What is the exact value of cos(11pi/12)

What Is The Exact Value Of Cos(11pi/12)

Answers

Answer 1

9514 1404 393

Answer:

  [tex]\text{(a)} \quad -\dfrac{\sqrt{2+ \sqrt{3}}}{2}[/tex]

Step-by-step explanation:

The angle is near π, so the cosine value is a negative value near -1. This means the value under the numerator radical must be slightly less than 4. The only answer choice that makes any sense is the first choice.

The value of the cosine is ...

  cos(11π/12) ≈ -0.9659

The values of the answer choices are ...

  a) -0.9659 . . . . matches the required value

  b) -0.2588

  c) 0.2588

  d) 0.9659

_____

You could use half-angle or angle sum formulas to figure this exactly, but it is much easier to make a multiple-choice selection based on your general knowledge of the cosine function and √3 (≈1.73).

Answer 2

Answer:a

Step-by-step explanation:

Edge:)


Related Questions

Which ratios form a proportion?
A) 4/10 and 10/25
B) 4/9 and 9/4
C) 3/5 and 9/25
D) 4/11 and 6/13

Answers

A) 4/10 and 10/25
These rations form a proportion.

H/7 =27 can some one answer this pls

Answers

Answer:

h=189

Step-by-step explanation:

solve for H by simplifying both sides of the equation, then isolating the variable.

hope this helped

There are 4 circles and 1 triangle what is the simplest ratio

Answers

Answer: 1:1 or 2:1

Step-by-step explanation:

4:1, you can’t simplify anymore due to the fact that there’s only one triangle and rations don’t go for under 1

help please what type of angle is this, and what is x?

Answers

Answer:

50 Pick me brainliest

Step-by-step explanation:

Answer:

x = 50

Step-by-step explanation:

These angles are vertical angles. Vertical angles are congruent to each other. Therefore, 3x° = (2x+50)°

Subtract 2x from each side.

x=50

a piece of cheese weighting 2/3 pound is to be divided into 8 equal portions. what will be the weight of each portion?

Answers

Answer:

1/12 lb

Step-by-step explanation:

2/3 x 1/8 = 2/24 = 1/12

Answer: 1/12

Step-by-step explanation: 2/3 / 8/1 is actually multiplying the first number by the reciprocal of the second. So 2/3 x 1/8. That equals 0.08333... or 1/12.

Hope this helps!

If you take out a loan for $4,000 and you will owe $4,920 after 2 years, what is the rate of simple interest? Express your answer as a percentage rounded to the nearest tenth of a percent if necessary, but do not include the percent sign.

Answers

Answer:

11.5

Step-by-step explanation:

Answer:

11.5

Step-by-step explanation:

you have to use this equation to solve it [r = (1/t)(A/P - 1)] and basically just plug the numbers in to get 11.5. (you could also use one of those online calculators)

r = (1/2)((4920/4000) - 1) = 0.115

r = 0.115

1.8 divide by 0.72 explain

Answers

Answer:

0.40

Step-by-step explanation:

Change the divisor 1.8 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

7.2 ÷ 18 = 0.40

and therefore:

0.72 ÷ 1.8 = 0.40

Both calculated to 2 decimal places.

Suppose that out of 10 trees planted in a yard, only five survived. What kind of hypothesis could you make about this observation or event

Answers

Answer: The condition to which the trees were exposed played a part in their inability to survive.

Step-by-step explanation:

From the report given in the question, we can hypothesize on a number of grounds as to why only 5 of the 10 trees survived. Hypothesis is very common in statistical parlance as it could be referred to as a claim about a particular event which is only inferred and has not been proved either wrong or right. This hypothesis or claim are further scrutinized or tested in other to establish a fact or validity of the claim. Hence, we could infer that the reason why only 5 of the trees planted survived is due to harsh weather condition. However, this claim will be subjected to further test before establishing the truth or significance of the hypothesis.

Solve for k, please!

2(k − 5) = 12

Answers

Answer:

k = 11

Step-by-step explanation:

Expand brackets

2k - 10 = 12

add 10 on both sides

2k = 22

divide both sides by 2

k = 11

PLZZ HELPP ILL GIVE BRAINLIST

Answers

it’s green:b purple:d blue:c red:a because


Complete the ratio table for Car A.

Answers

Answer:

The answer for miles driven is 100 for the first blank, 400 for the second blank, and 600 for the third blank. As you can see, that is how the pattern goes. The blank for Gallons of gas one is 12, and the blank for gallons of gas two is 20.

Step-by-step explanation:

An air conditioning system can circulate 420 cubic feet of air per minute. How many cubic yards of air can it circulate per​ minute?

Answers

Answer:

15.5556 cubic yards

Step-by-step explanation:

A yard is equal to three feet.  Divide the volume value by 27 (3 cubed).

3. There are 2 girls and 3 boys on a camping trip. What is the ratio of girls to boys on the trip? Choose all that apply. 2:3 2 to 5 2:5 2 to 3

Answers

Answer:

2:3

Step-by-step explanation:

5 in total as you subtract the dudes

Please help ASAP !! Via the photo below

Answers

Answer:

y-3 = -4 (x-1)

Step-by-step explanation:

y= -4x - 5

In slope-intercept form, they give us the slope, -4, and the y-intercept, -5 (we don't need for point-slope form).

Use the point (1,3) and substitute it into the equation.

Point-slope form: y-y1 = m(x-x1)

y-3 = -4 (x-1)

A publisher reports that 55% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 280 found that 51% of the readers owned a laptop. Make the decision to reject or fail to reject the null hypothesis at the 0.05 level.

Answers

Answer:

We fail to reject the null hypothesis, we accept H₀

Step-by-step explanation:

Population proportion        p₀   =  55 %    p₀   =  0,55

Sample  size         n  =  280

Sample mean     p =  51 %            p =  0,51       q = 0,49

n*p   and  n*q   are both bigger than 10 therefore we can approximate the binomial distribution to a normal distribution

Test  Hypothesis

Null Hypothesis                             H₀                   p   =  p₀

Alternative Hypothesis                Hₐ                    p   ≠  p₀

Significance level is  α  = 0,05    but we have a two-tail test then

α/2  =  0,025

z(c)  =  - 1,96

Computing  z(s)

z(s)  =  ( p - p₀ ) / √(p*q)/n

z(s)  =  ( 0,51 - 0,55 ) / √(0,51*0,49)/280

z(s)  =  - 0,04 * 16,73 / 0,5

z(s)  =  -  1,34

Comparing

z(s)   and z(c)

- 1,34    <    - 1,96

| z(s) | < | z(c)|

Then z(s) is in the acceptance region,  we accept H₀

Usually Holly leaves home to school at 9:00, however today she left home 20 minutes later. In order to be at school on time she increased her usual speed by 20% and still was at school 15 minutes later than usual. What is her usual time from home to school

Answers

Answer:

Her usual time from home to school is 30 minutes

Step-by-step explanation:

At any point in time;

distance = speed * time

Here, we want to calculate the normal time she spent going from home to school

Let the normal time be x minutes

And the normal speed be t m/min

Today, she increased her speed by 20%

Her speed today will be t + 20/100 * t =

1.2t m/min

Her distance from how to school normally is

xt meters

Now what this means is that, at the increased speed, she was able to get to school 5 minutes earlier

What we are saying is although, she lost 20 minutes initially, she was able to beat down the lateness by 5 minutes

So, the time spent on her increased speed journey is;

(x-5) minutes

At any point in time, the distance will be equal;

Thus, mathematically;

xt = 1.2t(x-5)

xt = 1.2xt - 6t

6t = 1.2xt-xt

6t = 0.2xt

t cancels out

0.2x = 6

x = 6/0.2

x = 30 minutes

I don't understand can someone help me PLZ

Answers

The answer is 1/2. Count how many a out of the total.

Answer:

1/2

Step-by-step explanation:

the circle has 8 pieces so that's how you get the denominator

you count how many A's there are and that is your numerator

so now 4/8 and reduce to get a half

XLiV represents 64 true ya false​

Answers

Answer:

False

Step-by-step explanation:

Given

[tex]XLIV = 64[/tex]

Required

True or False

The above numeral can be split as follows:

[tex]XLIV = XL + IV[/tex]

X means 10 and L means 50.

But because X (10) which is smaller comes before L (50), XL is executed as:

[tex]XL = -10 + 50[/tex]

[tex]XL = 40[/tex]

In Roman numerals;

[tex]IV = 4[/tex]

Substitute 40 for XL and 4 for IV.

