S=sweaters, ST=shirts, SL=slacks.
Add 4S and 6ST and that should add up to 10 in total, then times 10S/ST by 3SL to get 30 as a grand total.
Answer:
No
Step-by-step explanation:
The volume of a cube is the cube of the edge length, so the edge length of the cube-shaped block is ...
edge length = ∛(64 cm³) = 4 cm
Then the smallest cross-section will be a square of edge length 4 cm, so will have an area of (4 cm)² = 16 cm².
The 16 cm² shape will not fit through an 8 cm² hole.
Answer:
combined velocity of the system = 0.033 m/s.
Step-by-step explanation:
taking the bullet and block as single system since there is no external force involved momentum is conserved .
initial momentum of the bullet = mv
where m is the mass of bullet and v is velocity of bullet.
and initial momentum of block = 0 since its velocity is 0.
therefore initial momentum of the system = mv
= 0.005×40
= 0.2
when the bullet stick of together with the block let the combined velocity of the system be V
therefore applying conservation of momentum
mv = (M+m)V
0.2=(6+0.005)V
therefore V = 0.033 m/s
B i thaink is the correct one
Answer:
Lines are parallel if the sum of external angles of same side is 180°.
Step-by-step explanation:
Let one of the external angle is α°.
and other external angle is β° which is equal to α°/11. (∵ Given on is 11 times smaller than the other.)
Also β° = 1/6 of the right angle = (1/6)×90° = 15°.
β° = α°/11 , ⇒ α° = 11×β° = 11×15° = 165°.
α°+β° = 165° + 15° = 180°.
Here, sum of the two external angles = 180° ⇔ the given lines are parallel.