find the exact value without a calculator cos π\8= cos π/4/2

Find The Exact Value Without A Calculator Cos \8= Cos /4/2

Answers

Answer 1

Answer:

Step-by-step explanation:

1+cos 2a=2cos^2a

cos a=√[(1+cos 2a)/2]

[tex]put~a=\frac{\pi }{8} \\2a=\frac{\pi }{4} \\\\cos\frac{\pi }{8} =\sqrt{\frac{1+cos \frac{\pi }{4} }{2} } \\=\sqrt{\frac{1+\frac{\sqrt{2}}{2} }{2} }\\=\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]


Related Questions

Please help me I will give brainliest!

Answers

60,20,,30 is the answer

Please help!



Thank you!!!

Answers

[tex] \frac{1}{6} = 0.166...[/tex]

[tex] \frac{2}{6} = 0.33...[/tex]

[tex] \frac{3}{6} = 0.5[/tex]

[tex] \frac{4}{6} = 0.66...[/tex]

[tex] \frac{5}{6} = 0.66...[/tex]

[tex] \frac{6}{6} = 1[/tex]

using the segment addition postulate find the length of segment EF

Answers

Answer:

26

Step-by-step explanation:

DE+EF=DF

Subsitue thise x values for DE,  and DF

12+x=38

=26

Which fractions are equal to 0.68?

Answers

Answer:

I think something like 17/25 because that is 68 percent

Answer:

68/100, 34/50, 17/25 are fractions equal to 0.68

Find the are of the shaded region

Answers

Answer.: shaded region = 16 unit^2

Explanation:

Shaded region = 4 x 4 = 16 unit^2

find the coordinates of the points of intersection of the line 2x+3y+2=0 with the curve 2xy=-1

no spam plz fast

Answers

Make y the subject of the curve equation
y = -1/(2x)
Substitute for y in the line equation
2x +3(-1/2x) + 2 = 0
Multiply every term by 2x
4x^2 - 3 + 4x = 0
4x^2 + 4x - 3 = 0
(2x - 1)(2x + 3) = 0
If 2x - 1 = 0 then
2x = 1
x = 1/2
y = -1/(2 x 1/2) = -1

If 2x + 3 = 0 then
2x = -3
x = -1.5
y = -1/(2 x -1.5) = -1/3

The points of intersection are (1/2, -1) and (-1.5, -1/3)

Sorry about the mixture of fractions and decimals ;)

The point of intersection of the line 2x+3y+2=0 with the curve 2xy = -1 will be (1/2, - 1) and (1/6, 1/3).

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The equation of lines are,

⇒ 2x + 3y + 2 = 0

⇒ 2xy = - 1

Now,

Since, The equation of lines are,

⇒ 2x + 3y + 2 = 0  ..(i)

⇒ 2xy = - 1   ..(ii)

From (ii);

⇒ 2xy = - 1

⇒ x = - 1/2y

Put above value in (i), we get;

⇒ 2 × - 1/2y + 3y + 2 = 0

⇒ - 1/y + 3y + 2 = 0

⇒ - 1 + 3y² + 2y = 0

⇒ 3y² + 2y - 1 = 0

⇒ 3y² + 3y - y - 1 = 0

⇒ 3y (y + 1) - 1 (y + 1) = 0

⇒ (3y - 1) (y + 1) = 0

⇒ y = 1/3

And, y = - 1

So, The value of x is,

⇒ x = - 1/2y

⇒ x = - 1/2 × - 1

⇒ x = 1/2

And, x = - 1/2 × 1/3

⇒ x = 1/6

Thus, The intersection point on the lines = (1/2, - 1) and (1/6, 1/3)

Learn more about the substitute method visit:

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Plz answer this is important

Answers

Answer:

6

Step-by-step explanation:

It's just an educated guess but going from point A to point B there's six parts that the graph is separated by. (the lines.)

The graph is separated by the lines

please helpppppppppp!!

Answers

Answer:

[tex](w ^{2})^{5} = {w}^{10} [/tex]

I hope I helped you^_^

Answer:

w raised to the power of 10

Step-by-step explanation:

When you have a power raised to a power, you multiply the exponents.

You can check by using a real number for the variable

(2²) raised to the power of 5

4 raised to the power of 5 = 4 x 4 x 4 x 4 x 4 = 1024

5x2 = 10

2 raised to the power of 10 = 1024

HELP ILL GIVE BRAINLIEST PLS QUICK

Answers

Answer:

Y =2X +2

y = 2(13) + 3

y = 29 after 13 months

Step-by-step explanation:

x1 y1  x2 y2

0 2  2 6

   

(Y2-Y1) (6)-(2)=   4  ΔY 4

(X2-X1) (2)-(0)=    2  ΔX 2

   

slope= 2          

B= 2          

   

Y =2X +2    

Find MN
Segment addition postulate

Answers

Answer:

MN= 6

Step-by-step explanation:

Let MP= 32 and NP = 2632 - 26 = 6

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

4n² + 3n +5 and 2n²+3​

Answers

Answer:

6n^2+3n+8

Step-by-step explanation:

simplify like terms. keep the exponent the same degree it started as

Emma jogs 2 miles along the beach in 1/3 of an hour. If she travels at a constant rate, how far will she jog in an hour?

