Answer:
A. Circumference is 16
C. Diameter is 25.5
Step-by-step explanation:
circumference = 2πr
Diameter = r/2
A.
Diameter = 5 or radius = 5/2
Circumference = 2*3.14*5/2 = 15.7 or 16
C.
Circumference = 80 = 2πr
Radius = 12.74
Diameter = 2*radius = 25.48 or 25.5
Base-x (km)
height-h (km)
square-S (km2)
S=h*x/2; => x=2S/h; =>x=2*288,6/26=22,2(km)
Answer: 22,2 km
I suppose the integral is
The integration region corresponds to a sector of a cirlce with radius 5 subtended by a central angle of π/4 rad. We can capture this region in polar coordinates by the set
Then 
, 
, and 
. So the integral becomes
Answer:
. 2) It’s positive only if the first integer is greater
The string is assumed to be massless so the tension is the sting above the 12.0 N block has the same magnitude to the horizontal tension pulling to the right of the 20.0 N block. Thus,
1.22 a = 12.0 - T (eqn 1)
and for the 20.0 N block:
2.04 a = T - 20.0 x 0.325 (using µ(k) for the coefficient of friction)
2.04 a = T - 6.5 (eqn 2)
[eqn 1] + [eqn 2] → 3.26 a = 5.5
a = 1.69 m/s²
Subs a = 1.69 into [eqn 2] → 2.04 x 1.69 = T - 6.5
T = 9.95 N
Now want the resultant force acting on the 20.0 N block:
Resultant force acting on the 20.0 N block = 9.95 - 20.0 x 0.325 = 3.45 N
<span>Units have to be consistent ... so have to convert 75.0 cm to m: </span>
75.0 cm = 75.0 cm x [1 m / 100 cm] = 0.750 m
<span>work done on the 20.0 N block = 3.45 x 0.750 = 2.59 J</span>
