Answer:
Step-by-step explanation:
Keep in mind that these three trig functions can be interpreted as being the ratios of the side lengths of a triangle:
opposite side
sin x = ----------------------
hypotenuse
adjacent side
cos x = ----------------------
hypotenuse
opposite side
tan x = ----------------------
adjacent side
In the case where you have a right triangle and know the lengths of two of its three sides, that knowledge dictates which of the above trig functions to use in "solving the triangle."
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If, for example, the "opposite side" of a triangle is 3 and the "hypotenuse" is 5, we'd choose to use the sine function to find the angle opposite the "opposite side:"
opposite side 3 units
sin x = ---------------------- = -------------
hypotenuse 5 units
Find x by using the inverse sine function:
Angle x = arcsin 3/5 = 0.644 radians or 36.9 degrees.
Answer:
dC/dt = 2 mg*cm³/s
Step-by-step explanation:
Given
C(t)= (1/2)*(4t+ 4)- (1/2)
we apply dC/dt as follows
dC/dt = d((1/2)*(4t+ 4)- (1/2))/dt = (1/2)*(4) = 2
⇒ dC/dt = 2 mg*cm³/s
A yard stick would be used
Grocery Mart sold a better deal than baldwsin hills
Answer:
Same angular velocity
Same angular acceleration
Point 1 has greater tangential speed
Point 1 has greater tangential acceleration
Point 1 has greater centripetal acceleration
Step-by-step explanation:
Since both points are located on the rigid wheel, their angular velocity and acceleration must be the same for all point located on the wheel.
The tangential quantities, however, would depend on how far they are from the axis of rotation:
where 
are the angular velocity and acceleration, respectively, which is the same for 2 points. R is the radius of rotation. In this case point 1 has a larger radius since it lies on the rim and point 2 is only half way between.
Therefore, tangential speed, acceleration and centripetal acceleration of point 1 is larger than point 2.
