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Answer 1

Answer:

Step-by-step explanation:

Remember:

[tex]cos(2A)=cos(A+A)=cos^2(A)-sin^2(A)=2cos^2(A)-1\\\\cos^2(A)=\dfrac{cos(2A)+1}{2} \\\\cos(A)=\pm\sqrt{\dfrac{cos(2A)+1}{2}} \\\\[/tex]

[tex]cos (\dfrac{A}{2} )=\pm\sqrt{\dfrac{1+cos(A)}{2} } \ with \left\{\begin{array}{c} \ +:\ if \frac{A}{2} \ is\ in\ I\ or\ IV\ quadran\\\ -:\ if \frac{A}{2} \ is\ in\ II\ or\ III\ quadran\\\end{array}\right.[/tex]

[tex]cos(\pi)=-1\\\\cos(\dfrac{\pi}{2} )=+\sqrt{\dfrac{1+(-1)}{2}} =0\\\\cos(\dfrac{\pi}{4} )=+\sqrt{\dfrac{1+0)}{2}} =\dfrac{\sqrt{2} }{2} \\[/tex]

[tex]cos(\dfrac{\pi}{8} )=\sqrt{\dfrac{1+\dfrac{\sqrt{2}}{2})}{2}} =\sqrt{\dfrac{1}{2} +\dfrac{\sqrt{2} }{4} }=\dfrac{1}{2} \sqrt{2+\sqrt{2} } \\\\\\cos(\dfrac{\pi}{16} )=\sqrt{\dfrac{1+\dfrac{1}{2}*\sqrt{2+\sqrt{2} } }{2}}\\\\\\=\sqrt{\frac{1}{2} +\frac{1}{4}*\sqrt{2+\sqrt{2} } } \\\\\\=\dfrac{1}{2}*\sqrt{2+\sqrt{2+\sqrt{2} } } \\\\[/tex]

Related Questions

Find the final amount of money in an account if $1,700 is deposited at 5.5 % interest compounded
quarterly (every 3 months) and the money is left for 8 years.
The final amount is $
Round answer to 2 decimal places

Answers

Answer:

74800 is the amount of $1700 at the rate of 5.5 for 8 yrs

0.6(0.6r +0.5) + 7r
PLS HELP

Answers

Answer:

Answer 7.36r + 0.3

Step-by-step explanation:

0.6 (0.6r + 0.5) + 7r

0.6*0.6r = 0.36r

0.6 * 0.5 = 0.3

0.36r + 0.3 + 7r

7.36r + 0.3

The kinetic energy, K, of an object due to its motion is given by K = mv2, where m is the mass of the object and v is its velocity. What is the mass of the object, m, in terms of its kinetic energy and velocity?

Answers

Answer:

Step-by-step explanation:

First of all, your formula isn't right. In general, the KE = 1/2 m * v^2

KE = 1/2 m * v^2 Multiply both sides by 2

2*Ke = m * v^2 Now divide by v^2

2*Ke/v^2 = m

give the distance between two points with the given coordinates.
-10.3 and -12.1

Answers

I believe the answer is 2.8

What is the volume of the pryinid in the diagram

Answers

Answer:

25 cm3

Step-by-step explanation:

Step 1: Determine the base area and the height of the pyramid. Step 2: Find the volume using the general formula, V = (1/3) Base Area × Height, or V = a3/6√2 cubic units when the edge length 'a' of the triangular face is known. Step 3: Represent the final answer with cubic units.

Why is cube root of 9 equal to 9 to the one third power question mark (1 point)

9 to the one third power all cubed equals 9 to the one third times 3 power equals 9 to the first power equals 9

9 to the one third power all cubed equals 9 to the one third plus 3 power equals 9 to the first power equals 9

9 to the one third power all cubed equals 9 to the one third divided by 3 power equals 9 to the first power equals 9

9 to the one third power all cubed equals 9 to the one third minus 3 power equals 9 to the first power equals 9

Answers

Answer:

Step-by-step explanation:

because 3*3ʕっ•ᴥ•ʔっ(づ｡◕‿‿◕｡)づ(づ｡◕‿‿◕｡)づ

Evaluate the expression for the given values of the variables. x2 + 4(x − y) ÷ z2, for x = 8, y = 5, and z = 2

Answers

(8)(2)+4(8)(-5)(2)(2)

The answer is -624

Evaluate -1/5 ab if a =3/7 and b =5/8 . Write in simplest form.

Answers

Step-by-step explanation:

x = 1/4

4x = 4 * 1/4 = 4/4 = 1.

SfGnjjjksksjnshshdhsjsjskakajaja

Answers

Answer:

7.4641

Step-by-step explanation:

7.4641 or 4+2(square root of three)

Where would radicals come in the order of operations? Explain why.

