For each set of three measures, determine if they can be angle measures of a triangle
1 answer:
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Answer:
A. 30.144
Step-by-step explanation:
This is a Chi-Squared test
Given:
- The significance level is 5%, so
To use the Chi-Square distribution table, you need to know two values:
- Degrees of freedom = (n - 1)
- Significance level
Degrees of Freedom = n - 1 = 20 - 1 = 19
The significance level is 5%, so
This is a one-tailed test since so Upper tail area = 0.05
Reading from the table (attached), the critical value is: 30.144
(This means that we reject if the test statistic is greater than 30.144)
Answer: Hello mate!
Clairaut’s Theorem says that if you have a function f(x,y) that have defined and continuous second partial derivates in (ai, bj) ∈ A
for all the elements in A, the, for all the elements on A you get:
This says that is the same taking first a partial derivate with respect to x and then a partial derivate with respect to y, that taking first the partial derivate with respect to y and after that the one with respect to x.
Now our function is u(x,y) = tan (2x + 3y), and want to verify the theorem for this, so lets see the partial derivates of u. For the derivates you could use tables, for example, using that:
and now lets derivate this with respect to y.
using that
Now if we first derivate by y, we get:
and now we derivate by x:
the mixed partial derivates are equal :)
The value of .
We know that,
➪ 95° + (3 +4)° + (4
- 3)° = 180°
➪ 3 + 4
+ 95° + 4° -3° = 180°
➪ 7 + 96° = 180°
➪ 7 = 180° - 96°
➪ 7 = 84°
➪ =
➪ = 12°
Therefore, the value of is 12°.
Now, the three angles of the triangle are 95°, 40° and 45° respectively.
✒ 95° + 40° + 45° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.