What is the exact value of cos 3pi/4

Answers

Answer 1

Answer:

cos(3π/4) = -√2/2

Step-by-step explanation:

According to the unit circle, the exact value of cos(3π/4) is -√2/2.

What Is The Exact Value Of Cos 3pi/4
Answer 2

The exact value of cos 3π/4 is - 1/√2

Here we have to find the exact value of

cos 3π/4

Since we know that,

The values of all trigonometric functions depending on the ratio of sides of a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.

We can write,

cos 3π/4 = cos(π/2 + π/4)

Since we know that,

cos(π/2 + θ) = - sin θ

Therefore,

⇒ cos(π/2 + π/4)   = - sin π/4

                             = - 1/√2

Hence,

⇒ cos 3π/4 = - 1/√2

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Related Questions

What is an equation that is true for all values of the variable

Answers

Answer:

x=x

Step-by-step explanation:

What is the factorization of the trinomial below?
x2 - 6x + 5
O A. (X - 4)(x - 2)
O B. (X - 5)(x - 1)
O C. (x + 4)(x - 2)
O D. (x + 5)(x - 1)

Answers

B. [tex](x - 5)(x - 1)[/tex] ✅

Step-by-step explanation:

[tex] {x}^{2} - 6x + 5 \\ \\ = \:{x}^{2} - 5x - x + 5 [/tex]

Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have

[tex] =\: x(x - 5) - 1(x - 5)[/tex]

Taking the factor [tex](x-5)[/tex] as common,

[tex]=\:(x - 5)(x - 1)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Find f(-2) for f(x) = 3x2^x

Answers

2^-2
Is 1/2^2=1/4
3 x 1/4 is 3/4
The answer is 3/4 I think

The value of function f (- 2) would be,

⇒ f (- 2) = 3 / 4

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The value of function is,

⇒ f (x) = 3 × 2ˣ

Now,

At x = - 2;

The value of function f (- 2) would be,

⇒ f (x) = 3 × 2ˣ

⇒ f (- 2) = 3 × 2⁻²

⇒ f (- 2) = 3 × 1 / 4

⇒ f (- 2) = 3 / 4

Thus, The value of function f (- 2) would be,

⇒ f (- 2) = 3 / 4

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50 POINTS! SHOW WORK OR ILL REPORT! Multiplying mixed numbers

Answers

Answer:

15/2 = 7 1/2

Step-by-step explanation:

3 1/3 * 2 1/4 =

= (3 * 3 + 1)/3 * (2 * 4 + 1)/4

= 10/3 * 9/4

= 90/12

= 45/6

= 15/2

= 7 1/2

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

See this attachment

please help i am actually so confused on this one

Answers

Answer:

C

Step-by-step explanation:

Using pythagoras theorem, you will find that AC= 12,

[tex]\sqrt{13^2-5^2}= 12[/tex]

Sin A = Opposite / Hypotenuse, in this case the opposite of A is CB which is 5ft, and then Hypotenuse of the right angled triangle is AB. which is 13ft.

So, Sin A = 5/13

Tan A= Opposite/ Adjacent,

Opposite is CB, which is 5ft, adjacent is AC, which  is 12ft.

So, Tan A= 5/12

Cos A= Adjacent/Hypotenuse,

we know adjacent is 12ft and that hypotenuse is 13ft.

So Cos A= 12/13

However Sec A is the inverse of cos A.

So, Sec A= 13/12.

3(7x)-2(4-x) simplify the expression

Answers

Answer:

23x - 8 is the answer in simplify that expression

Answer:

[tex]3(7x)-2(4-x)[/tex]

[tex]21x-2(-x+4)[/tex][tex](21x+2x)-8[/tex][tex]23x-8[/tex]

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

hope it helps...

have a great day!!

A pair of dice was rolled many times and the results appear below. Based upon these results, what is the experimental probability of rolling a multiple of 3?
Outcome
2 3 4 5 6 7 8 9 10 11 12
Frequency
3 6 8 11 14 16 15 12 9 5 1 The percent probability is = [ ? ]%
Round to the nearest percent.

Answers

Answer:

The exponential probability should be 33%.

Step-by-step explanation:

[tex]4 \div 12 = .33 \\ [/tex]

[tex].33 \times 100 = 33\%[/tex]

The experimental probability of rolling a multiple of 3 will be 33%.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A pair of dice was rolled many times and the results appear below. Based upon these results.

