We must solve <span>2/5 ≥ w -3/5. Note that w is already +, so leave it where it now is. Add 3/5 to both sides of this inequality:
2/5 + 3/5 </span>≥ w - 3/5 + 3/5
Then: 1 ≥ w, or w ≤ 1 (answer)
Answer:
14130 ft^3
Step-by-step explanation:
The formula for the volume of a cone of radius r and height h is
V = (1/3)*pi*r^2*h.
Here, V = (1/3)(3.14)(15 ft)^2*(60 ft) = 20*3.14*225 ft^3 = 14130 ft^3
<u>Answer:</u>
29 years
<u>Step-by-step explanation:</u>
- Given the function
, where x stands for the number of years since the material was put into the vault, we can plug 140 into x to find the amount leftover. - Another way of doing this is to change the function to
which are equivalent functions, and then plug 140 into x. This function is helpful if you also needed to find the rate. - I'll use the 1st function because the question doesn't ask for the rate

From here I'll just use a calculator & get 28.7, or 29 years.
Answer:
clockwise from left, the missing side lengths are 8 m, 13 m, 8 m
Step-by-step explanation:
The perimeter of the figure is the sum of the lengths of its sides. Sides with the same hash mark have the same length, so the perimeter (in meters) is ...
38 = (3x+1) +(2x) +(9) +(2x)
38 = 7x +10
28 = 7x . . . . . . subtract 10
4 = x . . . . . . . . divide by 7
Then the short sides are ...
2x = 2·4 = 8 . . . meters
and the long side is ...
3x+1 = 3·4 +1 = 13 . . . meters