Answer:
V =298.49625 in^3
Step-by-step explanation:
Volume of a cylinder is given by
V = pi * r^2 *h
We know the diameter so we can find the radius
r = d/2 =6.5/2 = 3.25
and we know the height =9
V = pi * (3.25)^2 *9
V = pi*95.0625
If we approximate by 3.14
V = 3.14*95.0625
V =298.49625 in^3
Let L be the low copper alloy and H be the high copper alloy.
We need 0.15L + 0.60H = 0.42 and L + H = 100
L=100 - H
Substituting this into the second equation for L, we get:
0.15(100-H) + 0.60H = 0.42(H+L)
15 - 0.15H + 0.60H = 0.42(H+100-H)
15 + 0.45H = 0.42(100)
0.45H = 42 - 15 = 27
H = 27/.45 = 60 lbs
Back substitution, L = 40 lbs.
Given:
12 rectangular planks
2 sides per plank
Length = 8 ft
Width = 3 ft
Area of a rectangle = Length * Width.
A = 8ft * 3ft
A = 24 ft²
24 ft² x 2 sides of a plank = 48 ft²
48 ft²/plank * 12 planks = 576 ft² is the total area Alex needs to varnish.
576 ft² ÷ 125 ft² = 4.608 pint or round to 5 pints
5 pints x $3.50/pint = $17.50 Total cost that Alex need to spend to varnish all the wooden planks.
Answer:
Perimeter = 24p + 17
Step-by-step explanation:
Perimeter = the sum of the sides of the figure.
Perimeter = (7p + 9) + (10p - 1) + (7p + 9)
Perimeter = (7p + 10p + 7p) + (9 - 1 + 9)
Perimeter = 24p + 17
