Answer:
The answer for this question ( ur exit ticket ) is C .
To find the top and bottom circles you use:
2(pi x r^2)
- your r (radius) is half of the diameter so 3.
To find the part around it you use:
2 x pi x r x height
Circles: 2(pi x 3^2) = 56.5487
Rectangular around: 2 x pi x 3 x 5 = 94.2478
- then add them together
56.5487 + 94.2478 = 150.7965 yards^2
Answer:
x = 8,49 ft
y = 4,24 ft
Step-by-step explanation:
Let x be the longer side of rectangle and y the shorter
Area of rectangle = 36 ft² 36 = x* y ⇒ y =36/x
Perimeter of rectangle:
P = 2x + 2y for convinience we will write it as P = ( 2x + y ) + y
C(x,y) = 1 * ( 2x + y ) + 3* y
The cost equation as function of x is:
C(x) = 2x + 36/x + 108/x
C(x) = 2x + 144/x
Taking derivatives on both sides of the equation
C´(x) = 2 - 144/x²
C´(x) = 0 2 - 144/x² = 0 ⇒ 2x² -144 = 0 ⇒ x² = 72
x = 8,49 ft y = 36/8.49 y = 4,24 ft
How can we be sure that value will give us a minimun
We get second derivative
C´(x) = 2 - 144/x² ⇒C´´(x) = 2x (144)/ x⁴
so C´´(x) > 0
condition for a minimum
Answer:
75.99
Step-by-step explanation:
Answer:
rational, irrational is like pi or \sqrt{-7}
Step-by-step explanation:
