Answers
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
Evaluate the expression for the given values of the variables. x2 + 4(x − y) ÷ z2, for x = 8, y = 5, and z = 2
Answers
The answer is -624
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
Refer to the figure to answer the question.
Name the line of intersection of planes GABH and FEHG
HG
GA
FE
FD
Answers
Answer:
It's HG
Step-by-step explanation:
The line of intersection is where they cross, and this line is the line HG
what is 13 x 12 feet converted is how many inches?
Answers
156 x 144 inches I got it right
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
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.
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 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
give the distance between two points with the given coordinates.
-10.3 and -12.1
Answers
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.
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]
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:
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.
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:
3
Step-by-step explanation:
because 3*3ʕっ•ᴥ•ʔっ(づ｡◕‿‿◕｡)づ(づ｡◕‿‿◕｡)づ
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.
Read more about radicals at:
https://brainly.com/question/1369233
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!
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
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
Please Help Me I really need Accurate answer Can anyone help me?
Answers
Answer:
mathematics make our brain fast and sharp
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 answersStep-by-step explanation:
Set a system of equations.
c- correct, i- incorrect.
c + i = 504c - i = 160Add the equations together:
5c = 210c = 42Then find the value of i:
i = 50 - 42i = 8Find 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:
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
Explanation :
80x = 56
x = 56/80
x = 0.7 = 70%
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.
SfGnjjjksksjnshshdhsjsjskakajaja
Answers
Answer:
7.4641
Step-by-step explanation:
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.
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.
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
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
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
75 is what percent of 96?
Answers
x = 75/100 * 96 [Since % = 1/100]
x = 7200/100
x = 72
Thus, 75% of 96 is 72.