Answer: 116.93ft^2
Explanation: find the area of the circle
A= pi•r^2
A=(3.14)•1.5^2= 7.07
Then find the area of the rectangle
A=L•W
A=15.5•8=124
Then do 124-7.07=116.93
You have to subtract the area of the circle from the area of the rectangle because the circle is not shaded in
Let x be the total weekly sales.
His salary is $300/week + 1.8% (x), if he wants to earn $570, then:
300 + 1.8%(x) = 570
1.8%(x) = 270
0.018 (x) = 270
and x = 270/0.018 = $15,000
Y = -(1/2)(x-2)² +8
Re write it in standard form:
(y-8) = -1/2(x-2)² ↔ (y-k) = a(x-h)²
This parabola open downward (a = -1/2 <0), with a maximum shown in vertex
The vertex is (h , k) → Vertex(2 , 8)
focus(h, k +c )
a = 1/4c → -1/2 = 1/4c → c = -1/2, hence focus(2, 8-1/2) →focus(2,15/2)
Latus rectum: y-value = 15/2
Replace in the equation y with 15/2→→15/2 = -1/2(x-2)² + 8
Or -1/2(x-2)² +8 -15/2 = 0
Solving this quadratic equation gives x' = 3 and x" = 2, then
Latus rectum = 5
-axis (washer method):
-axis (shell method):
(shell method):
(washer method):