Stan wants to make a rectangular garden. he has 34 ft of fencing to put around the perimeter. if the length is to be 5 ft more t
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Answer:
The correct options are:
- g(x) is shifted three units higher than f(x).
- g(x) has a period that is half the period of f(x).
Step-by-step explanation:
We have to compare the graphs of the function:
and
We have to select the correct options among the following:
As we know that the period of sine function is 2π.
i.e. Period of function f(x) is: 2π.
The period of sin(2 x) is π.
Hence, the period of the function g(x) function is π.
- Hence, the period of g(x) is half the period of f(x).
- Also we could observe that g(x) is shifted 3 units upward.
The area of triangle ABC is the amount of space on the triangle
The area of the triangle is 54.84 square units
<h3>How to determine the area of triangle ABC</h3>Start by drawing the triangle (see attachment)
Next, calculate the measure of angle B using the following tangent ratio
This gives
Take the arc tan of both sides
Multiply by 2
Next, calculate the length of side AD using the following equation
This gives
The area of the triangle is then calculated as:
This gives
Hence, the area of the triangle is 54.84 square units
Read more about areas at:
Answer:
Step-by-step explanation:
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The applicable rules of logarithms are ...
log(ab) = log(a) +log(b)
log(a/b) = log(a) -log(b)
log(a^b) = b·log(a)