Outcome      2     3     4     5     6     7     8     9     10     11     12

Frequency    3    6     8     11     14   16    15    12     9      5      1

Then the experimental probability of rolling a multiple of 3 will be

Favorable events = 6 + 14 + 12 + 1 = 33

Total events = 100

Then the probability will be

P = (33 / 100) x 100

P = 0.33 x 100

P = 33%

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Graph the line with slope - 1 passing through the point (-3, 3). ​

Answers

Answer:

Y=-x

Step-by-step explanation:

Y=mx+c

y=3, x= -3, m=-1

(-1)(-3)=3

3-3=0

S0,

c=0

y=-x

Answer:

This is how your graph with slope of -1 and (-3,3) should look like. I hope this helps you!!

Step-by-step explanation:

For any exponential function of the form f(x) = a · b^x where b≠0, what is the y-intercept of the graph of f(x)?

(0,a)
(1,0)
(a,0)
(0,1)

Answers

Answer:

1) (0,a)

Step-by-step explanation:

f(0) = a. b^0 = a. 1 = a

=> (0,a)

look at pic 10 pts will mark brainilest

Answers

Answer: Perimeter=24 ft

Explanation: 2+5+7+2+5+3=24

1) Find the missing part, 7-2=5
2) Find the other missing part, 5-2=3

Find the solution of the system of equations.
6x+2y = 16
20 - 2 = 32

HELP PLSSSS

Answers

are there variables in the second equation?

A tortoise is walking in the desert. . It walks for 7 minutes at a speed of 8.75 meters per minute. For how many meters does it walk ?

Answers

Answer: 61.25 meters

8.75meters x 7mins= 61.25 meters

Step-by-step explanation:

Well it would be 8.75 ×7 which is 61.25m

name an outcome that has a probability between 0.5 and 1​

Answers

Answer:

a coin flip

Step-by-step explanation:

The probability of an event is a number describing the chance that the event will happen. An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero.

The figure is made up of 2 rectangles and 2 right triangles. What is the area of the figure? 132 units2 156 units2 168 units2 216 units2

Answers

132 units2

Just find the area of each shape:
Big triangle- 1/2 x 8 x 9 = 36 units2
Small triangle- 1/2 x 4 x 6 = 12 units2
Big rectangle: 15 x 4 = 60 units2
Small rectangle: 6 x 4 = 24 units2

Add them all up together:
36 + 12 + 60 + 24 = 132 units2

Trust me this is the answer.
COM.MENT ME IF U HAVE ANY QUESTIONS
(Pls say if im right)

A brainliest would be nice!
-SpaceMarsh

PLS HELP ASAP!!!!!! BRAINLIEST GETS 20 POINTS

Answers

hm//jhfjvxxdfcgjhkjlkl.jjkmmbvdxfoknkbkbkbhb

Kelly collected $15, $15, $25, and $29 in the last four donations. What is the
mode of these donations?

A. $15
B.$20
C. No mode

Answers

Step-by-step explanation:

15 may be

HOPE IT HELP U ...

Answer:

A. $15 is the mode.

Step-by-step explanation:

In order to answer this question, we need to know the definition of mode. "The mode of a set of numbers is the number that occurs the most" Since out of the four numbers, the one that appears the most is $15, then $15 is the mode.

9 sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways can the
gold, silver, and bronze medals be awarded?

Answers

Answer:

in three different ways the first one gets a gold one the other 4 printers get silver n the last 4 printers get bronze.

Translate the sentence into an equation. The quotient of a number and 8 is 16. What is the solution to the equation? One-half 2 128 164

Answers

Answer:

128

Step-by-step explanation:

I did the math

Answer:

it's 2 :)

Step-by-step explanation:

quotient is a term used in division so you divide

16 divided by 8 is 2 <3

don't forget to say thanks if you got it right ! :)

AD=3, BD=5, AE=4. Find CE

Answers

Answer:

6.6

Step-by-step explanation:

Triangles ADE and ABC are similar.

Therefore,

AD/AB=AE/AC

3/8=4/AC

3AC=32

AC=10.6(3 s.f)

CE=10.6-4=6.6

Please help someone! Very important!

