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)
Answer:
x < -5
Step-by-step explanation:
- 2x - 7 > x+ 8
Add 2x to each side
- 2x+2x - 7 > x+2x+ 8
-7 > 3x+8
Subtract 8 from each side
-7-8 > 3x+8-8
-15 > 3x
Divide by 3
-15/3 > 3x/3
-5 >x
x < -5
Answer: A wheel on the outer rail travel 12.57 ft more than a wheel on the inner rail of the track.
Step-by-step explanation:
Since we have given that
Radius of inner circle = 57 ft
As we know the formula for "Circumference of circle":

Since we have also mentioned that there is 2 feet wide circular track for a camera dolly.
So, Radius of outer circle will be given as

So, Distance = Circumference is given by

Hence, Difference between the outer rail travel than a wheel on the inner rail travel is given by

Therefore, A wheel on the outer rail travel 12.57 ft more than a wheel on the inner rail of the track.
Solution :
Equation for Malcom's family travels after t hours is d = 65 t
From the graph, equation for Theo's family travels after travels after t hours is


For Malcom's family, speed
= 65 miles per hour
For Theo's family, speed
= 50 miles per hour
Malcom's family traveled faster than Theo's family by
= (65-50) miles per hour
= 15 miles per hour