The kite is 105 feet in the air
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 45 are 1, 3, 5, 9, 15, 45
Hence the common factors are only 1 and 5.
The highest common factors in this case is only 5.
Hope this helps : )
Answer:
81/4
Step-by-step explanation:
From the given information; we are to use Lagrange multipliers to find the volume of the largest rectangular box
The coordinate planes and the vertex given in the plane is x + 9y + 4z = 27.
By applying Lagrange multipliers, we have;
where;
From;
--------- equation (1)
From;
--------- equation (2)
From;
--------- equation (3)
Comparing and solving equation (1),(2) and (3);
divide through by
x = 9 y = 4z
3x = 27
x = 27/3
x = 9
From x = 9y
9 = 9 y
y = 9/9
y = 1
From
x = 4z
9 = 4 z
z = 9/4
Thus; the Volume of the largest rectangular box = 9 × 1 × 9/4
= 81/4