Answers

Answer:

6

Step-by-step explanation:

you do 2 times 3 because you 2 miles is only 1/3 and you want do get the answer for an hour so 2/3 is 6

Answer:

6 miles

Step-by-step explanation:

If emma jogs at a constant rate she will travel 6 miles in 1 hour.

1/3 of an hour times 3 equals 1 hour and the 2 miles every 1/3 times 3 will be 6

hope it helps

Peyton needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $77 for parts. The total was $497. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Answers

Answer:

Step-by-step explanation:

the equatoin is 4x+77=497

and x is the hours spent

so solving it you subtract 77 from 497 which is 420 and 420/4 is equal to 105

geometry help
1)what is the measure of the segment AB
2)what is the measure of segment CD
how so?

Answers

Answer:

AB = 18, CD = 16

Step-by-step explanation:

The 3 segments make the whole line , that is

AB + BC + CD = AD , substitute values

AB + 20 + (BD - BC) = 54

AB + 20 + (36 - 20) = 54

AB + 20 + 16 = 54

AB + 36 = 54 ( subtract 36 from both sides )

AB = 18

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

BC + CD = BD , substitute values

20 + CD = 36 ( subtract 20 from both sides )

CD = 16

Answer:

Step-by-step explanation:

what is the solution to 6x-(3-1)=2

Answers

Answer:

x= 2/3

Step-by-step explanation:

So, uh- First you subtract the numbers

6x-(3-1)=2

6x-(2)=2

Then you multiply the numbers

6x-1 ⋅ 2= 2

6x-2=2

(Rest of the steps:)

add 2 to both sides of teh equation

simplify

divide both sides of the equation by the same term

the simplify :V

Then you have yer answer....

sry, I am new to this :\

Which of the following is the equation of the line that has x-intercept -2 and y-intercept -6?
А. y=-3x - 6
B. y=-2x - 6
C. y=-6x-2
D. y = 3x - 2

Answers

Answer:

a

Step-by-step explanation:

y=mx+c, where c is the y-intercept. hence,

y=mx-6

at the x-intercept, y=0 and x = -2

0 = m(-2)-6

2m = -6

m = -3

y = -3x-6

Answer:

a

Step-by-step explanation:

0 = m(-2)-6

M = -3

Y = -3x-6

square root of the quantity x minus 2 end quantity plus 8 equals x

solve for x

Answers

Answer:

x = 11.

Step-by-step explanation:

√(x - 2) + 8 = x

√(x - 2) = x - 8

Square both sides:

x - 2 = (x - 8)^2

x - 2 =  x^2 - 16x + 64

x^2 - 17x + 66 = 0

(x - 6)(x - 11) = 0

x = 6, 11.

With this type of question we could have extraneous roots so:

Check these 2 roots:

x = 6:

√(2 - 6) + 8 = √(-4)+8   <----- has no real value so this is not a root,

x = 11:

√(11-2) + 8 = 11    <  ----Checks out.

Answer:

x = {6, 11}

Step-by-step explanation:

[tex]\sqrt{x-2} + 8=x[/tex][tex]\sqrt{x-2} = x - 8[/tex]x - 2 = (x - 8)²x² - 16x + 64 = x - 2x² - 17x + 66 = 0x = (17 ± [tex]\sqrt{17^2- 4*66}[/tex]) / 2x = (17 ± 5)/2x = 11x = 6

show me step by step : 22.04 x 9 =

Answers

Answer:

the answer is 198.36

Step-by-step explanation:

i dont know lol sorry

7 squared plus 10 times 5 plus 10

Answers

Answer:

109

7²=49               (7×7=49)

10×5=50

Therefore,

49+50+10= 109

The answer would be 109.
7^2 = 49
10 X 5 = 50
50 + 10 = 60
49 + 60 = 109

Solve for x Round your answer to the newer hundredth.
11.22x - 200 < 347.96
(9th grade Algebra 1)

Answers

X< 48.84

The first answer

4. HM SENSE-MAKING
A local gym membership costs $20 per month plus additional activity charges. If x is the number of exercise classes taken above the planned amoun and y is the number of massages taken above the planned amount, interpret each expression.
a. 15%
b. 55y
c. 15x + 55y + 20 ​

Answers

Answer:

15x+55y+20

Step-by-step explanation:

mark me brainlest

The expression of the total cost of the gym will be 15x + 55y + 20. Then the correct option is C.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Local gym membership costs $20 per month plus additional activity charges. If x is the number of exercise classes taken above the planned amount of $15 and y is the number of massages taken above the planned amount of $55. Then the expression of the total cost of the gym will be

⇒ 15x + 55y + 20 ​

The expression of the total cost of the gym will be 15x + 55y + 20. Then the correct option is C.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Point C is located between points B and D. Also BC = 5x + 7, CD = 3y + 4, BD = 38, and BD = 2x + 8y. Find the values of x and y

Answers

Using location of points and a system of equations, it is found that:

The value of x is 3.The value of y is 4.

