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)
Polar coordinates=<span>(6sqrt 2, 3pi/4)=(r, theta)→r=6 sqrt 2, theta=3pi/4
Rectangular coordinates=(x,y)=?
x=r cos theta=(6 sqrt 2) cos(3pi/4)=(6 sqrt 2)(-sqrt 2 / 2)
x=-3 (sqrt 2)^2=-3(2)→x=-6
y=r sin theta=(6 sqrt 2) sin (3pi/4)=(6 sqrt 2)(sqrt 2 / 2)
y=3 (sqrt 2)^2=3(2)→y=6
Rectangular coordinates of the point = (x,y) =(-6,6)
Answer: Option a. (-6,6) </span>
Answer:
The number of flower pots that were sold is 50
Step-by-step explanation:
Let x represent the number of flower pots that the store owner bought and sold.
A store owner bought some flower pots for $1,200. Therefore, the cost price for each flower pot would be
1200/x
The flower pots were sold for $2,700, with a profit of $30 per pot. The means that the selling price of each flower pot would be
2700/x
Profit = selling price - cost price
Therefore
2700/x - 1200/x = 30
Multiplying both sides of the equation by x, it becomes
2700 - 1200 = 30x
30x = 1500
x = 1500/30 = 50
Answer:
x = 12
Step-by-step explanation:
I believe that the two tangents are equal to each other so 2x would be equal to x + 12, so you would subtract x from x + 12 and get x equals 12. I think...
