Answer:
23.1%
Step-by-step explanation:
Given data
monthly taxable income was $3276.54
Tax= $757.24
Percentage of tax paid= tax paid/monthly income* 100
Percentage of tax paid=757.24/3276.54* 100
Percentage of tax paid=0.231* 100
Percentage of tax paid=23.1%
<h3>
Answer:</h3>
- using y = x, the error is about 0.1812
- using y = (x -π/4 +1)/√2, the error is about 0.02620
<h3>
Step-by-step explanation:</h3>
The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.
If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...
... x -sin(x) @ x=π/3
... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812
You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.
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If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...
... (x+1-π/4)/√2 -sin(x) @ x=π/3
... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620
Triangle Inequality Theorem is used to find the inequality for a triangle when it only gives you two sides
<em><u>Solution:</u></em>
We can find the inequality for a triangle when it only gives you two sides by Triangle Inequality Theorem
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
This rule must be satisfied for all 3 conditions of the sides.
Consider a triangle ABC,
Let, AB, BC, AC be the length of sides of triangle, then we can say,
Acoording to Triangle Inequality Theorem,
sum of any 2 sides > third side
BC + AB > AC
AC + BC > AB
AB + AC > BC
For example,
When two sides, AB = 7 cm and BC = 6 cm is given
we have to find the third side AC = ?
Then by theorem,
Let AC be the third side
AB + BC > AC
7 + 6 > AC
Thus the inequality is found when only two sides are given
It's 9! or 9*8*7*6*5*4*3*2*1 which is equal to 362,880
(fg)x = f(g(x)) = 6(4x+1) = 24x + 6
