6x + 8 = 74
-8 -8
6x = 66
/6 /6
x = 11
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Volume of cylinder= π•r•r•h
volume of cone= π•r•r•h
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3
it takes 3 cones to fill a cylinder if bot shape have an equal base and equal height.
<span>use De Moivre's Theorem:
⁵√[243(cos 260° + i sin 260°)] = [243(cos 260° + i sin 260°)]^(1/5)
= 243^(1/5) (cos (260 / 5)° + i sin (260 / 5)°)
= 3 (cos 52° + i sin 52°)
z1 = 3 (cos 52° + i sin 52°) ←← so that's the first root
there are 5 roots so the angle between each root is 360/5 = 72°
then the other four roots are:
z2 = 3 (cos (52 + 72)° + i sin (52+ 72)°) = 3 (cos 124° + i sin 124°)
z3 = 3 (cos (124 + 72)° + i sin (124 + 72)°) = 3 (cos 196° + i sin 196°)
z4 = 3 (cos (196 + 72)² + i sin (196 + 72)°) = 3 (cos 268° + i sin 268°)
z5 = 3 (cos (268 + 72)° + i sin (268 + 72)°) = 3 (cos 340° + i sin 340°) </span>
Answer:
x = 2, -2, -1/5
Step-by-step explanation:
g(x)= 5x^3+x^2-20x-4
g(x)= x^2(5x+1)-4(5x+1)
g(x)=(x^2-4)(5x+1)
g(x)=(x-2)(x+2)(5x+1)
x-2=0
x= 2
x+2=0
x= -2
5x+1=0
x= -1/5
Its (a) 28 ÷ b = 7 Because When we divide 28 roses in each bunch consisting 7 roses therefore there are 4 bunch of roses therefore the equation (a) satisfy the result and the variable b has value 4.