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Answer
Find out the how many of each metal did your team win.
To prove
As given
Your team wins 18 medals at a competition.
The metals are gold, silver, and bronze in a ratio of 2:4:3.
Let us assume that x be the scalar multiple of the gold, silver and bronze medal.
Thus
Number of gold medal = 2x
Number of silver medal = 4x
Number of bronze medal = 3x
Than the equation becomes
2x + 4x + 3x = 18
9x = 18
x = 2
Number of gold medal = 2 × 2
= 4
Number of silver medal = 4 × 2
= 8
Number of bronze medal = 3 × 2
= 6
Therefore the number of gold medal are 4, silver medal are 8, bronze medal are 6.
Answer:
f'(x) = -1/(1 - Cos(x))
Step-by-step explanation:
The quotient rule for derivation is:
For f(x) = h(x)/k(x)
In this case, the function is:
f(x) = Sin(x)/(1 + Cos(x))
Then we have:
h(x) = Sin(x)
h'(x) = Cos(x)
And for the denominator:
k(x) = 1 - Cos(x)
k'(x) = -( -Sin(x)) = Sin(x)
Replacing these in the rule, we get:
Now we can simplify that:
And we know that:
cos^2(x) + sin^2(x) = 1
then: