[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]
Differentiate y = tan²x from first principle
Answer:
[tex]y'=2sec^2(x)tan(x)[/tex]
Step-by-step explanation:
HELPP ASAPP
FIRST PERSON GET BRAINIEST
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!!!
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
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
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
Which of of the following statements are true? Select all that.
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
Answer:
The correct answer is A
Step-by-step explanation:
When you simplify it it's A
Determine the mean of the following data. Choose the correct option.
7, 8, 9, 2, 4, 5, 12, 9
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?
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.
Answer:
See belowStep-by-step explanation:
Initial cost = $52
Markup for operting expences = 34%
$52 + 34% = $52*1.34 = $69.68Markup 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 = $48.86c) The percent of markdown:
25/73.86*100% = 33.85% (rounded)d) The absolute loss:
$69.68 - $48.86 = $20.82Answer this and i mark u branliest
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?
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
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
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?
Let see
KM²=LM×MJ6²=LM×3LM=36/3LM=12Option B
12x +15x² - 18x³
Factorise the expression
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
Express in the form 1 : n , give n as a demical : 20 : 15
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
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.........
Answer:
um 21
Step-by-step explanation:
which part of the cell makes proteins?
a) chromosomes
b) ribosomes
c) lysosomes
d) mitochondrion
The following can be deposited in a savings account: (check all that apply)
1. Jewels
2. Cash
3. Paycheck
4. Coin
5. Checks
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.
This is the Answer :
true
Which value for Y makes this sentence true?
y = 1/5
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?
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
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 ?
what number is 90% of 140?
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 = 126Shortcut
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 = 126Answer:
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
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?
Answer:
50/50 chance a black ball will be picked