Answer: 37.69911 in. (Round if necessary)
Steps:
2πr
2·π·6 = 37.69911
Using the quadratic equation instead of calculus, you can find the x coordinate of the vertex as it will be the midpoint of the two x coordinates of the zeros...
x=(-3±√-27)/2
x=-1.5±√-6.75
That the second term is imaginary does not matter because we will add or subtract this value from -1.5, thus the midpoint of the zeros, the x coordinate of the vertex is -1.5. And to find the value of y for the vertex we just find the value of y when x=-1.5
y(-1.5)=6.75
Since y>0, the vertex is above the x-axis.
Answer:
745.44 mm² (nearest hundredth)
Step-by-step explanation:
Section the shape into a semicircle, a rectangle and a triangle by drawing a line vertically through the point, and a vertical line upwards from the corner of the 12.5 mm and 32.5 mm corner.
area of semicircle = (1/2) 
r² = 78.125 mm²
area of the rectangle = 12.5 x 25 = 312.5 mm²
area of triangle = 1/2 x (55 - 25) x 12.5 = 187.5 mm²
total area = 312.5 + 78.125 + 187.5 = 745.44 mm² (nearest hundredth)
P ⇒ Parenthesis
E ⇒ Exponents
M ⇒ Multiplication
D ⇒ Division
A ⇒ Addition
S ⇒Subtraction
Here is how I was taught to remember all the letters. (Please Excuse My Dear Aunt Sally)
