Find the exact value, without a
calculator.
30°
sin 15° sin
tan 15º =
2
cos 15° 30°
2
COS
II
[ ? ] - [
] + [
Enter

Find The Exact Value, Without Acalculator.30sin 15 Sintan 15 =2cos 15 302COSII[ ? ] - [] + [Enter

Answers

Answer 1

[tex]sin\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1-cos(\theta)}{2}} \qquad cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+cos(\theta)}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin\left( \cfrac{30^o}{2} \right)\implies \sqrt{\cfrac{1-cos(30^o)}{2}}\implies \sqrt{\cfrac{1-\frac{\sqrt{3}}{2}}{2}}\implies \sqrt{\cfrac{~~\frac{2-\sqrt{3}}{2}~~}{2}}[/tex]

[tex]\sqrt{\cfrac{2-\sqrt{3}}{2}\cdot \cfrac{1}{2}}\implies \sqrt{\cfrac{2-\sqrt{3}}{4}}\implies \boxed{\cfrac{\sqrt{2-\sqrt{3}}}{2}} \\\\[-0.35em] ~\dotfill\\\\ cos\left( \cfrac{30^o}{2} \right)\implies \sqrt{\cfrac{1+cos(30^o)}{2}}\implies \sqrt{\cfrac{1+\frac{\sqrt{3}}{2}}{2}}\implies \sqrt{\cfrac{~~\frac{2+\sqrt{3}}{2}~~}{2}} \\\\\\ \sqrt{\cfrac{2+\sqrt{3}}{2}\cdot \cfrac{1}{2}}\implies \sqrt{\cfrac{2+\sqrt{3}}{4}}\implies \boxed{\cfrac{\sqrt{2+\sqrt{3}}}{2}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{~~ sin\left( \frac{30^o}{2} \right)~~}{cos\left( \frac{30^o}{2} \right)}\implies \cfrac{~~\frac{\sqrt{2-\sqrt{3}}}{2} ~~}{\frac{\sqrt{2+\sqrt{3}}}{2}}\implies \cfrac{\sqrt{2-\sqrt{3}}}{2}\cdot \cfrac{2}{\sqrt{2+\sqrt{3}}} \\\\\\ \cfrac{\sqrt{2-\sqrt{3}}}{\sqrt{2+\sqrt{3}}}\implies \blacktriangleright \sqrt{\cfrac{2-\sqrt{3}}{2+\sqrt{3}}} \blacktriangleleft[/tex]


Related Questions

Differentiate y = tan²x from first principle​

Answers

Answer:

[tex]y'=2sec^2(x)tan(x)[/tex]

Step-by-step explanation:

HELPP ASAPP
FIRST PERSON GET BRAINIEST

Answers

Answer:

2,6 / Number 3

Step-by-step explanation:

Thats the right answer

Answer:

(2,6)

Step-by-step explanation:

moving 3units to the left gives (2,4) and 2units above gives (2,6) finally

Good people please don't leave me help!!! ​

Answers

Answer:

I hope it helped you

Step-by-step explanation:

Pls check the given attachment

I hope it helped you

What is the next term of the geometric sequence

Answers

Answer:

64/7

Step-by-step explanation:

Pattern = Multiplying by -4

-16/7 x -4/1

64/7

18. Simplify the expression.
(5)10 - (5)13

Answers

Answer:

Answer:

-15 is the answer

Step-by-step explanation:

According to the BODMAS (bracket of Division Multiplication Addition Subtraction) rule

=5*10-5*13

=50-65

=-15

The answer would be 15

Which of of the following statements are true? Select all that.

Answers

Answer:

I think the answer is <1 and <4 are supplementary angles

Which expression has a simplifled expression of 5x - 12?
-3(4 x - 4) - 7 x
3(4 x-4) - 7 x
31-4x + 4) - 7 x
-31-4 x - 4) - 7 x

Answers

Answer:

The correct answer is A

Step-by-step explanation:

When you simplify it it's A

A because the dude above me said A so like it’s A?

Determine the mean of the following data. Choose the correct option.
7, 8, 9, 2, 4, 5, 12, 9

Answers

Answer:

7

Step-by-step explanation:

mean means average

there are 8 numbers

add them all up

7+8+9+2+4+5+12+9=56

divide 56 by 8 = 7


The possible outcomes for rolling a pair of fair dice are shown below.