Answers

Answer:

exponents, multiplication division addition and subtraction and radicals. They're gonna come right here with exponents on.

Step-by-step explanation:

The reason for this is because radicals, for example, X to the power or this very day vaccine is the same as X to the power of one. The humor to perhaps is the same as actually the power of 1/3. So really any radical can be expressed is an exploded as well. So this is why radicals are grouped with exponents right here. So after Grant sees in priority, but before multiplication and division

Radicals are expressions with roots (e.g. square roots, cube roots, etc.)

Radicals should be evaluated after all grouping symbols, but before any other arithmetic operators.

The grouping symbols are: brackets and parentheses

The other arithmetic operators are: addition, subtraction, division and multiplication.

Take for instance:

[tex]\mathbf{2\sqrt{4} + (5 \times 3) - 2}[/tex]

First, we evaluate the expressions in brackets

[tex]\mathbf{2\sqrt{4} + (5 \times 3) - 2 = 2\sqrt{4} + 15 - 2}[/tex]

Next, we evaluate the radical

[tex]\mathbf{2\sqrt{4} + (5 \times 3) - 2 = 2 \times 2 + 15 - 2}[/tex]

Then, we solve the remaining expressions.

Answers

Answer:

It's HG

Step-by-step explanation:

The line of intersection is where they cross, and this line is the line HG

Help me pleaseeeeeeeee
||x-2|-6|=8

Answers

Answer:

x = -12 or x = 16

Step-by-step explanation:

| x - 2 | - 6 =8

+6 +6

------------------------

| x - 2 | = 14

---> we get x = -14

---> we get x = 14

so, x = -12, or, x = 16

Select the best answer for the question.
9. The sum of 1/6, 2/3, and 1/4 is
O A. 2/72, or 1/36
O B. 11/12
O C. 13/12, or 1"/12.
O D. 4/12, or 1/3
Mark for review (Will be highlighted on the rev

Answers

Answer:

That would be, C

Step-by-step explanation:

1/6 + 2/3= 5/6

5/6 + 1/4= 13/12 or 1"/12

Pablo has 7 dogs. • Pablo feeds his dogs a total of 20 pounds of dog food each week. • Pablo feeds each dog an equal amount of dog food each time he feeds them. Which statement is true? Each dog is fed between 5 and 7 pounds of dog food each week. Each dog is fed between 5 and 7 pounds of dog food each week. Each dog is fed between 4 and 5 pounds of dog food each week. Each dog is fed between 4 and 5 pounds of dog food each week. Each dog is fed between 1 and 3 pounds of dog food each week. Each dog is fed between 1 and 3 pounds of dog food each week. Each dog is fed between 0 and 1 pound of dog food each week. Each dog is fed between 0 and 1 pound of dog food each week.

Answers

Answer: I believe its the one that says "each dog is fed between 1 and 3 pounds of dog food each week"

Step-by-step explanation:

To give each dog an equal amount you'd have to divide 20 by 7.

20 / 7

when you do that is doesn't come out to a whole number

20 / 7 = 2.8571428571

anything higher than 2.8 pounds would go over his limit of 20 pounds

so true statement I think would be the one that says between 1 and 3.

How do you divide 250÷100

Answers

Answer:

250 ÷ 100 (so we'd reciprocate the right side and also change the sign to multiplication one) =250/1 x 1/100 (now we will cut 250 and 100 as much as they can be cut or reduced) =5/1 x 1/2 (now as they can no more be reduced we directly multiply them) =5/2 (now we will divide them both to get our anwer)

Step-by-step explanation:

if you served me crown please

Answer:

By using the GCF/HCF method 5/2 is the simplified fraction for 250/100.

Step-by-step explanation:

The step by step calculation of how to simplify the fraction 250/100 to its lowest term or simplest form. One of two methods used to convert the fraction to its lowest terms is the GCF or HCF method

Given Fraction: 250/100

Find GCF (Greatest Common Factor) for both numerator and denominator.

The GCF for 250 and 100 is 50

Divide the numerator and denominator by GCF 50 and rewrite the fraction

= (250/50) / (100/50)

= 5/2

what is 13 x 12 feet converted is how many inches?

Answers

13 x 12 feet =
156 x 144 inches I got it right

Create an example of a rational Value between-8 and -9

Answers

Answer:

-8.5 but i am not sure

The rational number between -8 and -9 can be -8.1, -8.2, -8.3, -8.4, -8.5, -8.6, -8.7, -8.8, -8.9,

Given,

-8 and -9

We need to find a rational value between -8 and -9.

What is a rational number?

A number that can be written in the form p/q and is terminating and recurring.

Example:

2, 1/3, 5/2

Find the rational number between -8 and -9.

