Answer:
π(12.1)²
Step-by-step explanation:
12.1 is the radius
Formula for base = πr²
= π(12.1)²
One clock of any type costs $3.20. a clocks cost 3.2a. w clocks cost 3.2w.
Add 3.2a to 3.2w to find the total cost.
T = 3.2a + 3.2w
T = 3.2(a + w)
Both expressions above are correct answers.
Answer: $24.636 (Rounded to the nearest penny)
The Winding river is modeled by r(x)= 
As bridges will be built along x-Axis to cross the river.
so,the bridges work as a tangent to river.
r'(x)=
So , r'(x)=0
→
=0
→3x²+6 x+ 2 x+4=0
→3 x(x+2)+2(x+2)=0
→(x+2)(3 x+2)=0
x=-2, x= -2/3
As there are two values of x, from where we can draw tangents or bridges to the river.So there are maximum of two bridges that we need to built.
The general equation of a straight line is in the form of;
Y=MX + c,
Where m is the gradient and
C the y-intersept.
Parallel line have the same gradient.
From the equation,
Y=-1/4X - 2,
Gradient = - 1/4.
Now assuming that the second line passes through (x,y) and (-3,2).
(Y-2)/(X--3) =-1/4
4(Y-2)=-1(X+3)
4Y-8 = -X-3
4Y = -X -3+8
4Y = -X +5
Y = -1/4X +5/4