1) We are given a hexagon there.
Sum of all angles of a hexagon is 720.
Therefore, sum of all angles inside pentagon =720.
We can step an equation as
x+100+102+108+121 = 720.
Adding 100+102+108+121, we get 431.
Therefore,
x+431 = 720.
Subtracting 431 from both sides, we get
x+431-431 = 720-431
x=289.
Therefore, measure of unknown angle x= 289 degrees.
2) Coordinates of the vertices of the given triangle
(-2,-9)
(7,-4)
(9,-7).
We need to graph the reflected triangle across the y-axis.
For reflected triangle across the y-axis we can apply rule
(x,y) --> (-x,y)
By applying above rule, we get the coordinates of reflected triangle as
(-2,-9) --> (2,-9)
(7,-4) --> (-7,-4)
(9,-7) --> (-9,-7).
Now, we can plot those coordinates on the graph and join the coordinates to form a triangle.
Answer: 2 hours and 27 minutes
jesus man i can't read a single thing
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Answer:
n = 29 iterations would be enough to obtain a root of that is at most away from the correct solution.
Step-by-step explanation:
You can use this formula which relates the number of iterations, n, required by the bisection method to converge to within an absolute error tolerance of ε starting from the initial interval (a, b).
We know
a = -2, b = 1 and ε = so
Thus, n = 29 iterations would be enough to obtain a root of that is at most away from the correct solution.
<u>You can prove this result by doing the computation as follows:</u>
From the information given we know:
This is the algorithm for the Bisection method:
- Find two numbers <em>a</em> and <em>b</em> at which <em>f</em> has different signs.
- Define
- If then accept c as the root and stop
- If then set <em>c </em>as the new<em> b</em>. Otherwise, set <em>c </em>as the new <em>a</em>. Return to step 1.
We know that and so we take and then
Because we set as the new <em>b.</em>
The bisection algorithm is detailed in the following table.
After the 29 steps we have that hence the required root approximation is c = -0.50
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