D%5Cright%5D)
Expanding with first row

at u=5, v =π/3
---(2)
at u=5, v =π/3 (1) becomes,



From above eq coordinates of r₀ can be found as:

From (2) coordinates of normal vector can be found as
Equation of tangent line can be found as:
