Answer:
To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image.
Step-by-step explanation:
Answer:
hope it helps you thank you
Step-by-step explanation:
mark me as brilliant
Since it takes one hour to fly 230 miles, and we are looking for the number of hours, we can divide the number of miles we are given by the speed. In this case, we would divide 1380 by 230 to get 6. This means it would take 6 hours for the plane to fly 1380 miles.
Answer:
The swimmer must move in the direction 338.2°
Step-by-step explanation:
Since the river flows due south at 1.2 miles per hour and the swimmer swims 3 miles per hour due east of the river, since their directions are perpendicular, the resultant speed is the hypotenuse of the triangle formed by the two perpendicular directions.
The direction of the resultant speed is thus θ = tan⁻¹( vertical component/horizontal component) where vertical component = 1.2 mph due south = -1.2 mph and horizontal component = 3 mph due east = + 3 mph
So, θ = tan⁻¹(-1.2 mph/+ 3mph)
θ = tan⁻¹(-1.2/3)
θ = tan⁻¹(-0.4)
θ = -21.8°
θ = -21.8° + 360° (since we are in the fourth quadrant- between east and south)
θ = 338.2°
So, <u>the swimmer must move in the direction 338.2°</u>.