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

Point C is located between points B and D means that:

[tex]BD = BC + CD[/tex]

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

We are given that:

[tex]BC = 5x + 7[/tex][tex]CD = 3y + 4[/tex][tex]BD = 38[/tex][tex]BD = 2x + 8y[/tex]

From this, two equations can be built.

[tex]2x + 8y = 38[/tex]

Dividing both sides by 2:

[tex]x + 4y = 19[/tex]

[tex]x = 19 - 4y[/tex]

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

Finding y:

[tex]BC + CD = BD[/tex]

[tex]5x + 7 + 3y + 4 = 38[/tex]

[tex]5x + 3y + 11 = 38[/tex]

[tex]5x + 3y = 27[/tex]

Since [tex]x = 19 - 4y[/tex]

[tex]5(19 - 4y) + 3y = 27[/tex]

[tex]95 - 20y + 3y = 27[/tex]

[tex]17y = 68[/tex]

[tex]y = \frac{68}{17}[/tex]

[tex]y = 4[/tex]

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

Finding x:

[tex]x = 19 - 4y = 19 - 4(4) = 19 - 16 = 3[/tex]

The value of x is 3.

The value of y is 4.

A similar problem is given at https://brainly.com/question/10956693

<3 and <4 are supplementary angles. Given m<3 = 56°, find m<4.

Answers

m<3=56°m<4=?

Both are supplementary angles.

[tex]\\ \rm{:}\twoheadrightarrow m<3+m<4=180[/tex]

[tex]\\ \rm{:}\twoheadrightarrow 56+x=180[/tex]

[tex]\\ \rm{:}\twoheadrightarrow x=180-56[/tex]

[tex]\\ \rm{:}\twoheadrightarrow x=124[/tex]

Simplify each expression.
1. 92

Answers

Answer: 81

Concept:

When a number is being squared, to being put to any power, it means the number multiplies itself by the amount of times indicated by the exponent.

For example, if 3 is to the 3rd power, then it would appear to be 3 × 3 × 3.

Solve:

Given

Simplify exponents

=9 × 9

Simplify by multiplication

=[tex]\boxed{81}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Pls answer, you can get 100 points for answering, I'd give more but i can't.

Answers

Step-by-step explanation:

All steps are in picture.

If you have any question about it you can ask.

Thanks

#a

a(1)=1a(n)=3a(n-1)

[tex]\\ \sf\longmapsto a(2)=3a(1)=3(1)=3[/tex]

[tex]\\ \sf\longmapsto a(3)=3a(2)=3(3)=9[/tex]

[tex]\\ \sf\longmapsto a(4)=3a(3)=3(9)=27[/tex]

[tex]\\ \sf\longmapsto a(5)=3a(4)=3(27)=81[/tex]

#b

b(1)=1b(n)=-2+b(n-1)

[tex]\\ \sf\longmapsto b(2)=-2+b(1)=-2+1=-1[/tex]

[tex]\\ \sf\longmapsto b(3)=-2+b(2)=-2-1=-3[/tex]

[tex]\\ \sf\longmapsto b(4)=-2+b(3)=-2-3=-5[/tex]

[tex]\\ \sf\longmapsto b(5)=-2-5=-7[/tex]

You are graphing rectangle ABCD in the coordinate plane. The following are three of the vertices of the
rectangle: A(3,5), B(3,-4), and C(-2,-4).
What are the coordinates of point D?

Answers

Answer:

(-3,-5)

Step-by-step explanation:

The answer is (-3,-5)

Answer:

-2,5

Step-by-step explanation:

from coordinates A and B we see the length so the width must be A and D

6139m=_____km. answer pls i beg

Answers

Answer:

6.139km

Step-by-step explanation:

1000m = 1km

6139m = 6139/1000km = 6.139km

Answer:

6.139 km

Step-by-step explanation:

1 m = (1/1000) m

So, 6139 m

= (6139/1000) km

= 6.139 km

state two similarities and one difference between the graphs of f(x)=3^x and g(x) = (1/3)^x

Answers

Answer:

i have the sam

Step-by-step explanation:

s

Someone help please

Answers

Answer
It’s the first one I guess
Since it’s obviously given in the sequence
Hope it’s correct
Sorry if wrong :’(

12. Willie rented a bike from Sarawong's Bikes. It cost $18 plus $5 per hour. Il Willie paid $63 then he rented the bike for how many hours? WILL NEED WORK DONE AND WILL GIVE BRAINLIEST​

Answers

9 hours is the correct answer
9 x 5 = 45
45 + 18 = 63

Answer:

9 hours

Step-by-step explanation:

Let the number of hours is x.

Set up an equation and solve for x:

5x + 18 = 635x = 63 - 185x = 45x = 45/5x = 9
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