Answers

Answer:

OH NO

Step-by-step explanation:

Step-by-step explanation:

oh srr, I'm Vietnamese and I don't know your

country's solution

but i think my answer is correct :((

Which summation properties or formulas must be used to evaluate this summation? Check all that
apply

Answers

Given:

Summation problem is:

[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]

To find:

The properties or formulas must be used to evaluate the given summation.

Solution:

We have,

[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]

In can be rewritten as:

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}(n^3+n)[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}n^3+\sum\limits_{n=1}^{35}n[/tex]        [tex]\left[\because \sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i\right][/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(35+1)}{2}\right]^2+\dfrac{35(35+1)}{2}[/tex]  [tex]\left[\because \sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2\right][/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(36)}{2}\right]^2+\dfrac{35(36)}{2}[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[630\right]^2+630[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=396900+630[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=397530[/tex]

Therefore, the properties and formula used are:

[tex]\sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i,\\\sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\\\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2[/tex]

Answer: see attachment below

Step-by-step explanation:

Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?

Answers

Answer:

What is 1/3 of 814

Step-by-step explanation:

What is 1/3 of 814

Answer: I think C

Step-by-step explanation:

A pair of elephants walk 26 meters on a straight slope. The height of the slope is 12 meters. Find the angle between ground and the top of the hill.

Answers

Answer:

36

Step-by-step explanation:

What is the value of x? 63, 42, 50

Answers

Answer:

Step-by-step explanation:

The following sample was collected during registration at a large middle school. At the 0.05 level of significance, can it be concluded that level of math is dependent on grade level?
Honors Math Regular Math General Math
6th Grade 34 45 15
7th Grade 37 49 13
8th Grade 29 45 17
Hypotheses:
H0: Level of math is independent of/dependent on grade level.
H1: Level of math is independent of/dependent on grade level.
Enter the expected matrix - round to 4 decimal places.

Answers

Solution :

The expected matrix is :

[tex]$E_i=\frac{(\text{row total } \times \text{column total})}{\text{grand total}}$[/tex]            Honors        Regular       General

     6 th grade                                       33.0986      46.0070      14.8944

     7 th grade                                       34.8592      48.4542       15.6866

     8 th grade                                       32.0423      44.5387       14.4190

Thus we can say that the level of math is not dependent on the grade level.

Therefore, the provided information is correct. Test Stat = 1.4007, p-value = 0.844070419

[tex]H_0[/tex] : The level of math is independent of the grade level.

[tex]H_1[/tex] : The level of math is dependent on the grade level.

Using the quadratic formula to solve x2 = 5 – X, what are the values of x? -1 + 21 2 -12/19/ 2 5+21 2 1+ 191 2​

Answers

Answer:

[tex] {x}^{2} = 5 - x \\ { \tt{ {x}^{2} + x - 5 = 0 }} \\ \\ { \bf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ \\ { \tt{x = \frac{ - 1± \sqrt{21} }{2} }} \\[/tex]

please answer this thank you ​

Answers

Answer:

diameter [d]=15cm

radius [r]=7.5cm

slant height be l

and

height be h.

lateral surface area of cone =

πrl=477cm²

l=477/(3.1416*7.5)

l=20.244

now

h=[tex]\sqrt{20.2²-(7.5/2)²}=20cm[/tex]

height=20cm.

LSA of cone = πrl = 477cm²

L = 477/(3.1416 × 7.5)

L = 20.244

Height (h) = √{20.2²-(7.5/2)²}

h = 20cm

Cual es la ecuación recta de m=2 y p (2,3)

Answers

Answer:

y=2x-1

Step-by-step explanation:

use slope formula

the substitute into slope intercept form

PLEASE HELP ME! It’s easy I just don’t remember.

Answers

Answer:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.

