The post office is at the corner of first street and main street, which forms a right angle. first street intersects with oak street to the north, and main street intersects with oak street to the east. the intersection of main street and oak street forms a y° angle, and tan y° = five sevenths. car a drives on main street for 14 miles to arrive at oak street. how far will car b have to travel on first street to get to oak street?
5 miles
7.4 miles
10 miles
19.6 miles

  10 miles

Step-by-step explanation:

The definition of the tangent tells you ...

  tan(y°) = (main to oak distance)/(first to oak distance)

Filling in the given information, we have ...

  5/7 = (main to oak distance)/(14 miles)

Multiplying by 14 miles, we find ...

  (5/7)(14 miles) = main to oak distance = 10 miles

people grow faster than other people.

step-by-step explanation:

should you really be posting this isn't math boi.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet