Answer:
15
Step-by-step explanation:
The difference between consecutive integers is 1.
The difference between consecutive odd integers is 2.
Let the smallest odd integer be x.
Then the next greater one is x + 2. The greatest one is x + 4.
"3 times the first" is 3x
"twice the third" is 2(x + 4)
"3 times the first of three consecutive odd integers is 3 more than twice the third"
3x = 2(x + 4) + 3
3x = 2x + 8 + 3
x = 11
The smallest integer is 11.
x + 4 = 11 + 4 = 15
The greatest one is 15.
Answer:
~4.7%
Step-by-step explanation:
Area of the rectangle: 35*52=1820
Area of 1 small circle: A=πr2=π·32≈28.27433
28.27433*3=84.82299
84.82299/1820=0.04660603846
Therefore, about 4.7%
We use direct proportionality:
360⁰......Pi×R² (full circle)
120⁰.......x
x=120×pi×R²/360=pi×R²/3
x=pi×4²/3=16.76mi²
A=3×pi cm², for an angle of 2×pi/3=120⁰
In a similar way we compute the area of the full circle:
360.........x
120..........3×pi
x=3×pi×360/120=9×pi=3²×pi.
Thus the radius is 3cm.
Let the point be P, and the masses be located at P1 and P2.
The centre of mass is such that the moments of masses m1 and m2 exert an equal moment at the point P,
and the distance P1P2=d
namely,
m1(mPP1)=m2(mPP2)
The distance of the centre of mass from m1 is therefore
d1=d*m2/(m1+m2)
Similarly, the distance of the centre of mass from m2 is
d2=d*m1/(m1+m2)