What is the probability of rolling a sum that is a prime number?

Answers

Answer:

5/12

Step-by-step explanation:

"When two dice are thrown, the total number of sample spaces is 36.

Favourable outcomes = {(1,1),(1,2),(1,4),(1,6),(2,3),(2,3),(2,5),(3,2),(3,4),(4,1),(4,3),(5,2),(5,6),(6,1),(6,5)}

Total number of favourable outcomes = 15

Hence, the probability of getting a sum of prime numbers = 15/36 = 5/12."

This was taken from a Byjus post.

Hope this helps.

A firm pays ​$52 for a car seat and wants a 34​% markup for operating expenses as well as a 6​% markup for profit.​ However, customers think the car seats are​ ugly, so they are not selling. Management reduces the price of each car seat by ​$25 to get rid of them.
Find ​(a) the selling​ price,
​(b) the reduced​ price,
​(c) the percent of​ markdown,
and ​(d) any operating or absolute loss.

Answers

Answer:

See below

Step-by-step explanation:

Initial cost = $52

Markup for operting expences = 34%

$52 + 34% = $52*1.34 = $69.68

Markup for profit = 6%

69.68 + 6% = 69.68*1.06 = 73.86 (rounded)

a) The selling price is $73.86

b) The reduced price is:

$73.86 - $25 = $48.86

c) The percent of markdown:

25/73.86*100% = 33.85% (rounded)

d) The absolute loss:

$69.68 - $48.86 = $20.82

Answer this and i mark u branliest

Answers

Step-by-step explanation:

5a.

10 white squares

15 shaded squares

5b.

a1 = 1 = 2×1 - 1

a2 = a1 + 2×2 - 1 = 2×1 - 1 + 2×2 - 1 = 2×(1+2) - 2

a3 = a2 + 2×3 - 1 = 2×(1+2+3) - 3

...

an = 2×(1+2+...+n) - n = 2×n×(n+1)/2 - n = n²

so,

a350 = 350² = 122,500

figure350 has 122,500 squares.

5c.

a1 = 1

a2 = a1 = 1

a3 = a2 + 5

a4 = a3 = 6

a5 = a4 + 9

a6 = a5 = 15

a7 = a6 + 13

a8 = a7 = 28

...

a(2n) = a(2n - 1)

a(2n - 1) = a(2(n-1) - 1) + 1 + 4(n - 1) = n×1 + 4(0+1+2+...+n-1) =

= n + 4×(n-1)×n/2 = n + 2×(n² - n) = 2n² - n

therefore,

a350 = a349

a349 = a(2×175 - 1) = 2×175² - 175 = 61,075

figure350 has 61,075 shaded squares.

Which angles are congruent to each other?

Answers

Answer:

5 and 7

Step-by-step explanation:

5 and 7 are vertical angles. The others are supplementary

Find the value of m if 13m + 24m = 41m

Answers

Answer:

m=0

Step-by-step explanation:

Add

13m

and

24m

.37

m=

41m

Move all terms containing m

to the left side of the equation.

find the valu of x 8: 10 =x:50​

Answers

Answer:

40

Step-by-step explanation:

50 / 10 = 5

8 * 5 = 40

Both should be divisible by same amount and that is 5.

Answer:

40

Step-by-step explanation:

What is the length of LM?

Answers

Let see

KM²=LM×MJ6²=LM×3LM=36/3LM=12

Option B

12x +15x² - 18x³
Factorise the expression ​

Answers

Answer:

-3x(2x+1)(3x-4)

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping.

Anser and Explanation:

First, factor out an x to get:

[tex]x(-18x^2 + 15x + 12)[/tex]

Then, factor out a -3:

[tex]-3x(6x^2 - 5x - 4)[/tex]

Finally, factor by grouping:

[tex]-3x(6x^2 + 3x - 8x - 4)[/tex]

[tex]-3x(3x(2x + 1) - 4(2x + 1))[/tex]

[tex]-3x(3x - 4)(2x + 1)[/tex]

so -3x(3x - 4)(2x + 1) is the factored expression.

please helpppppppppppppppp

Answers

Answer: y = 3/2x + 4

Explanation:
When you count on the graph, you can see that you have to move three spaces up and 2 spaces to the right to get to the next point. So that means our slope of the equation is 3/2

When we look at the y axis, we can see that the line intercepts it at (0,4). That would make our y intercept 4

So the equation would be y = 3/2x + 4

Express in the form 1 : n , give n as a demical : 20 : 15

Answers

Answer:

1 : 0.75.

