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3 years ago

. How are rotations represented as a function?

Mathematics

1 answer:

sergey [27]3 years ago

4 0

Answer:

These rotations above are represented as a function, that is, an application between to sets. ... So, basically, rotations as functions are transformations of a relation between to sets to another relation, where this last relation would be different, according to the rotation.

Step-by-step explanation:

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PLEASE HELP! I'll give 5 out of 5 stars, give thanks, and give as many points as I can.

Liula [17]

Answer:

$\boxed{\boxed{x=\dfrac{\pi}{3}\ \vee\ x=\pi\ \vee\ x=\dfrac{5\pi}{3}}}$

Step-by-step explanation:

$\cos(3x)=-1\iff3x=\pi+2k\pi\qquad k\in\mathbb{Z}\\\\\text{divide both sides by 3}\\\\x=\dfrac{\pi}{3}+\dfrac{2k\pi}{3}\\\\x\in[0,\ 2\pi)$

$\text{for}\ k=0\to x=\dfrac{\pi}{3}+\dfrac{2(0)\pi}{3}=\dfrac{\pi}{3}+0=\boxed{\dfrac{\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=1\to x=\dfrac{\pi}{3}+\dfrac{2(1)\pi}{3}=\dfrac{\pi}{3}+\dfrac{2\pi}{3}=\dfrac{3\pi}{3}=\boxed{\pi}\in[0,\ 2\pi)\\\\\text{for}\ k=2\to x=\dfrac{\pi}{3}+\dfrac{2(2)\pi}{3}=\dfrac{\pi}{3}+\dfrac{4\pi}{3}=\boxed{\dfrac{5\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=3\to x=\dfrac{\pi}{3}+\dfrac{2(3)\pi}{3}=\dfrac{\pi}{3}+\dfrac{6\pi}{3}=\dfrac{7\pi}{3}\notin[0,\ 2\po)$

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3 years ago

Read 2 more answers

Will give brainliest but it Has to be correct.

Kisachek [45]

Answer: 6/8 inch

Step-by-step explanation:

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2 years ago

What's 54/99 simplified

alexandr402 [8]

54/99 simplified is：

54/99= 6/11

The answer is 6/11

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3 years ago

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sashaice [31]

A . 1/15 equals 0.66 b. 5/12 equals 0.4166 c. 1/3 equals 0.333 d. 5/12 equals 4.6 as a round number 8). 0.4 equals 4/10 equals 2/5 9) 7.32 equals 7 3/2 10) 0.2 equals 2/10 equals 1/5 Hope this helps:)

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3 years ago

Find the total surface area of the prism. geometry hw. plz help me

tia_tia [17]

Answer:

152

Step-by-step explanation:

Hello there!

The prism shown is a triangular prism

There are many different formulas for solving for the surface area of a triangular prism but I am going to use the most simple one

Formula: SA = bh + L(s1 + s2 + s3) (found in the image)

b = base length

h = height

L = length

s1 = (same thing as the base length)

s2 and s2 = other triangle side lengths ( the base is an isosceles triangle so they are equal to each other.)

The triangular prism has the following dimensions

b = 6

h = 4

L = 8

s2 and s3 = 5

Now that we have identified each dimension we plug in the values into the formula

SA = 6*4 + 8(6+5+5)

6*4=24

8*6=48

8*5=40

40*2=80

80+48=128

128 + 24 = 152 so the surface area of the triangular prism is 152 cm²

5 0

3 years ago