50 students studying both maths and english. 90 students study either maths or english. if 25 students study eng not maths. how many students study maths but not english?

15 students study math and not English

Step-by-step explanation:

lets take the # or people who study math but not English as "x"

so 90 students study math or English

25 students study English and not math

and

50 study both

since 90 students study math or English that is what our equation will equal.

so

25+x+50=90

25+50=75

75+x=90

subtract "75" from both sides:

x=15

Hope this helps!

5

step-by-step explanation:

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