Answer:
The vector joining the ship to the rock is t= 7 i + 5 j
The direction is 0.9505 radians east of north.
Step-by-step explanation:
The position vector of the ship:
r= 1 i + 0 j
The position vector of the ship:
s= 6 i + 5 j
The vector joining the ship to the rock is:
t = r + s
t = (1 i + 0 j) + (6 i + 5 j)
t = 7 i + 5 j
The bearing of the rock to the ship is:
Θ=
= 0.9505 radians
Step-by-step explanation:

Answer:
X=1/5
Step-by-step explanation:
7×-2×-10=-9
5×=-9 +10
5×/5=1/5
×=1/5
Answer:
The number of ways to select 5 diamonds and 3 clubs is 368,082.
Step-by-step explanation:
In a standard deck of 52 cards there are 4 suits each consisting of 13 cards.
Compute the probability of selecting 5 diamonds and 3 clubs as follows:
The number of ways of selecting 0 cards from 13 hearts is:

The number of ways of selecting 3 cards from 13 clubs is:

The number of ways of selecting 5 cards from 13 diamonds is:

The number of ways of selecting 0 cards from 13 spades is:

Compute the number of ways to select 5 diamonds and 3 clubs as:

Thus, the number of ways to select 5 diamonds and 3 clubs is 368,082.