Svetlana and Bob were given money in a ratio of 5 to 3. Svetlana's share was $60. How much did Bob receive?

$36

Step-by-step explanation:

Write as a ratio

Svetlana : Bob  

Substitute in given values, Bob's amount = x

5 : 3 = 60 : x

Rewrite as fractions

5/3 = 60/x

Cross-Multiply (numerator * denominator / numerator * denominator)

5x = 180

Divide both sides of the equation by 5

x = 36

Bob received $36

Hope this helps :)

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°

hope this

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)