Answer:
Step-by-step explanation:
let the denominator of the original fraction be x, then
← is the original fraction
After the given changes, that is
= 
( cross- multiply )
6(x - 7) = 3(x + 16) ← distribute parenthesis on both sides
6x - 42 = 3x + 48 ( subtract 3x from both sides )
3x - 42 = 48 ( add 42 to both sides )
3x = 90 ( divide both sides by 3 )
x = 30
Thus
= ← the original rational number
Answer:
Keith scored 70% on the History test.
Step-by-step explanation:
We have been given that for History test, Keith had to answer 40 questions. Of these 40 questions, Keith answered 28 of them correctly.
To find the percentage Keith got on History test, we will have to figure out 28 is what percent of 40.
Therefore, Keith scored 70% on the History test.
Answer: The car's maximum speed
have a nice day!!
Answer:
46400 rands
Step-by-step explanation:
Because it's common sense
Answer:
Step-by-step explanation:
The genral form of a complex number in rectangular plane is expressed as z = x+iy
In polar coordinate, z =rcos ∅+irsin∅ where;
r is the modulus = √x²+y²
∅ is teh argument = arctan y/x
Given thr complex number z = 6+6√(3)i
r = √6²+(6√3)²
r = √36+108
r = √144
r = 12
∅ = arctan 6√3/6
∅ = arctan √3
∅ = 60°
In polar form, z = 12(cos60°+isin60°)
z = 12(cosπ/3+isinπ/3)
To get the fourth root of the equation, we will use the de moivres theorem; zⁿ = rⁿ(cosn∅+isinn∅)
z^1/4 = 12^1/4(cosπ/12+isinπ/12)
When n = 1;
z1 = 12^1/4(cosπ/3+isinn/3)
z1 = 12^1/4cis(π/3)
when n = 2;
z2 = 12^1/4(cos2π/3+isin2π/3)
z2 = 12^1/4cis(2π/3)
when n = 3;
z2 = 12^1/4(cosπ+isinπ)
z2 = 12^1/4cis(π)
when n = 4;
z2 = 12^1/4(cos4π/3+isin4π/3)
z2 = 12^1/4cis(4π/3)
