The formula to solve for thee area of a square pyramid is [ V = 1/3 * b² * h ]
b² = base area (b = length of one side of the base)
h = height
The only option that as a base length of 12cm. and a height of 14cm. is the first option.
Solve for the volume if needed.
V = 1/3(12²)(14)
V = 1/3(144)(14)
V = 1/3(2,016)
V = 672cm²
Best of Luck!
9/19 = x / 152....9 oz oil to 19 gallons gas = x oz oil to 152 gallons gas
cross multiply because this is a proportion
(19)(x) = (152)(9)
19x = 1368
x = 1368/19
x = 72 oz of oil <==
This can be expressed as exponential growth of the form:
f=ir^t, f=final amount, i=initial amount, r=common ratio (rate), t=time
In this case we are given the point (2, 6500) and i=5000 so we can solve for the rate...
6500=5000r^2 divide both sides by 5000
1.3=r^2 take the square root of both sides and note that we know r>0
r=1.3^(1/2) so our equation becomes:
f=5000(1.3)^(1/2)^t and knowing that (a^b)^c=a^(b*c) we can say:
f=5000(1.3)^(t/2) so for t=18
f=5000(1.3)^9
f≈53022 (to nearest whole bacteria)
Answer:
The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.
Step-by-step explanation:
Volume of the Cylinder=400 cm³
Volume of a Cylinder=πr²h
Therefore: πr²h=400
Total Surface Area of a Cylinder=2πr²+2πrh
Cost of the materials for the Top and Bottom=0.06 cents per square centimeter
Cost of the materials for the sides=0.03 cents per square centimeter
Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)
C=0.12πr²+0.06πrh
Recall:
Therefore:
The minimum cost occurs when the derivative of the Cost =0.
r=3.17 cm
Recall that:
h=12.67cm
The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.
