Find the volume of the square pyramid, given its slant height​

Step-by-step explanation:

base length b =32cm

slant height L =30cm

height h =√(L²-(½b)²)

=√(30²-0.25·32²)

≅25.3771550809cm

volume V =(⅓)b²h

=(⅓)32²·25.38

≅8662.07cm³

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

40 minutes

step-by-step explanation:

add the time and multiply by 2