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Nuetrik [128]
3 years ago
12

Which composition of transformations would be the inverse of rotating a figure 90° counterclockwise and then reflecting it over

the x-axis?
Mathematics
2 answers:
Katen [24]3 years ago
4 0
The answer would be a rotation. I hope this helped ^^
Sidana [21]3 years ago
3 0

Answer:

reflecting it over the x-axis, then over the y-axis and finally over the line y = x is the correct answer.

Step-by-step explanation:

Rotating a figure counterclockwise 90° and then reflecting it over the x-axis causes the coordinates to change from (x, y) to (-y, -x). To find the inverse you need to find a set of transformations that will take the coordinates (-y, -x) and change them to (x, y). When you reflect a figure over the x-axis the coordinates change from (-y, -x) to (-y, x). If you then reflect it over the y-axis the coordinates would change from (-y, x) to (y, x) and finally reflecting that point over the line y =x would cause the coordinates to change from (y, x) to (x, y).

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The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Angelina_Jolie [31]

Answer:

Group A, because seven children have a forearm length longer than 10 inches

Step-by-step explanation:

Create the dot plots based on the given information (please see attached images).

Group A = blue dots

Group B = red dots

From inspection of the attached dot plots, we can see that Group A appears to have the longer average forearm length.  This is because 7 children have a forearm length of longer than 10 inches.

To calculate the average forearm length, sum all data values and divide by the total number of data values.

\textsf{Average of Group A}=\dfrac{ 3 \times 10 + 4 \times 11 + 3 \times 12}{10}=11

\textsf{Average of Group B}=\dfrac{ 3 \times 9 + 5\times 10+ 2\times 11}{10}=9.9

Thus proving that Group A has the longer average former length.

7 0
2 years ago
Read 2 more answers
Going to college can cost a lot! What are some costs of attending college? Come up with at least 3 different costs.
scoray [572]
Buying books, your dorm and maybe a ride to get to school
6 0
3 years ago
Read 2 more answers
Find the circumference of each circle. Use 3.14 for the value of π . Round answer to the nearest tenth.
kvv77 [185]

Answer:

C=9.4\pi meters

Step-by-step explanation:

Recall to find the circumference of a circle the formula is C=\pi d or C=2\pi r.

We start by substituting 4.7m for r in the second circumference formula.

C=2\pi r\\C=2\pi (4.7)\\C=9.4\pi. We input this value of r into the area formula.


8 0
3 years ago
Read 2 more answers
A research study was performed to determine if more than 30% of first-grade students at one school have entered Piaget’s concret
suter [353]

Answer:

Type I error

Step-by-step explanation:

A type I error occurs if the null hypothesis is rejected when it is actually true.

Type I                                      Type II

Reject null when true           Fail to reject null when not true

Null hypothesis: ∪ = 30%

Alternative hypothesis: ∪ > 30%

The researchers concluded that more than 30% of first-grade students at this school have entered the concrete operational stage of development and they rejected the null hypothesis.

However, a census actually found that in the population of all first graders at this school, only 28% have entered the concrete operational stage.

A type I error has been made because in actuality the null hypothesis was true but was rejected.

7 0
3 years ago
(8Q) Tell whether the function exhibits damped oscillation. If it does, identify the damping factor and tell whether the damping
dezoksy [38]

Answer:

Option c.

No damping

Step-by-step explanation:

We can easily solve this question by using a graphing calculator or any plotting tool.

The function is

f(x) = (√11)*cos(3.7x)

Which can be seen in the picture below

We can notice that f(x) is a cosine with maximum amplitude of  (√11). Neither this factor nor the multiplication of x by 3.7 serve as a damping factor since they are constants.

f(x) does not present any dampening

5 0
3 years ago
Read 2 more answers
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