For the frieze pattern to the right , describe all transformations that map the pattern onto itself.

Select all that apply
A. Reflection across one or more horizontal lines
B. Reflection across one or more vertical lines
C. Glide reflection
D. Rotation
E. Translation

Recall that

cos²(x) + sin²(x) = 1

for all x, so that

sin(x) = ± √(1 - cos²(x))

Given that cos(θ) = 4/9 > 0, and

tan(θ) = sin(θ) / cos(θ) < 0

it follows that sin(θ) < 0, so

sin(θ) = - √(1 - cos²(θ)) = - √(1 - (4/9)²) = - √(65)/9

The value of sinθ is √(65)/9.

The sine function in trigonometry is the ratio of the hypotenuse's length to the opposite side's length in a right-angled triangle. To determine a right triangle's unknown angle or sides, utilize the sine function.

Since cos(theta) = 4/9 and tan(theta) < 0, we know that theta is in the second quadrant of the unit circle, where cosine is positive and sine is positive.

We can use the Pythagorean identity to find sin(theta):

sin²(theta) + cos²(theta) = 1

Substituting in the given value of cos(theta), we get:

sin²(theta) + (4/9)² = 1

sin²(theta) + 16/81 = 1

sin²(theta) = 1 - 16/81

sin²(theta) = 65/81

Taking the square root of both sides, we get:

sin(theta) = ± sqrt(65)/9

Since theta is in the second quadrant where sine is positive, we can take the positive root:

sin(theta) = sqrt(65)/9

Therefore, sin(theta) = sqrt(65)/9.

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Answer:

the best interest rate would be a minimum of 3.5% annual interest

Step-by-step explanation:

An inflation rate of 3.5% would mean that the buying power of Lydia's money would decrease by 3.5% every single year. Therefore, the best interest rate would be a minimum of 3.5% annual interest. That way she would at least maintain the same buying power with her money as the day that she first placed it in the account. Any interest rate higher than 3.5% would be even better as Lydia will begin to make a profit from her savings.

Answer:

x = -4

Step-by-step explanation:

A circle is 360 degrees.

Anyway, first add 85 + 35 + 115 and you will get 235.

Now subtract 235 from 360.

360 - 235 = 125 degrees

Now to find x, do

-32x - 3 = 125

-32x = 128

-32x/-32 = 128/-32

x = -4

Hope it helped! My answer is expert verified.

Answer:

Cluster random sampling

Step-by-step explanation:

Answer: 1.75 = y

Explanation: In the picture linked

Hope this helps

A) the initial population is 30, which is given in the equation.

B) replace t with the number of years and solve:

5 years = 60

10 years = 120

15 years = 241

C) the population is doubling every 5 years

5x + 4 - 12 + 4x - 9 + 2y=360

Answer: B

Step-by-step explanation:

1/9(3)^x

(3)^(5) = 243

243(1/9) = 27

Hope this helps :)

Answer:

2/3 or 2 to 3

Step-by-step explanation:

Good luck!

Answer:

Step-by-step explanation:

Answer:

..

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

The range of the data is 14.

A boxplot is defined as a common method for visualizing data distribution based on a five-number summary. (minimum, first quartile (Q1), median, third quartile (Q3), and maximum).

Given that,

The box-and-whisker plot shows the number of books read by history students during the last school year.

The box extends from 4 to 15 on the number line.

There is a vertical line at 8, median = 8.

The whiskers end at 4 and 15,

So, minimum of data = 4 and maximum of data = 15.

∵ Range = maximum of data - minimum of data

Range = 15 - 4

Range = 11

Hence, the range of the data is 14.

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Answer:

The correct anwser is 2x+5<4

Step-by-step explanation:

Answer:

$9.90

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

2x - 9 = x

2x - x = 9

x = 9

Answer:

The correct answer is 9.

Step-by-step explanation:

2x – 9= x <----- Here is the original problem.

2(9) – 9 = 9 <----- Replace the variables.

18 - 9 = 9 <----- Simplify the multiplication.

