Answer:
Step-by-step explanation:
1. Move the 6 to the other side: x^2 +4x =6
2. Square half the coefficient of the x term: (4/2)^2 = 4
3. Add this 4, and then subtract this 4, from x^2 + 4x:
x^2 +4x + 4 - 4 =6
4. Rewrite this perfect square as the square of a binomial:
(x + 2)^2 - 4 = 6
5. Add 4 to both sides: (x + 2)^2 = 10
6. Find the sqrt of both sides: x + 2 = √
A cylinder has a cross section of a circle as well as the sphere.
Answer:
6kg
Step-by-step explanation:
kg are bigger than g
Answer:
0.09
Step-by-step explanation:
Given :
P(bike) = 0.8
P(car) = 0.2
P(Late given car) = P(Late | car) = 0.05
P(Late given bike) = p(Late | bike) = 0.1
Probability that professor is late :
P(late) = [P(Late | car) * p(car)] + [p(Late | bike) * p(bike)]
P(late) = [0.05 * 0.2] + [0.1 * 0.8]
P(late) = 0.01 + 0.08
P(late) = 0.09
Answer:
∠A = 90
∠B = 30
∠C = 60
Step-by-step explanation:
Let ∠B = x
∠A = 3x
∠C = x + 30
Angle sum property of triangle: Sum of three angles of triangle is 180
x + 3x + x + 30 = 180 {Combine like terms}
5x + 30 = 180
5x = 180 - 30
5x = 150
x = 130/5
x = 30
∠A = 3*30 = 90
∠C = 30 + 30 = 60
