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3 years ago

How many degrees would you need to rotate a figure for the image to coincide with the pre-image?

1 answer:

4 0

Hi there!

You would need to rotate an image 360 degrees for the figure out image to coincide with the previous image.

For example, if I rotated a triangle 360 degrees, it would be in the same place as it was before.

Hope this helps!

You might be interested in

Ship collisions in the Houston Ship Channel are rare. Suppose the number of collisions are Poisson distributed, with a mean of 1

alexandr1967 [171]

Answer:

$a) \simeq 0.3012$ $b) \simeq 0.0494$ c) $\simeq 0.2438$

Step-by-step explanation:

Rate of collision,

1.2 collisions every 4 months

or, $\frac{1.2}{4}$

= 0.3 collisions per month

So, the Poisson distribution for the random variable no. of collisions per month (X) is given by,

P(X =x) = $\frac{e^{-\lambda}\times {\lambda}^{x}}}{x!}
$

for x ∈ N ∪ {0}

= 0 otherwise --------------------------------------(1)

here, $\lambda = 0.3$ collision / month

No collision over a 4 month period means no collision per month or X =0

Putting X = 0 in (1) we get,

P(X = 0) = $\frac{e^{-0.3}\times {\0.3}^{0}}{0!}
$

$\simeq 0.7408182207$ ------------------------------------(2)

Now, since we are calculating this for 4 months,

so, P(No collision in 4 month period)

= $0.7408182207^{4}$

$\simeq 0.3012$ -----------------------------------------------------------(3)

2 collision in 2 month period means 1 collision per month or X =1

Putting X =1 in (1) we get,

P(X =1) = $\frac{e^{-0.3}\times {\0.3}^{1}}{1!}
$

$\simeq 0.2222454662$ ------------------------------------(4)

Now, since we are calculating this for 2 months, so ,

P(2 collisions in 2 month period)

= $0.2222454662^{2}$

$\simeq 0.0494$ -----------------------------------------(5)

1 collision in 6 months period means

$\frac{1}{6}$ collision per month

Now, P(1 collision in 6 months period)

= P( X = 1/6] (which is to be estimated)

= $\frac {P(X=0)\times 5 + P(X =1)\times 1}{6}$

= \frac {0.7408182207 \times 5 + 0.2222454662 \times 1}{6}[/tex]

$\simeq 0.6543894283$ -------------------------------------------(6)

So,

P(1 collision in 6 month period)

= $0.6543894283^{6}$

$\simeq 0.0785267444$ ------------------------------------------------(7)

So,

P(No collision in 6 months period)

= $(P(X =0)^{6}$

$\simeq 0.1652988882$ ---------------------------------(8)

so,

P(1 or fewer collision in 6 months period)

= (8) + (7 ) = 0.0785267444 +0.1652988882

$\simeq 0.2438$ ---------------------------------------------(9)

7 0

3 years ago

Factorise completely:<br> 1. 3xy - x<br>2. 4a² - 9

Amanda [17]

Answer:

x(3y - 1) and (2a - 3)(2a + 3)

Step-by-step explanation:

(1)

3xy - x ← factor out x from each term

= x(3y - 1)

(2)

4a² - 9 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

4a² - 9

= (2a)² - 3²

= (2a - 3)(2a + 3)

6 0

2 years ago

God please help me plz

Nat2105 [25]

You convert 432 sq inches into inches so 20.7846. Then you times that by 6. The answer is 124.7076 and if rounded 124.7

8 0

3 years ago

Pls answer this i want to know ok ok ok ok ok

bogdanovich [222]

Step-by-step explanation:

$given \\ (x + \frac{1}{x} ) = 7 \\ now \\ (x + \frac{1}{x} ) ^{2} \\ (7) ^{2} (given) \\ 49 \\ again \\ {x}^{2} + ( \frac{1}{x} ) ^{2} \\ (x + \frac{1}{x}) ^{2} - 2 \times x \times \frac{1}{x} \\ (7) ^{2} - 2 \\ 49 - 2 \\ 47$

6 0

3 years ago

What dose No mean in math

Wewaii [24]

Answer:

Nobelium

Step-by-step explanation:

That looks like a chemistry element unless No is meaning the abbreviation No. - Meaning, number.

7 0

3 years ago