9 = 9 <----- This is a true statement.

Therefore, the correct answer is 9.

Hope this helps! :D

Answer:

Mickey mouse was created by Walt Disney.

Step-by-step explanation:

Active voice = Walt Disney creates Mickey Mouse.  (subject, verb, object)

passive voice = Mickey mouse was created by Walt Disney. (object, verb, subject).

Answer:

Option 2

Step-by-step explanation:

Number of breakdowns of the photocopiers in year 2011,

A1 = 15

A2 = 21

B1 = 34

B2 = 32

B3 = 23

Option (1)

A1 had just under a half the number of breakdowns compared to photocopier B3.

Half of B3 = 12

And A1 = 15

Therefore, A1 > B3

So the statement is False.

Option (2)

A1 had just under 50% of the breakdowns compared to photocopier B2

50% of the breakdowns of B2 = 16

A1 = 15

So, A1 < 50% of B2

Statement (2) is True.

Option (3)

A1 had more than 25 extra breakdowns compared to B1.

A1= 15

B1 = 34

A1 < B1

Therefore, statement is False.

Option (4)

A1 had 6% less breakdowns than photocopier A2.

A1 = 15

A2 = 21

A2 - A1 = 21 - 15 = 6

Percentage less breakdowns = [tex]\frac{6}{21}\times 100[/tex] = 28.6%

So this Option is False.

Therefore, Option (2) is the correct option.

Answer:

The answer is [tex]125.64[/tex]

Step-by-step explanation:

hope this helps :)

Answer:  416.7

250/12 = 20.8

20.8 x 20 = 416.7

Answer:

n=5 and it's output is -13

Step-by-step explanation:

By inspection, the inputs increase by +1 and the outputs decrease by 2

Thus ,n=4+1=5 and it's output is -11-2=-13

Answer:

The first is 18.

The second is less than (<).

Step-by-step explanation:

Hope this helps <3

Answer:

1. 18

2. C

Step-by-step explanation:

1. 7/42=1/6 3•6=18

2. 3/7 is greater than 3/8

Answer:

a.

Step-by-step explanation:

The area for this is 

A= 7x9/2+3x9+9x6

    =   31.5+27+54

     =      112.5

Answer:

we need to see the product to be able to help you!

Answer:

19

Step-by-step explanation:

Answer:

1 : 4

Step-by-step explanation:

7 black : 28 blue = 7/28 ---> reduces to 1/4 ---> 1 : 4

The ratio between the black and blue pens  [tex]\dfrac{1}{4}[/tex] or 0.25 or 1:4.

Given to us,

Number of black pens box contains = 7,

Number of blue pens box contains = 28,

[tex]\bold{Ratio\ between\ the\ black\ and\ blue\ pens = \dfrac{Number\ of\ black\ pens\ box\ contains}{Number\ of\ blue\ pens\ box\ contain} }[/tex]

Putting in the values we get,

The ratio between the black and blue pens  [tex]=\dfrac{7}{28} = \dfrac{1}{4} =0.25[/tex],

Hence, the ratio between the black and blue pens  [tex]\dfrac{1}{4}[/tex] or 0.25 or 1:4.

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Answer:

Step-by-step explanation:

hmmmm

Answer:

It's D (the last one)!!

Answer:

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Answer:

The sum:0.0049 =0.004. so the answer is 0.004

Answer:

Graph B (bottom left)

Step-by-step explanation:

Let's eliminate answers by reading the prompt:

Jaelene drains some of the water from a pool at a constant rate.

These are two big clues. Since Jaelene drains water, she is losing water, and at a constant rate. Therefore, we can eliminate A and C because you would be gaining water in the pool and not draining.

She stops draining water to fix the hose and then fills the pool up with water again.

Also important clues. If you stop draining water, the water level does not change. Also, since the pool is filling up, that means we are gaining water. Therefore, we can eliminate option D because that would mean we're still draining water but we're not in this case.

Therefore, the only correct answer is graph B (bottom left)

Answer: 8,16

Step-by-step explanation: