5 3/9 - 2 8/9 simplified

Recall the double angle identities:

cos(2θ) = 1 - 2 sin²(θ)

sin(2θ) = 2 sin(θ) cos(θ)

With some rewriting, we can get

cos(4θ) - cos(2θ) = 2 cos²(2θ) - 1 - cos(2θ) = (2 cos(2θ) + 1) (cos(2θ) - 1)

and

sin(4θ) + sin(2θ) = 2 sin(2θ) cos(2θ) + sin(2θ) = sin(2θ) (2 cos(2θ) + 1)

The numerator and denominator both share a factor of 2 cos(2θ) + 1; canceling them leaves us with

(cos(2θ) - 1) / sin(2θ)

Replace cos(2θ) = 1 - 2 sin²(θ) and sin(2θ) = 2 sin(θ) cos(θ) :

((1 - 2 sin²(θ)) - 1) / (2 sin(θ) cos(θ))

-2 sin²(θ) / (2 sin(θ) cos(θ))

- sin(θ) / cos(θ)

- tan(θ)

so the answer is C.

Answer:

(cos4θ-cos2θ)/(sin4θ+sin2θ)

C. -tanθ is your answer.

x     3           ?      128

?    2016     63     32

1     28         7       4

?     72        9        8

That's all I can think of

Answer:

common factors of 20 are 20,10,5,4,2,1

common factors of 100 are 100,50,25,20,10,5,2,1.The common factors of 20 and 100 are20,10,5,4,2,1, interesting the two sets above.

Answer:

The answer is 1.65

Step-by-step explanation:

−2.25−(−3.9)

=−2.25−(−3.9)

=−2.25+3.9

=1.65

Answer:

There you go

Step-by-step explanation:

The graph of y=2x+1 is given in the attachment and the graph has a slope of 2.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given equation is y=2x+1

y equal to two times of x plus one.

The given equation in the form of slope intercept form y=mx+b in which the value of m or slope is 2.

Now we have to find some values of x and y to plot the graph

When x=0

the value of y is 2(0)+1=1

When x=1

y=2(1)+1

y=3

When x=2

y=2(2)+1

y=5

When x=3

y=2(3)+1

y=7

After plotting all these points we draw the graph which is given in the attachement.

Hence, the graph of y=2x+1 is given in the attachment and the graph has a slope of 2.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

Answer:

make a proportion:

                        90% - 76.50$

original price is 100% - x$

x=76.50$*100%/90%=85$

Answer: original price is 85$

Step-by-step explanation:

We are given:

The time-traveller has 79 books, but he can only take 5 books

since we need to find the number of ways he can choose 5 books, we know that the order in which he takes the books does NOT matter

Hence, we will use combination

Finding the number of ways:

Since we will use combination, ₇₉C₅

We know that the formula for combination is  (n!) / (r!(n-r)!)

₇₉C₅  = 79! / 5!(74!)

₇₉C₅ = 22,537,515

Therefore, the time traveller can choose 5 books in 22,537,515 different ways

Answer:

Step-by-step explanation:

5 is 71

and 9 is 109

5 and 1 are the same

Answer:

im not exactly sure if im right but i think it is the 1st option

Step-by-step explanation:

Answer:

Distance traveled after 20 rotations = 1306.24 inches

Step-by-step explanation:

r = 10.4 inches

Distance traveled in one rotation = Circumference of the car tire

Circumference of the car tire = 2πr

                                                 = 2 * 3.14 * 10.4

                                                = 65.312 inches

Distance traveled after 20 rotations = 65.312 * 20

                                                            = 1306.24 inches

Answer:

g = 7/2

Step-by-step explanation:

-5 + 7g = 3g + 9

~Add 5 to both sides

7g = 3g + 14

~Subtract 3 to both sides

4g = 14

~Divide 4 to both sides

g = 14/4 or g = 7/2

Best of Luck!

Answer:

The answer is C

Brainliest if correct please

Step-by-step explanation:

Answer:

The value of sec A = - √29/5

Step-by-step explanation:

As the terminal side of angle 'A' passes through (-5,2).

so the angle is in the 2nd quadrant.

We can find the length of the hypotenuse using the Pythagorean Theorem

[tex]c^2\:\:=\:\left(-5\right)^2\:+\:2^2[/tex]

[tex]c^2=5^2+2^2[/tex]

[tex]c^2=25+4[/tex]

[tex]c^2=29[/tex]

[tex]c=\sqrt{29}[/tex]

As we know that

cos A = adjacent/hypotenuse

sec A = 1/cosA

         = hypotenuse/adjacent

         = √29/-5

         = - √29/5

Therefore, the value of sec A = - √29/5

Answer:

(224)10 = (E0)16

I dont know why it wouldnt be right this is the answer...Im acually confused now

Step-by-step explanation:

(224)10 = (E0)16

Step by step solution

Step 1: Divide (224)10 successively by 16 until the quotient is 0:

224/16 = 14, remainder is 0

14/16 = 0, remainder is 14

Step 2: Read from the bottom (MSB) to top (LSB) as E0. This is the hexadecimal equivalent of decimal number 224

Answer:

The sequence is:

[tex]\:\left\{a_{1,\:}a_2,\:a_3,\:a_4\right\}\:=\:\left\{-10,\:-23,\:-62,\:-179\right\}[/tex]

Step-by-step explanation:

Given the recursive function

[tex]a_n=3a_{n-1}+7[/tex]

As the first term is -10.

i.e.

