Hello!
The find the volume of a cone you divide the product of the base and height by 3. First we find the area using

r².
A=49(3.14)=153.86
Now we multiply this by the height.
153.86(18)=2769.48
Now we divide by 3.
2769.48/3=923.16
Now we divide this number by 21 to see how many days it will take for the container to become empty.
923.16/21=43.96≈44
Therefore, our answer is
A) 44 days.
I hope this helps!
Answer:
P = 9 is the max value
Step-by-step explanation:
Sketch
2x + 4y = 10
with x- intercept = (5, 0) and y- intercept (0, 2.5)
x + 9y = 12
with x- intercept = (12, 0) and y- intercept = (0,
)
Solve
2x + 4y = 10 and x + 9y = 12 to find the point of intersection at (3, 1)
The region corresponding to the solution of the system of constraints
Has vertices at (0,
), (0, 0) , (5, 0) and (3, 1)
Now evaluate the objective function at each vertex.
(0, 0) can be excluded as it will not give a maximum
(5, 0) → P = 5 + 0 = 5
(0,
) → 0 + 8 = 8
(3, 1) → 3 + 6(1) = 3 + 6 = 9 ← maximum value
Thus the maximum value is 9 when x = 3 and y = 1
Hello.
JK (or any other combination of letters) doesn't stand for anything in geometry. The purpose of these letters is to reference certain angles and sides of a figure without having to describe the angles/sides in relation to other angles/sides to know exactly which angle or side is being referenced.
Hope this helps!
Answer:
G.(x, y) → (x+5, y+3)
Step-by-step explanation:
The rule would be (x+5, y+3) and the only one with that rule is G.
Both are linear because they're on the format of y=mx+b. m= slope and b= the y-intercept