Answer:
a) r(t) = 0.783t radians
b) h(t) = 30cos(0.783*t) feet
Step-by-step explanation:
The situation is depicted in the picture attached
<h3>(see picture)
</h3>
Since the angular speed is constant, to find an expression for the angle r(t) in radians we just cross-multiply using the fact that 1 min = 60 seconds
4.7 radians __________ 60 seconds
r(t) radians ____________ t seconds
The height h(t) after t seconds is given by
h(t) = 30cos(r(t)) ===>
h(t) = 30cos(0.783*t) feet
Angle OPM and Angle LMK
When angles are corresponding, they're essentially on the same side. It's sort of hard to explain, so I'll attach a drawing. The one on the left with the check mark is a corresponding angle, and the one on the right with the X is a same-side angle. Essentially, corresponding angles are on the same side and are also equal, unlike same-side angles, which are supplementary angles.
Let me know if you don't understand my explanation.
-T.B.
Answer:
187.4
Step-by-step explanation:
Answer:
Slope = 0.06
Step-by-step explanation:
From the question, we are not asked what to calculate but we can as welll look for the slope of the relationship.
Slope in this scenario will be the rate of change in price of milk with respect to time.
Slope = ∆P/∆t
The standard equation will be expressed as P = mt+c where
m is the slope
t is time
P is the price of milk.
Comparing this with the given model
P(t)=0.06t+2.52
On comparison, we can see that;
m = 0.06
Hence the slope of the expression is 0.06