k = 1.33 or 1 1/3
Formula of Direct variation. Where y is equal to the product of the constant of variation times x.
y = kx
16 = k * 12
k = 16/12
k = 1 4/12 = 1 1/3
Constant of variation is 1 1/3 or 1.33.
Step-by-step explanation:
here's the solution,
in the given figure , sum of all angles formed with O measures 360°
because, it forms a complete angle
so,
=》mPOQ + mQOR + mROS + mSOT + mTOP = 360°
=》mPOQ + mQOR + mROS + mSOT + mTOP = (90° × 4)
=》mPOQ + mQOR + mROS + mSOT + mTOP = 4 × right angle
(cuz.. right angle = 90°)
He would spend $46.57, I think(I am not that good with rounding)
Answer:
1 hour after they leave
Step-by-step explanation:
The distance each travels is proportional to its speed. The given speeds are at right angles to each other in a 5:12 ratio. The Pythagorean theorem tells you the hypotenuse of such a right triangle will have length ...
√(5²+12²)=√169 = 13
That is the speeds are in the ratio 5:12:13, where 13 represents the relative separation speed. Actual speeds are then 50 mph : 120 mph : 130 mph.
So the distance between the boat and steamer will be increasing at 130 mph. The distance will be 130 miles after 1 hour.
