Jason has 20 coins composed of nickels and dimes. If the total value is $1.10 how many coins of each does he have
1 answer:
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Answer:
x = tan⁻¹(⅘)
Step-by-step explanation:
We can solve for x by using trigonometric ratios (sin, cos, and tan)
We need to apply the appropriate ratio that uses the two sides 8 and 10 from the perspective of x. See attached image for information about ratios. (Source: Math is Fun)
The tangent ratio is opposite divided by adjacent. It will relate x to the two sides. So we would write
tan(x) = ⁸⁄₁₀
Then we simplify and move the tan to the other side by multiplying both sides by the inverse of tan (since you cannot divide by tan)
tan(x) = ⅘
x = tan⁻¹(⅘)
Then we can use a calculator to evaluate x
If you want to find y, now that you have two angles of the triangle, you can find the sum of 90 + x and subtract that from 180 (since all angles of a triangle add up to 180) to find y.
Answer:
f(0,0)=ln19
Step-by-step explanation:
is given as continuous function, so there exist
and it is equal to f(0,0).
Put x=rcosA annd y=rsinA
we know that , so we have that
So f(0,0)=ln19.