6,250
1,000/4,000 = 25/100
25/100 = x/5,000
x = 1,250
5,000 + 1,250 = 6,250
Answer:
8
Step-by-step explanation:
The lateral area of a cone is ...
LA = (π/2)ds
where d is the diameter, and s is the slant height.
The area of this tower roof is about ...
LA = (π/2)(12 ft)(13 ft) = 78π ft² ≈ 245 ft²
About 245/32 = 7.7 bundles of shingles will be required for coverage.
You should buy 8 bundles of shingles to cover the roof.
Answer:
<h3>36 and 12</h3>
Step-by-step explanation:
Let the two positive integers be x and y.
If their product is 432, then
xy = 432 ......... 1
Also if the sum of the first plus three times the second is a minimum, then;
p(x) = x + 3y
From 1;
y = 432/x ..... 3
Substitute 3 into 2;
p(x) = x+3y
p(x)= x + 3(432/x)
p(x) = x + 1296/x
Since the expression is at minimum when dp(x)/dx = 0
dp/dx = 1 + (-1296)/x²
dp/dx = 1 -1296/x²
0 = 1 -1296/x²
0 = (x²-1296)/x²
cross multiply
0 = x²-1296
x² = 1296
x = √1296
x = 36
Since xy = 432
36y = 432
y = 432/36
y = 12
Hence the two positive numbers are 36 and 12
