Answer:
V = 31.5 in ^3
Step-by-step explanation:
The volume is Bh
The base is the triangle
B = 1/2 (7) *2
B = 7 in^2
Now find the volume
V = 7* 4.5
V = 31.5 in ^3
Answer:56.57
Step-by-step explanation:
πr2
2
=
22
7
⋅(6)2
2
=56.57
The third one because its the only one decreasing
Answer: V = (10.4 mph, 38.6 mph)
Step-by-step explanation:
The velocity is written as (vx, vy)
where vx is the component of the velocity in the x-axis and vy is the component of the velocity in the y-axis.
In usual notation, the angles are measured counterclockwise from the positive x-axis.
We know that the angle is 75°, this means that the velocity in the x-axis will be equal to the total velocity of the bird projected in the x-axis (suppose a triangle rectangle, where the velocity is the hypotenuse, the x component is a cathetus and the y component is other cathetus)
vx = 40mph*cos(75°) = 10.4 mph
vy = 40mph*sin(75°) = 38.6mph
Then the vector of velocity is V = (10.4 mph, 38.6 mph)
Of the 5 routes Tanya can choose from, 2 routes will take 30 minutes. This means that the probability is:
2/5 = 0.4
The answer is 40%.