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)
3/6x+9=8
3x+9=8
3x=-1
x= -1/3
Answer:
76 degrees
Step-by-step explanation:
GE = 180 since it is a straight line
GE = GR + FE
180 = 7x+6 +6x-8
Combine like terms
180 = 13x-2
Add 2 to each side
182 = 13x
Divide by 13
182/13 = 13x/13
14 =x
We want FE
FE = 6x-8
FE = 6(14) -8
=84 -8
=76
Answer:
35 students
Step-by-step explanation:
70% of 50 = 0.7×50 = 35