The area (A) of a rectangle is calculated by multiplying the length (L) and the width (W). In order for us to determine the possible dimensions of the section (or sides) of the rectangle, we have to factor the given area.
x² - 4x - 45
(x - 9)(x + 5)
<em>Thus, the possible dimensions of the rectangle are x-9 and x+5</em>.
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Answer:
a) 3.491 in/s
b) 3.333 RPM
c) 0.349 rad/s
Step-by-step explanation:
We know the arc length for a given radius and angle is ...
s = rθ
so the linear speed along the arc is ...
s' = rθ' = (10 in)(20π/180 rad/s) = 10π/9 in/s ≈ 3.491 in/s
__
The rotation rate of 20°/s is an angular velocity of ...
(20°/s)(60s/min)(1 rev/360°) = 3.333 RPM
__
In the first part, we found the angular speed to be π/9 radians/sec. That's about ...
π/9 rad/s ≈ 0.349 rad/s
One approach that might be a great help would be if you would look
at the choices ... those things at the bottom of the question that you
didn't give us.
-- One leg is 3 times the length of the other leg.
-- Any right triangle that has one leg three times as long as the other
leg is similar to this triangle.
I'll bet that if you look through the choices, you'll find one there.
The answer should be less than
1 inch = 2.54 cm
so multiply 27 by 2.54
27 x 2.54 = 68.58 cm long