[tex]a_1=-10[/tex]

Putting n = 2 to determine the 2nd term

[tex]a_n=3a_{n-1}+7[/tex]

[tex]a_2=3a_{2-1}+7[/tex]

[tex]a_2=3a_1+7[/tex]

    [tex]= 3(-10)+7[/tex]    ∵ [tex]a_1=-10[/tex]

     [tex]= -23[/tex]

Putting n = 3 to determine the 3rd term

[tex]a_n=3a_{n-1}+7[/tex]

[tex]a_3=3a_{3-1}+7\:\:[/tex]

[tex]a_3=3a_2+7\:\:\:\:\:[/tex]      

    [tex]= 3(-23)+7[/tex]       ∵ [tex]a_2=-23[/tex]

    [tex]= -62[/tex]

Putting n = 4 to determine the 4th term

[tex]a_n=3a_{n-1}+7[/tex]

[tex]a_4=3a_{4-1}+7[/tex]

[tex]a_4=3a_3+7\:\:\:\:\:[/tex]      

    [tex]= 3(-62)+7[/tex]       ∵ [tex]a_3=-62[/tex]

    [tex]=-179[/tex]

Therefore, the sequence is:

[tex]\:\left\{a_{1,\:}a_2,\:a_3,\:a_4\right\}\:=\:\left\{-10,\:-23,\:-62,\:-179\right\}[/tex]

Answer:

The new carpet for the master room will cost $379.30

Step-by-step explanation:

The bedroom is a rectangle of dimensions:

[tex]4\sqrt {3}+6\sqrt {3}=10\sqrt {3}~ft[/tex]

[tex]6\sqrt {6}~ft[/tex]

Thus, the area of the master bedroom is:

[tex]A=10\sqrt {3}~ft*6\sqrt {6}~ft[/tex]

Multiply the coefficients and the arguments:

[tex]A=60\sqrt {18}~ft^2[/tex]

Calculating:

[tex]A=254.56~ft^2[/tex]

The carpet unit cost is $1.49 per square foot, thus the total cost of the new carpet is:

$1.49*254.56=$379.30

The new carpet for the master room will cost $379.30

Answer:

35

Step-by-step explanation:

x2 + 2y ÷ 2W + 3z

plug in the numbers

5(2) + 2(8) ÷ 2(2) + 3(3)

solve and use order of operations

=35

Answer:

1

Step-by-step explanation:

First round up (or down) the prices for the tea and juice.

3.51 --> $4

2.28 --> $2.3 or $2

4-2.3=1.7

4-3= 1

$1-$1.7

Answer:

The correct answer is: A

Step-by-step explanation:

Points on a Numeric Line

The numeric line shown in the figure has four points A, B, C, and D. It's clear that each marked division of the line has a value of 1/4 units and all four points are below the reference zero, thus all are negative.

Point A is clearly on the -2 mark, thus

A=-2

Point B is one mark above A, thus it's located at:

[tex]B=-2+\frac{1}{4}=-\frac{7}{4}=-1\frac{3}{4}[/tex]

[tex]B=-1\frac{3}{4}[/tex]

Point C is one mark below -1, thus:

[tex]C=-1-\frac{1}{4}=-1\frac{1}{4}[/tex]

Finally, point D is one mark below 0:

[tex]D=-\frac{1}{4}[/tex]

The correct answer is: A

Answer:

Step-by-step explanation:

If it goes 220 meters and has made 100 revolutions that means that each revolution is 220 meters / 100 = 2.2 meters.

That's the same thing as saying that the wheel has a circumference of 2.2 meters.

Circumference = 2*pi * r = pi * d

2 = pi * d

2 = 3.14 * d

2/3.14 = d

d = 0.6369 meters

Answer:

its B.

Step-by-step explanation:

Answer:

Option (B) -1.5 + (2.75) = -4.25

Step-by-step explanation:

Hope this helped if so leave a rating! :)

THANKS

Answer:

1 = 41

2 = 49

3 = 82

4 = 52

Step-by-step explanation:

Step-by-step explanation:

m<1 = 41

m<2 = 38

m<3= 79

m<4 = 52

Answer:

A and E

Step-by-step explanation:

2x + 1 > 5

So, subtract the 1 from both sides,

2x > 4

x > 2

So anything greater than 2...

7 and 3 are greater than 2.

A and E.

Answer:

Any number really are there any pacific numbers

Step-by-step explanation:

Answer:

the answer and explanation is there in the picture above as I found it hard to answer through text.

don't mind my messy handwriting...

I was writing fast.

Step-by-step explanation:

i hope this helps...

please give me brainliest if you find my answer helpful...

thank you and have a great day ahead :)

Answer: 3500 pounds

Step-by-step explanation:

Captain Hook: the "2" in the ratio. He got 1000 pounds of treasure so we write a ratio:

2:1000 = 1:500

John Silver: the "7" in the ratio. The ratio then becomes:

1(7):500(7) = 7:3500. His treasure weighs 3500 pounds

Lmk if you have any more questions :DD

Answer:

3500

Step-by-step explanation:

Answer:

Choice A is correct.  

Step-by-step explanation:

A function, by definition, only maps one output to one input.  You can't have multiple outputs to one input.  All the other choices do that, Choice A doesn't.

Answer:

A

Step-by-step explanation:

A function is where there are none of the x-intercepts are repeated. Answer A each has 4 x-intercepts, but none of them are repeated. All the other answers (B, C, and D) have an x-intercept that is repeated.

Hope this helps <3

Step-by-step explanation:

I trust that the answer is 3 because if he went 12km and bitting fish 4m which 4x3 is 12 so 3 is the answer !

Answer:

200

Step-by-step explanation: