The two triangles formed by the flagpole and the man shown below are similar.
2 answers:
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So the first thing we need to do is set up an equation (using x to represent the number). Then, we'll solve it to get the answer.
Step 1: Translate the word problem into an equation
Word problem: The sum of nine and six-tenths and a number is thirteen and two-tenths.
Equation: + x =
Step 2: Isolate x by subtracting from each side
+ x -
=
-
Step 3: The numbers on the left cancel out, leaving x alone
x =
Step 4: Convert the answer to decimals
x = 3.6
Answer:
Standard Complex Form :
Step-by-step explanation:
We want to rewrite this expression in standard complex form. Let's first evaluate cos(5π / 6). Remember that cos(x) = sin(π / 2 - x). Therefore,
cos(5π / 6) = sin(π / 2 - 5π / 6),
π / 2 - 5π / 6 = - π / 3,
sin(- π / 3) = - sin(π / 3)
And we also know that sin(π / 3) = √3 / 2. So - sin(π / 3) = - √3 / 2 = cos(5π / 6).
Now let's evaluate the sin(5π / 6). Similar to cos(x) = sin(π / 2 - x), sin(x) = cos(π / 2 - x). So, sin(5π / 6) = cos(- π / 3). Now let's further simplify from here,
cos(- π / 3) = cos(π / 3)
We know that cos(π / 3) = 1 / 2. So, sin(5π / 6) = 1 / 2
Through substitution we receive the expression 25( - √3 / 2 + i(1 / 2) ). Further simplification results in the following expression. <u>As you can see your solution is option a.</u>