Trigonometry transformations

2.<br> what do i put im confused and dont know how to do this

Paha777 [63]

Answer:

Step-by-step explanation:

The two dots on the bottom of this figure define the base of a triangle. If we now use a compass to draw the blue arcs on either side, as shown, the arcs will intersect at two points. A straight line drawn through these two points will be perpendicular to the base. The triangle will be isosceles and could be (but doesn't have to be) equilateral.

3 0

3 years ago

Factor the polynomial. 7x2 + 68xy - 20y2 A) (7x - 2y)(x + 10y) B) (7x - 10y)(x - 2y) C) (7x + 10y)(x + 2y) D) (7x + 2y)(x - 10y)

Otrada [13]

For this case we have the following polynomial:
7x2 + 68xy - 20y2
Factoring we have:
(7x-2y) (x + 10y)
We verify the factorization:
7x2 + 70xy - 2xy - 20y2
Rewriting we have:
7x2 + 68xy - 20y2
Therefore, the factorization is correct.
Answer:
A) (7x - 2y) (x + 10y)

5 0

3 years ago

The coordinates of LMN are L (4,5), M (5,-2), and N (0,0). If the triangle is rotated 270° about point N, what are the coordinat

tester [92]

Answer: (-2,-5)

Step-by-step explanation:

The rotation rule for rotating a figure about $270^{\circ}$ is given by :-

$(x,y)\to (y,-x)$ , where (x,y) is the coordinates for pre-image and (y,-x) is the coordinates for image. (1)

Given : The coordinates of LMN are L (4,5), M (5,-2), and N (0,0).

If the triangle is rotated 270° about point N

Then, the coordinates of M , will be :

$(5,-2)\to (-2,-5)$ (Using the rule described in (1))

Hence, the coordinates of M after rotated 270° about point N=(-2,-5).

8 0

4 years ago

Suppose a local manufacturing company claims their production line has a variance of less than 9.0. A quality control engineer d

Alexxx [7]

Answer:

$\chi^2 =\frac{35-1}{9} 2.12^2 =16.979$

$p_v =P(\chi^2$

If we compare the p value and the significance level provided we see that $p_v$ so on this case we have enough evidence in order to reject the null hypothesis at the significance level provided. And that means that the population variance is significantly lower than 9

Step-by-step explanation:

Notation and previous concepts

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

$n=35$ represent the sample size

$\alpha=0.01$ represent the confidence level

$s =2.12$ represent the sample deviation obtained

$\sigma_0 =3$ represent the value that we want to test

Null and alternative hypothesis

On this case we want to check if the population variance specification is lower than 9 and the deviation lower than 3, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 \geq 9$

Alternative hypothesis: $\sigma^2$

Calculate the statistic

For this test we can use the following statistic:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

$\chi^2 =\frac{35-1}{9} 2.12^2 =16.979$

Calculate the p value

In order to calculate the p value we need to have in count the degrees of freedom , on this case df= n-1= 35-1=34. And since is a left tailed test the p value would be given by:

$p_v =P(\chi^2$

In order to find the p value we can use the following code in excel:

"=CHISQ.DIST(16.979,34,TRUE)"

Conclusion

If we compare the p value and the significance level provided we see that $p_v$ so on this case we have enough evidence in order to reject the null hypothesis at the significance level provided. And that means that the population variance is significantly lower than 9

6 0

4 years ago

Which angles are corresponding angles?

Katena32 [7]

Corresponding angles are defined as angles that are on the same side of the transversal (given the lines are parallel, which they are) and are on the same side of the parallel lines. Choices D, E, and F are angles on the same side of the transversal and on the same side of the parallel lines.

:)

5 0

3 years ago

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