Answer:
300
Step-by-step explanation:
5 percent * 6000
(5:100)* 6000
(5* 6000):100
30000:100 = 300
1 step (B): raise both sides of the equation to the power of 2.
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2 step (A): simplify to obtain the final radical term on one side of the equation.
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3 step (F): raise both sides of the equation to the power of 2 again.
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4 step (E): simplify to get a quadratic equation.
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5 step (D): use the quadratic formula to find the values of x.
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6 step (C): apply the zero product rule.
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Additional 7 step: check these solutions, substituting into the initial equation.
{(3x)}^{2}-2(3x)(5)+{5}^{2}
−2(3x)(5)+5
2
{(3x-5)}^{2}
Answer:
b = 55 degrees
Step-by-step explanation:
The angles 30, a, b and 45 must sum up to 180 degrees
Subtracting (30 + 45) from both sides leaves us with a + b = 105 degrees.
But b = a + 5. Substituting a + 5 in the equation above yields
a + a + 5 = 105 degrees, so that
2a = 100 degrees, and a = 50 degrees. Then b = a + 5, or b = 55 degrees.
Rewriting the formula in standard form would be x^2-8x+14=0