Parallel lines has equal slopes.
Line y = 3x + 2 has a slope of 3.
Required equation is y - 8 = 3(x - 5)
y = 3x - 15 + 8
y = 3x - 7
Answer:
Cost to pave the road = $4257
Step-by-step explanation:
Area of the pavement = Area of the outer circle - Area of the internal circle
Area of the outer circle = πr²
= π(55)²
= 3025π square feet
Area of the inner circle = π(33)²
= 1089π square feet
Area of the pavement = 3025π - 1089π
= 1936π
= 6082.12 square feet
Cost of pavement = $0.70 per square feet
Therefore, cost of 6082.12 square feet = 6082.12 × 0.70
= 4257.49
≈ $4257
Cost to pave the road = $4257
Answer:
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Step-by-step explanation:
The area of a rectangle is length times width. Since a square's length is equal to its width, a square's area is equal to the length of one side times itself. So, reversed, the square root of the square's area gives the length of one side. In this case, the square root of 36 square centimeters is 6 centimeters. Again, since all four sides of a square are the same, its perimeter is equal to the length of one side times four. For a square with one side equal to 6 centimeters, the perimeter equals 24 centimeters.
Let event A = Caroline buys fruit, event B = Caroline buys CD, Ac and Bc are complementary events.
Events AB, ABc, AcB and AcBc are jointly exhaustive and disjoint, hence P(AB) + P(ABc) + P(AcB) +P(AcBc) =1.
Events A and B independent, hence Ac and Bc independent too and probability P(AcBc) = P(Ac)*P(Bc) = (1 - P(A))(1-P(B)) = 0.6*0.4 = 0.24.
Required probability P(AB + ABc + AcB ) = P(AB) + P(ABc) + P(AcB) = 1- P(AcBc) = 1 - 0.24 = 0.76.
Answer: Probability that Caroline buys fruit, a CD or both is 0.76.