Two vectors added using the tip to tail method. There is a 12 meter vector west added to a 5 meter vector north in a right triangle. The hypotenuse is a dashed arrow labeled R. What is the magnitude of the resultant vector? 13 miles 17 miles 60 miles 169 miles

The answer is below

Step-by-step explanation:

The two vectors together with the resultant vector forms a right angled triangle. The resultant vector R can be gotten using the formula:

R² = 12² + 5²

R² = 144 + 25

R² = 169

R = √169 = 13

R = 13 miles

The resultant vector is 13 miles

The direction is gotten from:

θ = tan⁻¹(5/12)

θ = 22.62° North West

The resultant vector is therefore 13 miles North West

i understand 100% 10/10 hit or miss?

step-by-step explanation:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

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