<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.
___
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
Answer:
11%
Step-by-step explanation:
<em>Percentage increase = (New average- previous average)/previous average x 100</em>
<em>New average: 1554</em>
<em>Previous average: 1400</em>
Percentage increase = (1554-1400)/1400 x 100
Percentage increase = 154/1400 x 100
Percentage increase = 0.11 x 100
Percentage increase = 11%
Therefore, the average increased by 11%.
!!
ANSWER: Multiply out front and multiply under the radicals. "The radical of a product is equal to the product of the radicals of each factor." "The radical of a quotient is equal to the quotient of the radicals of the numerator and denominator."
This week the number of lawns "times" 25 and his allowance = $345
Therefore...
25x + 20 = 345
- 20 -20
25x = 325
Now divide both sides by the coefficient (25)... and that will be the number of lawns he mowed.
Hope this helps!
Answer:
Hi there!
The correct answer is 95°
Step-by-step explanation:
Okay if you look at the picture, 95 degrees' supplementary angle is 85 degrees. A supplementary angle means it adds up to 180°. So that means the angle that is supplementary to 85 is 95. **Keep in mind since they did not tell that the sides are parallel you cannot assume that 95° and angle x° are vertical so this is the safest way to solve the problem**