In between -8 and -9 we can have the following number:

-8.1, -8.2, -8.3, -8.4, -8.5, -8.6, -8.7, -8.8, -8.9

We see that all these values are rational numbers.

Thus -8.1, -8.2, -8.3, -8.4, -8.5, -8.6, -8.7, -8.8, -8.9 can be an example of rational number between -8 and -9.

Learn more about rational numbers here:

https://brainly.com/question/14382304

#SPJ2

What is the answer for this question

Answers

Step-by-step explanation:

n/6=3/8

then we will cross

8n=6×3

8n=18

8n/8=18/8

n=2.25

if it is not correct sorry

what times we subtract the number 80 by 8

Answers

Answer:

Question unclear

Step-by-step explanation:Your probally asking what times 8 gives us 80. If you are than 10!

A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results

Color Frequency
Red 8
Blue 8
Green 3
Yellow 7
Purple 16

Based on these results, express the probability that the next spin will land on red or green or purple as a decimal to the nearest hundredth.

Answers

Step-by-step explanation:

The probability is the number of desired observations (red, green, blue) divided by total number of observed outcomes.

Jalessa earned a score of 160 on a recent 50 question spelling contest. The scoring for the contest was +4 for each correct answer, -1 for each incorect answer, and 0 for each unanswered question. If she answered every question, what is the maximum number of questions that Jaleesa could have answered correctly?

Answers

Answer:

42 correct answers

Step-by-step explanation:

Set a system of equations.

c- correct, i- incorrect.

c + i = 504c - i = 160

Add the equations together:

5c = 210c = 42

Then find the value of i:

i = 50 - 42i = 8

75 is what percent of 96?

Answers

75 is what percent of 96? = 78.13.

Let x be 75% of 96
x = 75/100 * 96 [Since % = 1/100]
x = 7200/100
x = 72
Thus, 75% of 96 is 72.

Subtract 45 from the sum of 243 and 6.

And a numerical expression for the calculation with parentheses

Answers

Explanation:

(243 + 6) - 45

It says add 243 and 6 so you add them together. Then it says subtract 45 from that. When it says from, you usually put the stuff your subtracting it from in parentheses.

Michaela has h hair ties. Michaela's sister has triple the number of hair ties that
Michaela has. Choose the expression that shows how many hair bows
Michaela's sister has.

A. h^3

B.3/h

C. 3h

D. H/3

Answers

9514 1404 393

Answer:

C. 3h

Step-by-step explanation:

In algebra, multiplication by a number is indicated by placing the number next to the variable, with or without a multiplication symbol.

3×h = 3·h = 3h

In plain text, the asterisk (*) is sometimes used as a multiplication symbol. Some folks will use a period (decimal point) as a multiplication symbol, but that tends to be confusing.

"Triple" means "three times", so the number of hair ties Michaela's sister has is ...

3 times h = 3h

_____

Additional comment

The caret (^), as in h^3, is used to signify repeated multiplication. The term h^3 means h×h×h. This is not the same as h+h+h = 3h.

The slash is used to signify division.

3/h means 3÷h.

h/3 means h÷3.

If Michaela's sister had h/3 hair ties, she would have one-third the number Michaela has. That is not the same as 3 times the number Michaela has.

Find the measure of the missing angles please help

Answers

Answer:

Angle x = 90 - 47 = 43 degrees

Angle g = 90 - 43 = 47 degrees

Step-by-step explanation:

Please Help Me I really need Accurate answer Can anyone help me?

Answers

Answer:

mathematics make our brain fast and sharp

Tính đạo hàm cấp n của hàm số f(x) = 3x − 1
4x + 3

Answers

Answer:

so fx 3x-1 '4x+3

Step-by-step explanation:

please mark me brainliest answer

Please solve the equations below:
1. (2x - 6) 3/2 = 21 - 4x

Answers

Step-by-step explanation:

[tex](2x - 6) \frac{3}{2} = 21 - 4x \\ \\ lcm = 2 \\ 2\times (2x - 6) \frac{3}{2} = (21 \times 2) -( 4x \times 2) \\ \\ 3(2x - 6) = 42 - 8x \\ 6x - 18 = 42 - 8x \\ 6x + 8x = 42 + 18 \\ 14x = 60 \\ x = \frac{30}{7} = 4.286(2.d.p)[/tex]

This year Amanda watched 80 movies. She thought that 56 of them were very good. Of the movies she watched, what percentage did she rate as very good?

Answers

Answer: 70%

Explanation :

80x = 56
x = 56/80
x = 0.7 = 70%

is Arithmetic a proper measure of central tendency of data?

Answers

Answer:

The arithmetic mean is the most common measure of central tendency.

Step-by-step explanation:

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