The volume of the cylinder is approximately 1582.2 cubic feet when rounded to the nearest tenths place.
To find the volume of a cylinder, you can use the formula:
Volume (V) = π × r² × h
Where:
V is the volume of the cylinder.
π (pi) is approximately 3.14159.
r is the radius of the base.
h is the height of the cylinder.
In this case, the base diameter is given, but you need to find the radius, which is half of the diameter:
Radius (r) = Diameter / 2 = 12 ft / 2 = 6 ft
Now, you can plug these values into the formula and calculate the volume:
Volume (V) = π × (6 ft)² × 14 ft
Volume (V) = 3.14159 × 36 ft² × 14 ft
Volume (V) ≈ 3.14159 × 504 ft³
Volume (V) ≈ 1587.82336 ft³
Rounding to the nearest tenth, the volume of the cylinder is approximately 1587.8 cubic feet
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Answer:
27=x
Step-by-step explanation:
We can use the triangle angle bisector theorem
x+8 2x-5
--------- = ------------
10 14
Using cross products
14(x+8) = 10 (2x-5)
Distribute
14x +112 = 20x -50
Subtract 14x from each side
14x-14x +112 = 20x-14x -50
112 = 6x-50
Add 50 to each side
112+50 = 6x-50+50
162 = 6x
Divide by 6
162/6 = 6x/6
27=x
Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Applying log both sides
Answer:
g = 8. (Answer C)
Step-by-step explanation:
We are given 8/3 = g/3.
If we multiply both sides by 3, this will eliminate the fractions, and we will be left with g = 8. (Answer C).
The solution to the proportion 8/3 = g/3 is g = 8, corresponding to option C.
In this proportion, the value of g can be found by solving the equation 8/3 = g/3. Because both sides of the equation are divided by 3, the 3's essentially cancel each other out, leaving you with g = 8.
Therefore, the solution to the proportion 8/3 = g/3 is g = 8. So, the correct answer is C. 8.
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Sample Response: A rational number can be expressed as a whole number, a fraction, or decimal that has either terminating or repeating digits. A square root of a perfect square is rational. If it is none of these, then the number is irrational.