Answer: 113.1 i think sorry im bad at pi U_U
Step-by-step explanation:
The relationship is proportional because it is in standard form
Answer: 27465 km/h
Step-by-step explanation:
From the figure, let us use cosine formula to calculate the resultant displacement.
B^2 = C^2 + A^2 - 2(A)(C) cosØ
Where C = 580km
A = 360 km
Ø = 153 degree
Substitute all the parameters into the formula
B^2 = 580^2 + 360^2 - 2(360)(580)cos153
B^2 = 466000 - ( - 372084.32 )
B^2 = 466000 + 372084.32
B^2 = 838084.32
Square root both sides
B = 915.5 km
You are told to use a scale of 1 cm to 50 km.
Therefore, B = 915.5/50 = 18.3 cm
The time given are: 09:23 and 09:25.
The time difference = 25 - 23 = 2 minute.
Convert minutes to hours
2 minute = 2/60 = 1/30 hours
Speed = distance/time
Speed = 915.5 ÷ 1/30
Speed = 915.5 × 30
Speed = 27465 km/h
Or
Convert 2 minute to second
2 minute = 2 × 60 = 120 seconds
Speed = distance/time
Speed = 18.3/120
Speed = 0. 1525 cm/s
Answer:
They can finish the race in 15 x 14 x 13 x 12 x 11 = 360360 order.
Step-by-step explanation:
There are 15 bicyclists in the race. The first position would come from the first bicyclist to the 15th. Meaning the first position can be occupied by 15 individuals. The second position can only be occupied by 14 individuals since one person is already first. Same way the third, fourth and fifth positions can be occupied by 13, 12 and 11 individuals respectively.
Therefore, they can finish the race in
15 x 14 x 13 x 12 x 11 = 360360 order.
So for the dice to be 9 two die must be rolled. So we start with a 1/2 chance.
Then there are 36 possibilities to be rolled on a die (6*6) and there are 4/36 possibilities for the dice to roll a 9 (4+5, 5+4, 3+6, 6+3).
So we multiply 1/2 by 1/9 (4/36)- which equals 1/18.
So there is a 1/18 chance for the result of the dice rolled to be a 9.
I hope this helps!