Answer:
Step-by-step explanation:
As you're used to do in the real plane, midpoint is the average of Real and Imaginary part. So 
Answer:
The answer to your question is below
Step-by-step explanation:
Data
Volume = 270 cm³
height = 5 cm
length = ?
width = ?
Formula
Volume of a rectangular prism = height x length x width
- Solve for Area of the base (height x length)
Area of the base = Volume / height
-Substitution
Area of the base = 270 / 5
-Result
Area of the base = 54 m²
2.- Find the prime factors of 54
54 2
27 3
9 3
3 3
1
3.- The possible values of the sidas of the rectangle are:
Combining the prime factor of 54.
Length Width
2 x 3 = 6 and 3 x 3 = 9
or 2 x 3 x 3 = 18 and 3 x 1 = 3
or 3 x 3 x 3 = 27 and 2 x 1 = 2
Answer: 804 meters
Step-by-step explanation:
Area of a circle = πr²
Radius = 16m
π(16)² = 804.2477193 meters
Answer:
Step-by-step explanation:
You know how subtraction is the <em>opposite of addition </em>and division is the <em>opposite of multiplication</em>? A logarithm is the <em>opposite of an exponent</em>. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.
We know that 
; as a logarithm, the <em>exponent</em> gets moved to its own side of the equation, and we write the equation like this: 
, which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."
One historical quirk: because we use the decimal system, it's assumed that an expression like 
uses <em>base 10</em>, and you'd interpret it as "What power do I raise 10 to to get 1000?"
The expression 
means "the power you need to raise 10 to to get 100 is x," or, rearranging: "10 to the x is equal to 100," which in symbols is .
(If we wanted to, we could also solve this: 
, so 
)
