A is true, because if you cross multiply the two fractions, you get 36 = 36. if you cross multiply the other proportions, none of them are equal except A.
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>
Answer:
167.47 cubic metres
Step-by-step explanation:
Volume of a cone is given by where r is radius and h is the height of the cone. Assuming a radius of 4m and height of 10 m then the volume, using 3.14 for will be
V=
The speed of car is 45.3 miles per hour.
Further explanation:
Speed is the rate at which an object changes position with respect to time.
Given
The formula for calculating speed is:
The speed of car is 45.3 miles per hour.
Keywords: Speed, distance
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