The sum of angles in a regular pentagon is
180*(5 - 2) = 540°
Each internal angle is 540/5 = 108°.
Each vertex creates a line of symmetry to the midpoint of the opposite side,
as shown in the figure.
Answer: 5 lines of symmetry.
Answer: nuclear energy
Explanation: nuclear energy
Answer:
v =3.41 m/s
Explanation:
given,
mass of block 1 = 6 Kg
mass of another block 2 = 4 Kg
coefficient of friction = 0.3
Assuming 6 Kg block is attached to the spring of spring constant 350 N/m
and distance between the two block is equal to 0.5 m
using formula


U = 43.75 J
using conservation of energy
KE = U - f.d
where f is the frictional force acting



v =3.41 m/s
The ducks' flight path as observed by someone standing on the ground is the sum of the wind velocity and the ducks' velocity relative to the wind:
ducks (relative to wind) + wind (relative to Earth) = ducks (relative to Earth)
or equivalently,

(see the attached graphic)
We have
- ducks (relative to wind) = 7.0 m/s in some direction <em>θ</em> relative to the positive horizontal direction, or

- wind (relative to Earth) = 5.0 m/s due East, or

- ducks (relative to earth) = some speed <em>v</em> due South, or

Then by setting components equal, we have


We only care about the direction for this question, which we get from the first equation:



or approximately 136º or 224º.
Only one of these directions must be correct. Choosing between them is a matter of picking the one that satisfies <em>both</em> equations. We want

which means <em>θ</em> must be between 180º and 360º (since angles in this range have negative sine).
So the ducks must fly (relative to the air) in a direction 224º relative to the positive horizontal direction, or about 44º South of West.
Answer:
Explanation:
given that
Distance above the ground, s = 1.2 m
Time taken by the ball, t = 3 s
Velocity of the ball, v = 1.2/3 = 0.4 m/s
Maximum height reached by the ball is then given by the formula
H = v² / 2g
H = 0.4² / 2 * 9.8
H = 0.16 / 19.6
H = 0.0082 m or rather, 0.82 cm