Answer:
Step-by-step explanation:
Remark
The diagram is a mess of lines; you have to guess where that 12 belongs. Just to make the question a bit more interesting, I'm going to say the 12 belongs to the perpendicular.
If that's true you can find KT using Pythagorus. KT and RT are equal. (SSS)
So, let's go.
Givens
1/2 of ST = 1/2 32 = 16
12 is the leg of the small triangle KT and the third point where the perpenduclar line meets ST.
Solution
KT^2 = 16^2 + 12^2
KT^2 = 256 + 144
KT^2 = 400
KT = sqrt(400)
KT = 20
RK = KT because parts of a congruent triangle = parts of the other triangle containing the line (KT) that you are trying to find the length of.
Groceries because they are a necessity to people
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
It would be a reflection in the x-axis - you can imagine flipping triangle B over the line y = 0 (or the x-axis) and it would be in the position of triangle C
Answer:
1/4
Step-by-step explanation:
Let x = number the spinner lands on
P(X = 1) = 1/4
P(X = 2) = 1/4
P(X = 3) = 1/4
P(X = 4) = 1/4
The spins are independent events as their probabilities are not affected by whether or not the other event happens
Therefore, the probability that you land on a number 2 given that your first spin landed on number 1 is still 1/4
