Answer:
B
Step-by-step explanation:
The volume (V) of a rectangular prism is calculated as
V = length × width × height
Calculate the volume of each prism
Q → V = 8 × 4 × 5 = 60 ft³
R → V = 6 × 7 × 12 = 504 ft³
S → V = 4 × 10 × 12 = 480 ft³
T → V = 2 × 13 × 5 = 130 ft³
Prism R has the greatest volume → B
Answer:
True.
Step-by-step explanation:
C(4, 3) means the number of combinations from 4 items taking 3 at a time. We are selecting 3 distinct items and it doesn't say anything about the order in which they are selected , so we use a combination formula not a permutation ( where order does matter).
C(4, 3) = 4! / 3! 1!
= 4*3*2*1 / 3*2*1*1
= 4.
There are 4 ways to select 3 items from 4.
Answer:
The drift angle is approximately 7.65° towards the East from the plane's heading
Step-by-step explanation:
The speed of the plane = 350 mph
The direction in which the plane flies N 40° E = 50° counterclockwise from the eastern direction
The speed of the wind = 40 mph
The direction of the wind = S 70° E = 20° clockwise from the eastern direction
The component velocities of the plane are;
= (350 × cos 50)·i + (350 × sin 50)·j
= (40 + cos 20)·i - (40 × sin 40)·j
The resultant speed of the plane = + = 265.915·i +242.404·j
The direction the plane is heading = tan⁻¹(242.404/265.915) ≈ 42.35°
Therefore, the drift angle = Actual Angle - Direction of the plane = 50 - 42.35 ≈ 7.65° towards the East
Answer:
z ≥ -10
Step-by-step explanation:
When the circle is filled it means the direction its going (less than or greater than) or equal to in this case the line is going farther than -10 so its greater than or equal to -10. Z would be your variable so its z ≥ -10
M=14 just do the opposite of PEMDAS and leave m on the left to find the answer
