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:
third option; 70 cm²
Step-by-step explanation:
<u>Rectangle:</u>
5 x 10 = 50
<u>Triangle:</u>
1/2bh
18 - 10 = 8
1/2 5(8)
1/2 40
20
<u>Total area:</u>
50 + 20 = 70 cm²
Answer:
0.5
Step-by-step explanation:
Answer:
<u>Option B. 11</u>
Step-by-step explanation:
See the attached figure
As the figure about an ellipse
So, The sum of distance between A and the foci will be equal the major axis
AB = 6 and the major axis = 17
∴ AB + AC = major axis
∴ 6 + AC = 17
∴ AC = 17 - 6 = 11
<u>So, the length of the blue line segment = 11</u>
