prove cos 2 theta - cos 4 theta + cos 6 theta - cos 12 theta = 4 sin 3 theta sin 5 theta cos 4 theta​

Answer:

Step-by-step explanation:

The satay in of a line is written as y = slope(x) + y intercept.

In the given equation the y-intercept is -1

Step-by-step explanation:

2667

1884

1953

782

2046

3105

8559

5368

963

3367

Answer:

381 x 7 = 2667

471 x 4 = 1884

651 x 3 = 1971

391 x 3 = 1173

341 x 6 = 2046

Hope its help full

SSS

Two pairs of sides have already been marked congurent.  The third side is shared by the two triangles, so it must be congruent with itself.

You have three congruent sides: SSS

Answer:

The first statement is correct. only the team pitching has to make the 3 outs and once they do they switch positions

Step-by-step explanation:

the team pitching cannot score and once the batting team gets 3 outs then they switch positions, all the way until the end of the 9th inning

Answer:5 Penny's everyday for thirdy days

Step-by-step explanation:

Answer:

6.5%

Step-by-step explanation:

15.95+10.95+17.10 = 44

46.86-44 = 2.86

2.86/44 = 0.065

0.065 = 6.5%

Answer:

It was on for 12.4 minutes

Step-by-step explanation:

Answer:

12.4

Step-by-step explanation:

rate of water = 1.5x

x = amount of time

18.6 = 1.5x

x = 12.4

Answer:

Step-by-step explanation:

4x2 - 8x -12 = 0

divide through by 4

x2 - 2x - 3 = 0

x2 - 3x + x - 3 = 0

(x2 - 3x) + (x - 3) = 0

x(x - 3) + 1(x - 3) = 0

(x + 1) (x - 3) = 0

x + 1 = 0 and x - 3 = 0

x = -1 and x = 3

Answer:

B IS THE ANSWER

Step-by-step explanat

(22x2 -  8x) -  12  = 0

  4x2 - 8x - 12  =   4 • (x2 - 2x - 3)

The first term is,  x2  its coefficient is  1 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   -2 .

     -3    +    1    =    -2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  1  

                    x2 - 3x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-3)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-3)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (x-3)

            Which is the desired factorization

4 • (x + 1) • (x - 3)  = 0

A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately  

Any solution of term = 0 solves product = 0 as well.

  Solve  :    x+1 = 0

Subtract  1  from both sides of the equation :  

                     x = -1

   Solve  :    x-3 = 0  

Add  3  to both sides of the equation :  

                     x = 3

Answer:

19 19/20 in fraction

19.95 as a decimal

Step-by-step explanation:

Answer:

19 and 19/20

Step-by-step explanation:

The bar in a fraction stands for dividing

so you divide 399 by 20 which is 19 and 19 remainder

you turn the remainder into a fraction and the number into a whole number

Answer:

The answer is 10 12/85    Hope you pass!

Answer:

-1/4

Step-by-step explanation:

y2 - y1 / x2 - x1

-9 - (-6) / 3 - (-9)

-3/12

= -1/4

Answer:

The domain should be X

Step-by-step explanation:

I'm a bit unsure but I think it's correct

Using the t-distribution, the 95% confidence interval for the mean sugar content for single servings of Alpha-Bits is (10.15, 12.45).

In this problem, we have that:

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

First, we find the number of degrees of freedom, which is one less than the sample size, thus df = 19.

Now, we have to find the critical value for a 95% confidence interval with 19 df, thus, looking at the t-table or using a calculator, t = 2.093.

Then:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 11.3 - 2.093\frac{2.45}{\sqrt{20}} = 10.15[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 11.3 + 2.093\frac{2.45}{\sqrt{20}} = 12.45[/tex]

The interval is (10.15, 12.45).

A similar problem is given at https://brainly.com/question/24232455

Answer:

Associative property of addition

Step-by-step explanation:

Step-by-step explanation:

Evaluate:

-[-1⅘ ÷ 0.3(1.2)] - 5/6

⇛-[- 20/5 ÷ 0.3(1.2)]-5/6

⇛- [-20/5 ÷ 0.36] - 5/6

⇛-[-20/5 ÷ 36/100] - 5/6

Here I have changed in expression decimal point into fraction by putting 100 in Denominator.

