Answer:
9. Force is required to change an object velocity.Force is equal to mass times acceleration.
10. Force acting on object are paired with equal and opposite forces
Step-by-step explanation:
9.
Newton's 2nd law states that force is a product of mass and acceleration.In this case, the force of friction is causing deceleration of the ball.This is an example of rolling friction.Acceleration of the ball depends directly on this friction but indirectly on its mass.
10.
From Newton's 3rd Law ,for every action there is an equal and opposite reaction.The astronaut throwing the ball will experience the effect of an external force againts his own which is equal and in the opposite direction to the force she applied.This is why the astronaut moves backward but slower.
1 litre of 10% solution contains 100mL of iodine
1 litre of 90% solution contains 900mL of iodine
Mixing them will produce 2 litres of solution containing 1000mL of iodine which is 50% iodine.
To produce 8 litres of 50% iodine they can mix 4 litres of 10% and 4 litres of 90%
Step-by-step explanation:
you add 9% to a number by multiplying that number by 1.09.
because adding 9% gives us in the end 109% of the original amount.
anyway, the formula for quarterly compounded interest is
Cq = P [ (1+r)^(4*n) – 1 ]
P is the starting principal amount
r is the interest rate per quarter (= interest rate / 4)
n would be the number of years (= 1 in our case).
so, the interest after 1 year is
12500((1 + 0.09/4)⁴ - 1) = 12500(1.0225⁴ - 1) =
= 12500 × 0.093083319 = $1,163.541485 ≈ $1,163.54
Answer:
1/2 mile
Step-by-step explanation:
(1/8)*4 = 1/2 mile
To prove a similarity of a triangle, we use angles or sides.
In this case we use angles to prove
∠ACB = ∠AED (Corresponding ∠s)
∠AED = ∠FDE (Alternate ∠s)
∠ABC = ∠ADE (Corresponding ∠s)
∠ADE = ∠FED (Alternate ∠s)
∠BAC = ∠EFD (sum of ∠s in a triangle)
Now we know the similarity in the triangles.
But it is necessary to write the similar triangle according to how the question ask.
The question asks " ∆ABC is similar to ∆____. " So we find ∠ABC in the prove.
∠ABC corressponds to ∠FED as stated above.
∴ ∆ABC is similar to ∆FED
Similarly, if the question asks " ∆ACB is similar to ∆____. "
We answer as ∆ACB is similar to ∆FDE.
Answer is ∆ABC is similar to ∆FED.