Step-by-step explanation:

15/20 = 0.75

So its 1 : 0.75

Answer:

1 : 0.75

Step-by-step explanation:

20÷20=1

15÷20=0.75

n=0.75

what does -2/3 + 1/6 =

please show work

Answers

Answer: negative 1 over 2

− 1/2

=negative 0.5−0.5

Reason why:

Step 1 of 2: Add.

Add

(negative 2 over 3 − 2/3) + 1 over 6

1/6

= negative 3 over 6 −3/6

Simplify

negative 3 over 6−

3

6

= negative 1 over 2−

1/2

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

negative 3 over 6 −3/6

= −( 3 ÷ 3 ) over ( 6 ÷ 3 )

3 ÷ 3 6 ÷ 3 = negative 1 over 2 −1/2

help me please.........​

Answers

Answer:

um 21

Step-by-step explanation:

which part of the cell makes proteins?

a) chromosomes
b) ribosomes
c) lysosomes
d) mitochondrion

Answers

b)ribosomes make proteins
It’s b
Ribosomes is the only thing that makes proteins. Hope this helps

The following can be deposited in a savings account: (check all that apply)
1. Jewels
2. Cash
3. Paycheck
4. Coin
5. Checks

Answers

Jewels is the answer

Answer:  cash, paychecks, checks

Step-by-step explanation:

(: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (:

True or false?

The greater a fractional part of a circle an angle takes up, the smaller it’s measurement will be.

Answers

This is the  Answer :

true

Which value for Y makes this sentence true?
y = 1/5

Answers

Answer:

[tex] \frac{1}{5} [/tex]

making both sides d same value makes d sentence true

Tomijia and her nine classmates took a standardized test. Their scores were: 42, 44, 56, 71, 74, 83, 89, 90, 90, 92 If Tomijia received an 89 on the test, which percentile is she in?

Answers

The percentile of Tomijia's scores is her score as a percentage

If Tomijia received an 89 on the test, she is in the 70th percentile

How to determine the percentile?

The score of the tests are given as:

42, 44, 56, 71, 74, 83, 89, 90, 90, 92

From the above list of scores, the score 89 is at the 7th position.

So, we have:

Tomijia = 7/10

Express as percentage

Tomijia = 70%

Hence, if Tomijia received an 89 on the test, she is in the 70th percentile

Read more about percentiles at:

https://brainly.com/question/2884595

Can someone please help me with this

Answers

Answer:

1, 4, 6.

Step-by-step explanation:

[tex]\left(2n+8\right)\left(n+4\right)=2n^2+16n+32[/tex]

1. [tex]2(x+4)^2=2n^2+16n+32[/tex]

2. [tex]2\left(n+4\right)\left(n+4\right)=2(n+4)^2[/tex]

3. [tex]16n+32=16n+32[/tex]

4. [tex]2n^2+16n+32=2n^2+16n+32[/tex]

5. [tex]2n^2+8n+32=2n^2+8n+32[/tex]

6. [tex]2(n^2+8n+16)=2n^2+16n+32[/tex]

As you can see from the answers it is 1, 4, and 6.

7x=7.7 How would i figure this out ?

Answers

Divide by 7 on both sides to get x

what number is 90% of 140?

Answers

Answer:

126

Step-by-step explanation:

A percentage is a proportion of some whole number. There are 2 ways to find percentages. Firstly, you can multiply by a decimal, or you can use a shortcut.

Multiplying with Decimals

You can always rewrite percentages as decimals. To do this move the decimal point 2 digits to the left. This means that 90% becomes 0.90. Then multiply this decimal by the whole number to find the correct percentage.

0.90 * 140 = 126

Shortcut

Because 90% is a multiple of 10%, we can use a shortcut. First off, find 10% of 140. To find 10% of any number, move the decimal 1 digit to the left. This means 10% of 140 is 14.0. Next, 90% is 10% less than 100%. So, subtract 10% from 140 to find 90%.

