-7 Good luck with other questions!
Answer:
y = 70 yd
A(max) = 9800 yd²
Step-by-step explanation:
Let call " y " sides of the rectangular area running perpendicular to the river, then:
Perimeter of the area (without one side is )
P = x + 2*y and we have 280 yards of fencing material
280 = x + 2*y ⇒ y = ( 280 - x ) / 2
And rectangular area is:
A = x*y
Area as a function of x is:
A(x) = x * ( 280 - x ) / 2
A(x) = 280*x /2 - x²/2
Taking derivatives on both sides of the equation we get:
A´(x) = 140 - x = 0
140 - x = 0
x = 140 yd
And y
y = ( 280 - x ) / 2
y = 140 /2
y = 70 yd
And
A( max ) = 140*70
A(max) = 9800 yd²
Answer:
B. 40, 51.5, 88.5
Step-by-step explanation:
(5x - 4) + (2x + 3) + (3x- 4) = 180
10x - 5 = 180
10x = 185
x= 18.5
Substitute
5(18.5) - 4 = 88.5
2(18.5) + 3 = 40
3(18.5) - 4 = 51.5
Answer:
The volume of the cone is 1526.04 km cubed
Step-by-step explanation:
The equation for a right cone is πr^2 multiplied by h/3. The r equals radius and the h equals 18. So, we get the equation π(9)^2 multiplied by 18/3. When put into a calculator, you get 1526.04. (Remember to use 3.12 NOT π.)
Answer:
Cant see the picture
Step-by-step explanation: