Answer:
The rational number equivalent to 3.24 repeating is 321/99
Step-by-step explanation:
To convert the decimal number to a rational number we can state this number and its multiples of 10, trying to find two number with identical decimal parts:
n=3.24242424...
10n=32.4242424....
100n=324.2424242...
Now, 100n and n have the same decimal part, then by subtracting these numbers we obtain:
100n-n=324.24242424...-3.24242424... = 321
99n = 321
n = 321/99
True. To solve for y you have to subtract 2 from both sides of the equation.
When dealing with percentages it is often much easier to convert it to a decimal (mostly because a lot of people are uncomfortable working with fractions) but in this case, I suggest dividing 1 into 5 [hint hint fractions are just glorified division in the long run] and after you have done that multiply by 100. This will get you your answer.
Mathematical Work:
f(x)=x+8
g(x)=x2-6x-7
f(g(2))=(2^2-6(2)-7)+8
f(g(2))=(4-12-7)+8
f(g(2))=-7
Explanation:
f(x)=x+8
g(x)=x2-6x-7
f(g(2))=?
2 was given as the x for function g and when you substitute 2 into function g's equation(g(2)=(2^2-6(2)-7)=-15, you would get -15. The answer to function g would be the x for function f. Which would be f(-15)=-15+8 and the answer for f(g(2)) is -7.
Answer:
The answer to your question is x = 35°
Step-by-step explanation:
Data
angle x = ?
Opposite side = 7
Adjacent side = 10
Process
To answer this question use trigonometric functions. The trigonometric function that relates the Opposite side and the adjacent side is the tangent.
Tan x = Opposite side / Adjacent side
- Substitution
Tan x = 7 / 10
- Simplification
Tan x = 0.7
- Result
Tan⁻¹ x = x = 34.99 or x ≈ 35°
