6L = 6,000ML
54,000ML = 54L
Answer:
There are 10 possible ways the student can schedule the three classes
Step-by-step explanation:
The college student is choosing 3 classes to take during the first, second, and third semester from 5 electives.
Therefore, the student is choosing 3 items from a total of 5 and the order is not of key concern here. This is thus a combination problem;
5C3 = 10
read as 5 choose 3
The above mathematical operation can be performed using any modern calculator.
<span>The sum of the exterior angles of a polygon is always 360 degrees.
You have 6 sides. Each exterior angle must then be 360/60 = 60</span>°
x= 3+√5/4,3-√5/4
Step-by-step explanation:
1.In general, given ax^2+bx+c=0, there exists two solutions where:
x= -b+√b^2 - 4ac/2a, -b-√b^2-4ac/2a
2.In this case, a=4, b=-6 and c=1.
x=6+√(-6)^2-4×4/2×4, 6-√(-6)^2-4×4/2×4
3.Simplify.
x=6+2√5/8, 6-√5/8
4.Simplify solutions.
x=3+√5/4, 3-√5/4
The solution to 1 - cos(6x) is 2sin²(x).
Hence, option B) 2sin²(x) is the correct answer.
<h3>What is solution to 1 - cos(6x)?</h3>
Given that; 1 - cos(6x) = ?
First, we rewrite using trig identity
1 - cos(2 × 3x)
Using the double angle identity, { <em>cos2(x) = 1 - 2sin²(x)</em> }
1 - ( 1 - 2sin²(x) )
Eliminate the parentheses
1 - 1 + 2sin²(x)
2sin²(x)
The solution to 1 - cos(6x) is 2sin²(x).
Hence, option B) 2sin²(x) is the correct answer.
Learn more about trig identity here: brainly.com/question/10376944
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