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3 years ago

What are the rigid transformations that will map AABC to ADEF?

Mathematics

1 answer:

asambeis [7]3 years ago

6 0

Answer:

A tranlation and a rotaion.

Step-by-step explanation:

In order to map the shapes, you have to translate point A onto point D and then rotate until points C and F, and B and E match up.

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A sample of 64 observations has been selected to test whether the population mean is smaller than 15. The sample showed an avera

KengaRu [80]

Answer:

Test statistic = - 0.851063

- 2.520463

Step-by-step explanation:

H0 : μ ≥ 15

H1 : μ < 15

Sample mean, xbar = 14.5

Sample standard deviation, s = 4.7

Sample size = 64

Teat statistic :

(xbar - μ) ÷ (s/√(n))

(14.5 - 15) ÷ (4.7/√(64))

= - 0.851063

The critical value at α = 0.05

Using the T - distribution :

Degree of freedom, df = 64 - 1 = 63

Tcritical(0.05, 63) = 1.6694

Test statistic - critical value

-0.851063 - 1.6694

= - 2.520463

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3 years ago

The function ƒ(x) = −(x + 3)^2 − 4 is not one-to-one. Find a portion of the domain where the function is one-to-one and find an

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Answer:

Step-by-step explanation:

The second one I believe.

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3 years ago

Write the equation of the line containing the point (4, 6) and having a slope of 4 in slope-intercept form.

aleksandr82 [10.1K]

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3 years ago

The endpoints of a diameter of a circle are A(3,2) and B(6,6). Find the area of the circle in terms of π.

Oksi-84 [34.3K]

Answer:

area of circle in terms of π is $\mathbf{Area=6.25\:\pi }$

Step-by-step explanation:

The endpoints of a diameter of a circle are A(3,2) and B(6,6). Find the area of the circle in terms of π.

The formula used to find area of circle is: $Area = \pi r^2$

We need to find radius of circle. For finding radius we will first find diameter of circle using distance formula.

Finding distance between points A(3,2) and B(6,6) using distance formula.

$Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have $x_1=3, y_1=2, x_2=6, y_2=6$

Putting values and finding distance

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-3)^2+(6-2)^2}\\Distance=\sqrt{(3)^2+(4)^2}\\Distance=\sqrt{9+16}\\Distance=\sqrt{25}\\Distance=5$

So, distance is 5, we can say that diameter of circle = 5

The formula used to find area of circle is: $Area = \pi r^2$

We need radius, so we know that r = d/2 so, radius = 5/2 = 2.5

Now finding area in terms of π

$Area = \pi r^2\\Area=(2.5)^2\pi \\Area=6.25\:\pi$

So, area of circle in terms of π is $\mathbf{Area=6.25\:\pi }$

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3 years ago

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Read 2 more answers

What are the rigid transformations that will map AABC to ADEF?​

What are the rigid transformations that will map AABC to ADEF?