Answer:
50
Step-by-step explanation:
and can be expressed in complex form, with = i
= = × = 8i
= = × = 4i
the factors can then be expressed as
(6 + 8i)(3 - 4i) ← expand using FOIL
= 18 - 24i + 24i - 32i² [ i² = ( )² = - 1 ]
= 18 - 24i + 24i + 32 ← collect like terms
= 18 + 32 + 0
= 50
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>
What are the choices for this
Let:
P - perimeter
l - length
w - width
We know:
P = 118 m
l = 2w - 7
<h3>Rectangle perimeter's formula: P = 2l + 2w</h3>
We replace the length with 2w - 7.
P = 2×(2w - 7) + 2w
118 = 4w - 14 + 2w
118 = 6w - 14
6w = 118 + 14
6w = 132
w = 22 meters