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3 years ago

What is true about every rotation?

Mathematics

2 answers:

Korvikt [17]3 years ago

8 0

Answer: A) The corresponding lengths, from the point of rotation, between the pre-image and image are preserved.

Step-by-step explanation:

A rotation is a rigid transformation that maps a figure by rotating it about some degrees from a particular point of rotation.

Since all the rigid motions produces congruent images. Therefore rotation too creates congruent images ( shape and size remains same) .

And corresponding sides of congruent images are also congruent.

Therefore, The corresponding lengths, from the point of rotation, between the pre-image and image are preserved.

Hence, the correct answer is option (A).

defon3 years ago

4 0

I believe the answer is A.

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Pls give answer for 9c thanks

harina [27]

Answer:

probability for 3 on a dice (P3) in one dice =

$\frac{1}{6}$

probability for even no. of a dice (Pe) =

$\frac{3}{6} = \frac{1}{2}$

Therefore, the probability of finding 3 on one dice and even on another (P) = P3 + Pe

$= \frac{1}{6} + \frac{1}{2} = \frac{1 + 3}{6} = \frac{4}{6} = \frac{2}{3}$

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1 year ago

How to write 7,777.7 in words and numbers?<br> Plz help!!!

likoan [24]

Seven thousand, seven hundred seventy seven and seven tenths

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3 years ago

Read 2 more answers

The surface area of a right circular cone of radius r and height h is S = πr√ r 2 + h 2 , and its volume is V = 1 3 πr2h. What i

kirill115 [55]

Answer:

Required largest volume is 0.407114 unit.

Step-by-step explanation:

Given surface area of a right circular cone of radious r and height h is,

$S=\pi r\sqrt{r^2+h^2}$

and volume,

$V=\frac{1}{3}\pi r^2 h$

To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,

$f(r,h)=\frac{1}{3}\pi r^2 h$

subject to,

$g(r,h)=\pi r\sqrt{r^2+h^2}=8\hfill (1)$

We know for maximum volume $r\neq 0$ . So let $\lambda$ be the Lagranges multipliers be such that,

$f_r=\lambda g_r$

$\implies \frac{2}{3}\pi r h=\lambda (\pi \sqrt{r^2+h^2}+\frac{\pi r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}r h= \lambda (\sqrt{r^2+h^2}+\frac{ r^2}{\sqrt{r^2+h^2}})\hfill (2)$

And,

$f_h=\lambda g_h$

$\implies \frac{1}{3}\pi r^2=\lambda \frac{\pi rh}{\sqrt{r^2+h^2}}$

$\implies \lambda=\frac{r\sqrt{r^2+h^2}}{3h}\hfill (3)$

Substitute (3) in (2) we get,

$\frac{2}{3}rh=\frac{r\sqrt{R^2+h^2}}{3h}(\sqrt{R^2+h^2+}+\frac{r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}rh=\frac{r}{3h}(2r^2+h^2)$

$\implies h^2=2r^2$

Substitute this value in (1) we get,

$\pi r\sqrt{h^2+r^2}=8$

$\implies \pi r \sqrt{2r^2+r^2}=8$

$\implies r=\sqrt{\frac{8}{\pi\sqrt{3}}}\equiv 1.21252$

Then,

$h=\sqrt{2}(1.21252)\equiv 1.71476$

Hence largest volume,

$V=\frac{1}{3}\times \pi \times\frac{\pi}{8\sqrt{3}}\times 1.71476=0.407114$

3 0

3 years ago

A large two topping from Tonys pizzaeria has 8 slices and costs $16.00 vivian wants to know the cost per slice

Alla [95]

Answer:

divide

Step-by-step explanation:

you divide and then use that 2 to 1 ratio

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4 years ago

What are the coordinates for D,E and F? How do u know?<br> Triangle Mid segment Theorem

Otrada [13]

Answer:

Hope this helps!!

Step-by-step explanation:

F:(-1,-4)

E:(-2,0)

D:(-2,-5)

The Midsegment Theorem states that the midsegment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this midsegment is half the length of the third side.

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3 years ago