⇛-[-20/5 × 100/36] - 5/6

⇛-[(-20 × 100)/(5×36)] - 5/6

⇛-[-2000/180]-5/6

Remember (-) × (-) = +.

⇛2000/180 - 5/6

Now, LCM of the denominator 6 and 180 is 180.

⇛(2000 - 150)/180

⇛1850/180

Now, reduce the fraction by extracting and cancaling out by 2.

⇛825/80

Again reduce the fraction by extracting and cancaling out by 5.

⇛165/16 Ans.

Hope this helps!!

Answer:

the associative property

Answer:

It is the associative property of multiplication

Step-by-step explanation:

It is generally expressed as

(ab)c=a(bc)

3*(5*7)=(3*5)*7

105=105

Answer:

the first one

Step-by-step explanation:

1/2 and 1/5 common denominator is 10

a) After 270° counterclockwise rotation about the point (1,-2) the coordinates are B'(-1, -1), C'(-2, -5), D'(-4, -6) and E'(-3, -2).

b) After translation along the vector (0,8) are B''(2, 5), C''(6, 4), D''(7, 2) and  E''(3, 3).

Given that, parallelogram BCDE with vertices B(2, -3), C(6, -4), D(7, -6), and E(3, -5).

When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative.

a) 270° counterclockwise rotation about the point (1,-2)

So, the new coordinates are

B(2, -3)→(1, -1)

C(6, -4)→(5, -2)

D(7, -6)→(6, -4)

E(3, -5)→(2, -3)

After 270° counterclockwise rotation, we get coordinates as

B(1, -1)→B'(-1, -1)

C(5, -2)→C'(-2, -5)

D(6, -4)→D'(-4, -6)

E(2, -3)→E'(-3, -2)

b) Translation along the vector (0,8)

B(2, -3)→B''(2, 5)

C(6, -4)→C''(6, 4)

D(7, -6)→D''(7, 2)

E(3, -5)→E''(3, 3)

Therefore,

a) After 270° counterclockwise rotation about the point (1,-2) the coordinates are B'(-1, -1), C'(-2, -5), D'(-4, -6) and E'(-3, -2).

b) After translation along the vector (0,8) are B''(2, 5), C''(6, 4), D''(7, 2) and  E''(3, 3).

To learn more about the rotation of 270° counterclockwise visit:

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Answer:

Vendor I sells more by 0.05

Step-by-step explanation:

First, you do Vendor I, divide 38.70/5, which gives you $7.74.

Then, you go to Vendor 2, divide 30.76/4 and that makes the answer $7.69.

7.74 - 7.69 = 0.05

Vendor 1 has more then Vendor 2 by 5 cents.

Answer:

I think the answer is 98?

Step-by-step explanation:

I added 225+45+25 and got 295. Next, I divided 295 by 3 and got 98. (sorry if I'm wrong.)

Three postal workers can sort a stack of mail in 25 ​minutes, 45 ​minutes, and 225 ​minutes, respectively. Time taken if all the three work together is 15min

What is Time?

Time can be described in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present and into the future. The duration of events or the gaps between them can be measured, compared, or even ordered using time.

The first worker can sort the stack in 25 minutes. So every minute that goes by,

he does 1/25 of the job.

The second employee completes 1/45 of the stack per minute,

While the third employee completes 1/225 of the task.

Minutes are represented by x, and I've set them all to 1 to indicate that a single stack was sorted.

x·1/25 + x·1/45 + x·1/225 = 1

To eliminate all fractions from the calculation, multiply each term by 225.

225x/25 + 225x/45 + 225x/225 = 225

9x + 5x + 1x = 225

15x = 225

x = 225 / 15

x = 15

Hence, It will take 15min to sort the mail if all three work together

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Answer:

I think its y=8

Step-by-step explanation:

7y-20=3y+12

7y-3y=12+20

4y=32

y=32/4

y=8