Answer:
a)
AB is on the latitude 30°N.
<u>Find AB:</u>
- AB = 2*3.142*6400*cos 30°*(32+35)/360 = 6482.15 km
BC is along longitude 35°W
<u>Find BC:</u>
- BC = 2*3.142*6400*(30 + 20)/360 = 5585.77 km
<u>Total distance traveled:</u>
- 6482.15 + 5585.77 = 12067.92 km
<u>Convert the distance to nautical miles:</u>
12067.92/1.86 = 6488.13 nautical miles
b)
<u>Find the average speed:</u>
- 6488.13/22 = 294.92 nautical miles / hour
<u>Note</u>. <em>This is unrealistically high speed for a ship, this must be a plane or the time given wrong.</em>
First, plug in the given point into y=mx +b to find b (the y-intercept of the line). Use the same slope (m) in the equation since parallel lines have the same slope (3 in this case).
-1 = 3(4) +b
-1 = 12 + b Subtract 12 to both sides.
-13 = b
Now, put your m and b into y=mx+b.
The final answer/equation of your line is:
y=3x -13
1: 3, 2: 5, 4:14 ther u go
Answer:
864 cubic inches
Step-by-step explanation:
Complete Question
A display case in the shape of a rectangular pyramid has a base that is 12 inches by 9 inches. It is 8 inches tall. What is the volume of the display case?
The volume of a rectangular pyramid =
Area of the base × Height of the pyramid
Base has dimensions = 12 inches by 9 inches.
Area of the base = 108 square inches
Height of the pyramid = 8 inches
Volume of rectangular pyramid =
Area of the base × Height of pyramid
= 108 square inches × 8 inches
= 864 cubic inches
Therefore, the volume of the display case is 864 cubic inches
