Answer:
Step-by-step explanation:
A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E.
Displacement in vector form
= 28 cos43 i + 28sin43j
= 20.47 i + 19.1 j
The captain then turns the boat 90° and travels another 15 miles in the direction S 47° E
Displacement
= 15 cos47 i - 15 sin47 j
= 10.22 i - 10.97 j
Total displacement
= 20.47 i + 19.1 j + 10.22 i - 10.97 j
= 30.69 i - 8.13 j
Magnitude of displacement
= 31.75 miles
Angle with east direction
TanФ = - 8.13 / 30.69
Ф = 15 degree south of east.
Answer:
59
Step-by-step explanation:
Let c and b represent the scores of Colin and Brian respectively. Then
c + b = 59. Since brian scored 59 more points than Colin, that means c = 0 and b = 59. Their combined score is 0 + 59 = 59.
Answer:
r=-6
Step-by-step explanation:
<span>15 eggs and 16 cups flour </span>
<span>Pumpkin bread (x) : 2 eggs & 3 cups of flour </span>
<span>Coffee cake (y) : 3 eggs & 4 cups of flour </span>
<span>2x + 3y ≤ 15 { number of eggs used} </span>
<span>3x + 4y ≤ 16 { number of cups of flour used } </span>
<span>Objective function </span>
<span>P = 5x + 4y</span>
Here is my answer.. correct me if im wrong.