140 - 14 = 126

Answer:

126

Step-by-step explanation:

We need to find 90% of 140.

90% is the same as 0.9 or 9/10.

140 can be written as 14 x 10.

Multiply 14 x 10 with 9/10.

⇒ 14 x 10 x 9/10

[The 10 and 1/10 cancel out by cross multiplication]

⇒ 14 x 9

126

Using scales of 1cm to 30° on the x axis and 2cm to 1 unit on the y axis,draw the graph of y=sin 0 for 0°less than or equal to 0 less than or equal to 360°.Using the graph to a)find the equation b) solve the equation i)sin0=0.6 ii)4sin0=-3​
Help me and will mark brainlest

Answers

Answer:

Attachment 1:  graph of [tex]y=\sin(\theta)[/tex]

(using given scale)

Question (a) (Attachment 2)

[tex]\sin(\theta)=0.6[/tex]

Draw the line [tex]y=0.6[/tex] (shown in blue).

Find the points of intersection of the sine curve and the line.

Measure to find the values of [tex]\theta[/tex]

[tex]\theta=37^{\circ},143^{\circ}\:\textsf{(nearest degree)}[/tex]

Question (b) (Attachment 3)

[tex]4\sin(\theta)=-3[/tex]

[tex]\implies \sin(\theta)=-\dfrac34[/tex]

Draw the line [tex]y=-\dfrac34[/tex] (shown in red).

Find the points of intersection of the sine curve and the line.

Measure to find the values of [tex]\theta[/tex]

[tex]\theta=229^{\circ},311^{\circ}\:\textsf{(nearest degree)}[/tex]

A bag contains seven red balls, five green balls, four yellow balls, and two black balls. A ball is picked at random
from the bag. What is the probability that the ball will NOT be black?


Answers

Answer:

50/50 chance a black ball will be picked

Other Questions
Which of the following is a way to positively encourage those around you to make healthy choices?A. You convince a friend of yours, who just started volunteering on the weekends, to ditch his volunteer commitment so he can come to a party instead.B. You encourage one of your friends to change up her wardrobe a bit, since classmates make fun of her for what she wears.C. You point out to a friend of yours that a sip or two of alcohol once in a while isn't really going to hurt him and that he should give it a try.D. You volunteer once a week at a local children's shelter, and you invite some friends to join you one afternoon. X-3y-7=0. 3x-3y-15=0 elimination method Do animals have more traits in common as adults, or as developing embryos? Explain youranswer. --What type of emotions does the story make you feel? Why does the story make you feel that way? Heritage day,how does the celebration of the holidays bring Unity and close the gaps of the past? Find the slope and y intercept Cellular ______ is all of the chemical reactions in cells.Activitymetabolismenzymes Im really confused feedback would be appreciated! Read the following sentence: Mama filled her basket with tulips from her backyard garden, not from a store. Which part of this sentence tells something the reader is likely to know already? A. Gardens are located in backyards most of the time. B. Gardens tend to have tulips more than other flowers. C. Flowers that are places in baskets are probably tulips. D. Flowers from a garden are probably not from a store. A revolving door continues to rotate even after the person pushing it exits. Is it Newton's first law of motion, Newton's second law of motion. or Newton's third law of motion? jack had m problems to complete during his vacation. (a) how many problems did jack solve per day? (b) suppose jack was solving 15 problems per day. (c) How many problems were assigned for homework why are women's rights important? HELPP You are given two particles, each with a positive charge,and a box that is 1 m by 1 m. How would you arrange theparticles to create the weakest electric force betweenthem? Explain. Which of these types of words are spelled the same but have different meanings?A. SynonymsB. AntonymsC. EtymologiesD. Homographs Eddie ate a cup of pineapple instead of a cookie for dessert, which increased his nutrient minimums.TrueFalse give example of volunteering in your community. explain how volunteering can provide direction for your future career goals The average distance between the Sunand Mars is about 228 million km.What is this distance in standard form?Give your answer in kilometres (km) Why did the Atlantic slave trade grow in the Americas? Find the sum of -2 + 3i and -1- 2i. How to solve problems in different ways and how to do them correct and fast so that way I kneo