θ=arccot(x/o)

el que me responda rápido le doy coronita cuanto es 99+88+77+66+55+44+33+22+11+11+22+33+44+55+66+77+88+99

Answers

Answer:

990

Step-by-step explanation:

99+88+77+66+55+44+33+22+11+11+22+33+44+55+66+77+88+99=990

Answer:

Answer:

990

Step-by-step explanation:

99+88+77+66+55+44+33+22+11+11+22+33+44+55+66+77+88+99=990

Step-by-step explanation:

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A bag holds 20 red marbles and 40 green ones, for a total of 60 marbles. Ryan picks one marble from the bag at random, hoping to pick a red marble. Which of the following statements is true?a. The probability that Ryan will pick a red marble on the first try is 67%. If he keeps this marble and picks another from the bag, the probability that he will pick a green marble decreases.b. The probability that Ryan will pick a red marble on the first try is 33%. If he keeps this marble and picks another from the bag, the probability that he will pick a green marble increases.c. The probability that Ryan will pick a red marble on the first try is 33%. If he keeps this marble and picks another from the bag, the probability that he will pick a green marble decreases.d. The probability that Ryan will pick a red marble on the first try is 67%. If he keeps this marble and picks another from the bag, the probability that he will pick a green marble increases. please help with this !!!! what is intrusion in connected speech in detail? SO you hopefully selected that an Allele is a form of a gene. BUT what is this really...A. an allele is a protein that causes hair no hair in the guinea pigB. an allele is a length of DNA with a specific sequence of nitrogen bases that make a protein that results in Hair or No Hair on the guinea pig PLS HELP ASAP! FIND THE VOLUME OF X. Qu ocurre segun una clula se hace ms grande? *A Su volumen disminuye.B Su superficie aumenta.D Su necesidad de nutrientes disminuye. BRAINLIEST IF CORRECT 2 [19 marks]state of the main dams supplying the Cape Metropolitan area with waterascompared to the five previous years is reflected in the table below.The capacity is given in million cubic meters (million m').TABLE 2: Water level of dams supplying water in the Cape Metropolitan area.BULKDAN STORAGECurrent PreviousCAPACITY%weekweek201220132014201520166 AugWEMNERSHOEK58,64479.199.999.971.169.160.8STEENBRAS LOWER33,517100.2100.6100.190.664.163.4STEENBRAS UPPER31,76799.6102.4100.3100.699.6100.7VOELVLEI164,09573.694.899.949.557.655.3THEEWATERSKLOOF480,18884103.3102.971.950.249.2BERG RIVER130,010103.8101.8100.78564.562.2TOTAL STORED899,221 770,625 908,922 912,967 641,009 512,850 501,397% STORAGE85.81012101.671.457.155.82.1What does the word capacity mean?(2)2.2Determine the range of the capacity of these dams.(3)2.3Determine the median capacity of these dams.(3)2.4Which dam showed an increase in the water level from 2015 to2016?(2)2.5(3)Calculate, to the nearest million m. the current amount of water inthe Berg River damWhich dam's water level remained the most constant over this five yearperiod?2.6(2) 20. What is an irreversible change? I need the answer for the problem thats above done can someone help? please. A pattern starts at 3 and follows the rule 5What point on each number on the number line that is in the pattern Q9. Place the stars in order from highest temperature (1) to lowest temperature (8). NEED HELP ASAPThe function f(x) = 7x + 1 is transformed to function g through a horizontal compression by a factor of 1/3. What is the equation of function g?Substitute a numerical value for k into the function equation. s !!ss = Two points, a and b, are graphed on the number line below. Maynard says there is not enough information to write an inequality statement comparing a and b. Which statement explains whether or not Maynard is correct? a b -10 0 10 Maynard is correct. There is no way to tell which exact numbers a and b represent, so he cannot write an inequality. Maynard is correct. There is no way to tell if a and b are positive or negative, so he cannot write an inequality Maynard is incorrect. On the number line, a is to the left of b. so a Maynard is incorrect. On the number line, a is to the left of b. So a > b. carlos is using a hose to fill a bucket. the path of the water can be represented by the function f(t) where f(t) represents the height of the water in inches and t represents the time in seconds. A 0.25 kg mass is placed on a vertically oriented spring that is stretched 0.56 meters from its equilibrium position. If the spring constant is 105 N/m, how fast will the mass be moving when it reaches the equilibrium position? Hint: You cannot ignore the change in gravitational potential energy in this problem. Please give your answer in units of m/s, however, do not explicitly include units when typing your answer into the answer box. the ratio of A:B is 3:4, the ratio of C:D is 1:2, the ratio of B:C is 2:5 What is the ratio of A:D? Choose the atom that has the largest atomic radius.a. Clb. Sc. Nad. Si 100 points and reward brainliest!(28-b)xb=187b = ?