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

450 is the final answer! : )

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.