Tangent is opposite/adjacent so it would 60/25 which simplifies to 12/5
Answer:
i dont know
Step-by-step explanation:
i dont know
Answer:
°
Step-by-step explanation:
Because the diagonal lines are marked with arrows, we know that they are parallel. The two angles that are marked with measures are same-side interior angles. Same-side interior angles of parallel lines are supplementary, meaning that the sum of their measures is 
°.
Now, with all of this information, we can set up the following equation and solve for 
:
(Simplify LHS by combining like terms)
(Subtract 
from both sides of the equation to isolate )
(Simplify)
(Divide both sides of the equation by 
to get rid of 's coefficient)
° (Simplify)
Hope this helps!
Answer:
21.5cm
Step-by-step explanation:
41,572=4/3*pi*r^3
Work backwards to solve for r
The required plane Π contains the line
L: (-1,1,2)+t(7,6,2)
means that Π is perpendicular to the direction vector of the line L, namely
vl=<7,6,2>
It is also required that Π be perpendicular to the plane
Π 1 : 5y-7z+8=0
means that Π is also perpendicular to the normal vector of the given plane, vp=<0,5,-7>.
Thus the normal vector of the required plane, Π can be obtained by the cross product of vl and vp, or vl x vp:
i j k
7 6 2
0 5 -7
=<-42-10, 0+49, 35-0>
=<-52, 49, 35>
which is the normal vector of Π
Since Π has to contain the line, it must pass through the point (-1,1,2), so the equation of the plane is
Π : -52(x-(-1))+49(y-1)+35(z-2)=0
=>
Π : -52x+49y+35z = 171
Check that normal vector of plane is orthogonal to line direction vector
<-52,49,35>.<7,6,2>
=-364+294+70
=0 ok
