Asolid yellow stripe is to be painted in the middle of a certain highway. if 1 gallon of paint covers an area of p square feet of highway, how many gallons of paint will be needed to paint a stripe t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches) \small \frac{5,280mt}{12p} \small \frac{5,280pt}{12m} \small \frac{5,280pmt}{12} \small \frac{(5,280)(12m)}{pt} \small \frac{(5,280)(12p)}{mt} next previous review review screen

Explanation:

Given,

Length of the highway = m miles = 5280m feet  ( ∵ 1 mile = 5280 ft ),

It width = t inches = feet   (  ∵ 1 feet = 12 inches ⇒ 1 inch = 1/12 feet )

Thus, the area of the highway,

Since,

Paint required for p ft² area = 1 gallon,

Paint required for 1 ft² area = 1/p gallon,

∴ Paint required for ft² area = gallon,

Hence, the number of gallon of paint required is

in this image, you can see solar radiation going through ocean water.

no image, but probably absorption

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.