Based in the given figure, we are being asked to solve the area and the perimeter of the semicircle. As we evaluate the problem, we can get a radius measurement from the rectangle. Hence, the radius is half of 4 inches which is 2 inches and since we know the formula for solving the area of a circle which is Area = pi*r², dividing the result by two, we able to get the area of the half of a circle which is equivalent to the area of the semicircle.
Area of circle = pi*r²
Area of circle = 3.14*(2)² = 12.56
Therefore, area of semicircle is = (1/2) 12.56
Area of semicircle = 6.28 inches²
Solving for the perimeter:
Semicircle Perimeter = 1/2 * pi* d+d where d is the diameter (diameter = 4 inches)
Semicircle Perimeter = 1/2 * 3.14*4+4
Semicircle Perimeter = 10.28 inches
Answer:
y = 1.25x + 5
Step-by-step explanation:
The entrance fee is fixed, meaning it does not change. It is $5 for any person that wants to enter.
y = mx + b
only rates that change is dependent on how many rides you go on.
so 1.25 is your slope, m
y = the amount you will spend
x = the amount of rides you go on
b = the cost to enter the fair -- this is fixed.
put the equation together
Answer:
x = - 8, x = - 4
Step-by-step explanation:
Given
x² + 15x + 30 = 3x - 2 ( subtract 3x - 2 from both sides )
x² + 12x + 32 = 0 ← in standard form
Consider the factors of the constant term (+ 32) which sum to give the coefficient of the x- term (+ 12)
The factors are + 8 and + 4 , since
8 × 4 = + 32 and 8 + 4 = + 12 , then
(x + 8)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x + 4 = 0 ⇒ x = - 4
