Answer:
1 4/5
Step-by-step explanation:
When you divide 9 into groups of 5, you have one whole group and 4/5 of a second group. Diagram is attached below.
Question 4 of 10
1 answer:
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<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
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
Answer:
32 cm
Step-by-step explanation:
Since this triangle (formed by construction) is a 45 45 90 triangle, this means that the ratio between one of the sides (a) and the hypotenuse (h) is <em><u>h = a * </u></em>
This means that all of the sides are 8 since 8 * is the diagonal. Multiply 8 by 4 to get your answer, 32 cm.