Let us say that y = vertical height and z =
hypotenuse <span>
dz/dt = 600
dy/dt = 0 since y (altitude) is constant
sin(θ) = 2/3
Calculating for the angle: θ = arcsin(2/3) = 0.729728 radians
sin(θ) = y/z
z sin(θ) = y
<span>We then differentiate the two sides with respect to time t:
dz/dt sin(θ)+ z cos(θ) dθ/dt = dy/dt
(600) (2/3) + (3) cos (0.729728) dθ/dt = 0
400 + [3 / cos (0.729728) ] dθ/dt = 0
400+ 4.0249 dθ/dt = 0
dθ/dt = -98.38 radians/hour
= -99.38/60 radians / min
= -1.66 radians / min = 2PI - 1.66 radians / min
<span>= 4.62 radians / min (ANSWER)</span></span></span>
The sum of all angles in an octagon is given by
180*(n-2) >>>>>>>>>with n = 8
180*(8-2) = 1080 degrees
A + B = 1080 .......where
A is the <span>angle of an octagon which is twice that of the other seven angles
</span><span>
B equals the sum of the other seven angles
If we assume each angle of B is equal to each other, then
B = x+x+x+x+x+x+x = 7x
</span>
And A = 2x
The equation that results is
A + B = 2x +7x = 9x =1080
x = 120 degrees
2x = A = 240 degrees
Answer:
0.40
Step-by-step explanation:
When you divide 4/10, you will get the answer 0.40, as this is the smallest it can go
Answer:
Third table
The slope of the line
The equation of the straight line
3 x + 4y = 0
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given that the points are ( - 4,3) and (0,0)
The slope of the straight line
The equation of the straight line
y - ( 3 ) = ( x - (-4))
4( y-3) = -3( x +4)
4 y - 12 = - 3x -12
3 x + 4y = 0