As per the combination method, there are 15 different ways are possible for this situation.
Combination method:
Combination method also known as NCR is a formula of combination and arrangement, where the object's order does not matter so much.
Given,
Here we have to find the number of ways to be selected as the best student and another student is to be selected as a runner-up among the 6 students.
Here we know that that the value of
Total number of students = 6
Best student = 1
Runner - up = 1
So, as per the NCR formula, the value of n = 6 and the value of r = 2
Then the possible combinations are calculated as,
=> ⁶C₂ = 6! / 2!(6 - 2)!
=> ⁶C₂ = 6!/2!4!
=>⁶C₂ = 15
Therefore, the resulting number of ways is 15.
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Answer:
sry I just wanted the points I'm in middle school so I don't know this stuff either
Answer:
1
Step-by-step explanation:
y-y1=m(x-x1)
y1= y-coordinate of a point
(-2,1)
the y-coordinate is 1
Hello :
sin(x) + cos(x) = √2(1/√2 sin(x) +1/√2 cos(x))
but : 1/√2 = cos(π/4) = sin(<span> π/4)
</span>sin(x) + cos(x) = √2( cos(π/4)sin(x) + sin( π/4) cos(x)) =√2<span>sin(x + π/4)
</span>because : cos(π/4)sin(x) + sin( π/4) cos(x)=sin(x + π/4) by identity :
sin(a+b) = sina cosb +cosa sinb
Answer:
62°
Step-by-step explanation:
Given that the triangle has two angle measures of 41° and 77°.
All the angles in a triangle must add up to 180° (e.g. 20° + 60° + 100°). So we write a simple equation to solve for the mystery angle measure:
Let x = the missing measure

Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation: 
Then we subtract 118 from both sides to isolate x - this will give us the value of this variable: 
Therefore, the third angle must have a measure of 62°.