Nicole has x dimes and y nickels. She has at least 15 coins worth a maximum of $1 combined. Solve this system of inequalities graphically and determine one possible
solution.

The solution of the inequalities is required.

One of the solutions is

Number of dimes is

Number of nickels is

Minimum number of coins is 15.

So,

Maximum total value of the coins is $1

So,

The equations are

Points of the first equation

and

Graph the points and draw a line through them.

Points of the second equation

and

Graph the points and draw a line through them.

The shaded regions can be determined by substituting the point in the equations.

One of the solutions is

This means there are 5 dimes and 10 nickels.

Hence, one of the solutions is .

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Step-by-step explanation:

we want to put it into terms of Y

the graph is in the attached image. Any point in the shaded overlap region where x is greater than or equal to 0 (assuming you cannot have negative coins) works, e.g. (2, 14)

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

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