Answer:
Step-by-step explanation:
Given that:
the perimeter of the fencing (rectangle) = 200
Let recall that the area equation of a rectangle = L × w
The perimeter now = 2(L + w)
The perimeter = 2L + 2w
∴
200 = 2L +2w
Dividing both sides by 2
100 = L + w
Making Length L the subject; we have:
- L = -100 + w
L = 100 - w
Thus;
A(w) = (100 - w) w
and the domain of the function is (0,100)
In the question it is given that Louie has 20 more than half as many baseball cards as Gerardo does.So,
Let us assume that the number of baseball cards Gerardo has = X
Number of baseball cards that Louie has = 20 + X/2
Also the total number of baseball cards Louie and Gerardo has together is 350.
Then,
X + X/2 + 20 = 350
X + X/2 = 350 - 20
X + X/2 = 330
3X/2 = 330
3X = 330 * 2
3X = 660
X = 660/3
= 220
Number of baseball cards Gerardo has = 220
Number of cards Louie has = 130.
Answer:
Step-by-step explanation:
$1.11
Answer:
D. 1.12
Step-by-step explanation:
I calculated it logically
In the 
-
plane, the base has equation(s)
which is to say, the distance (parallel to the -axis) between the top and the bottom of the ellipse is
so that at any given , the cross-section has a hypotenuse whose length is 
.
The cross-section is an isosceles right triangle, which means the legs occur with the hypotenuse in a ratio of 1 to 
, so that the legs have length 
. Then the area of each cross-section is
Then the volume of this solid is