[tex]XLIV = 40 + 4[/tex]

[tex]XLIV = 44[/tex]

Hence;

[tex]XLIV = 64[/tex] is false

The distance between -18 and 15 is equal to ______.
A. 18 - 15
B. 15 - 18
C. -18 - 15
D. 15 - (-18)

Answers

Answer:

It would be equal to 15 - (18)

Answer:

it would actually be (B)

I need help, pls !!!

Answers

Answer:

D) 11.2 Orange

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-8, -1)

Point (-3, 9)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute [DF]:                    [tex]\displaystyle d = \sqrt{(-3+8)^2+(9+1)^2}[/tex]Add:                                      [tex]\displaystyle d = \sqrt{(5)^2+(10)^2}[/tex]Exponents:                           [tex]\displaystyle d = \sqrt{25+100}[/tex]Add:                                      [tex]\displaystyle d = \sqrt{125}[/tex]Simplify:                               [tex]\displaystyle d = 5\sqrt{5}[/tex]Evaluate:                              [tex]\displaystyle d = 11.1803[/tex]Round:                                 [tex]\displaystyle d = 11.2[/tex]

The graph below shows the solution to which system of inequalities?

Answers

D is the answer to the problem

Find the missing exponent in each expression

Answers

Answer:

See below.

Step-by-step explanation:

Multiplying terms with exponents make the exponents add together.

13.) x² · x⁵ = x⁷

14.) b⁵ ·  b³ = b⁸

15.) y⁴ · y⁷ = y¹¹

16.) m⁴ · m¹ = m⁵


Which statement illustrates the commutative property of addition?
A. (8i + 4) + (-8i – 4) = 0
B. (8i)- (-8i)= 0
C. 8i + 4 = 4i + 8
D. 8i + 4 = 4 + 8i

Answers

Answer:D

Step-by-step explanation:its the same thing but the numbers are flipped, you get the same answer either way.

The statement that illustrates the commutative property of addition is

8i + 4 = 4 + 8i. The correct option is D.

What is the commutative property of addition?

The commutative property of addition:

Let a and b are numbers.

a + b =  b + a

The change in the position of two numbers in an addition operation does not change the sum.

The commutative property of addition:

Let a and b are numbers.

So, a + b =  b + a.

LHS = 8i + 4

= 2 (4i+2)

= 2(2 + 4i)

=  4 + 8i

That means,  8i + 4 = 4 + 8i holds the commutative property of addition.

Therefore, the equation is 8i + 4 = 4 + 8i.

To learn more about the commutative property;

https://brainly.com/question/778086

#SPJ2

Write 2 min : 1.5 min as a fraction​

Answers

Step-by-step explanation:2=120 1.5=90

[tex]therefore =3/4[/tex]

3/8 × 4/11 =
three eighths times four elevenths

Answers

Answer:

12/88, which is 3/22 in simplest form.

Answer:

12/88 Simplified:3/22

Step-by-step explanation:

you just multiply the numerator but the numerator and then denominator but the denominator. Then you just simplify

Hope that helps:)

fill in the boxes to show two ways you can find 8+6​

Answers

Answer:

(4+3) + (4+3) and (7-1) + (9-1)

Step-by-step explanation:

You can always break it down in half to make it easier.

What is the value of this expression 3x[(7+8)x2+6]

Answers

Answer:

96 or 108

Step-by-step explanatio

Oliver surveyed 880 of the students in his school about their favorite color. Students
could choose between red and blue. 35% said their favorite color was blue. How many
students' favorite color was red?

Answers

Answer:

572

Step-by-step explanation:

10%=88

5%=44

30%=264

35%=308= favourite colour blue

880-308=572= favourite colour red

Garth has a summer job and earns $9.32 per hour. One week, he works 16 34 hours. He deposits $150 in a bank and decides to use the rest of the money to buy raffle tickets. Each raffle ticket costs $0.50. How many raffle tickets can Garth buy?

Answers

Answer:

12 tickets

Step-by-step explanation:

Earning = $9.32 per hourWork hours = 16 3/4 = 16.75

Earning in week:

$9.32*16.75 = $156.11

Remaining money after he deposits $150:

$156.11 - $150 = $6.11

How many raffle tickets can be bought:

$6.11/$0.50 = 12 and $0.11 remains

Answer:

12 tickets

Step-by-step explanation:

1490 thousand help me get that number because I can't find them

Answers

Answer:

1,490,000

Step-by-step explanation:

Answer:

1490000?

Step-by-step explanation:

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