Answer:
[tex]\displaystyle \tan\frac{5\pi}{12}=2+\sqrt{3}[/tex]
Step-by-step explanation:
Tangent Half Angle
Given an angle θ, then:
[tex]\displaystyle \tan {\frac {\theta }{2}}=\frac {\sin \theta }{1+\cos \theta}[/tex]
We are required to find:
[tex]\tan\frac{5\pi}{12}[/tex]
But it cannot be found in tables of main angles. We can use the angle
[tex]\theta = \frac{5\pi}{6}[/tex]
And use the formula above to find the required operation. Hence:
[tex]\displaystyle \tan\frac{5\pi}{12}=\tan\frac{\frac{5\pi}{6}}{2}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\sin \frac{5\pi}{6} }{1+\cos \frac{5\pi}{6}}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\frac{1}{2} }{1-\frac{\sqrt{3}}{2}}[/tex]
Operating:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\frac{1}{2} }{\frac{2-\sqrt{3}}{2}}[/tex]
Simplifying:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{1}{2-\sqrt{3}}[/tex]
Rationalizing:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{1}{2-\sqrt{3}}\cdot \frac{2+\sqrt{3}}{2+\sqrt{3}}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{2+\sqrt{3}}{2^2-\sqrt{3}^2}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{2+\sqrt{3}}{4-3}[/tex]
Finally:
[tex]\boxed{\displaystyle \tan\frac{5\pi}{12}=2+\sqrt{3}}[/tex]
Multiply. Write your answer in simplest form 1/3 x 1/6
Answer:
1/18
Step-by-step explanation:
1 x 1 = 1
3 x 6 = 18
1/18
rearrange y= -3/4x + 2 in standard form with a positive lead to coefficient
Answer:
Step-by-step explanation:
[tex]y=-\frac{3}{4} x+2\\add\frac{3}{4} x to both sides\\y+\frac{3}{4} x=-\frac{3}{4}x+\frac{3}{4} x+2\\y+\frac{3}{4}x=2\\\frac{3}{4} x+y=2[/tex]
Please mark me as brainliest!
What is the measure of /GMH
A 40°
B 45°
C 50°
D 90°
Answer: A
Step-by-step explanation: /GMK is a right angle and /HMK is 50 degrees so 90-50=40
Solve for V.
3y=39
Simplify your answer as much as possible.
Answer:
3y=39 :3
y=13
Step-by-step explanation:
prove me wrong
the girl boy ratio was 9-7 if 63 girls attended how many boys attended?
Answer:
49 100 percnet
Step-by-step explanation:
9:7
times by 7
The number of boys attended are 49.
What is the definition of the ratio?In mathematics, a ratio is a term used to compare two numbers. It is used to express how large or small an amount is in comparison to another. A ratio compares two quantities by dividing them. The dividend is referred to as the 'antecedent,' while the divisor is referred to as the 'consequent.'For the given question.
Let the number of girls be 'x' = 63.
Let the number of boys be 'y'.
The ratio of girls to boy is 9:7.
Thus,
x/y = 9/7
Boys = ?
y = 7x/9
Put x = 63
y = 7×63/9
y = 49
Thus, the number of boys attended are 49.
To know more about the ratio, here
https://brainly.com/question/12024093
#SPJ2
If y = -5, what is the value of
2y+2
-
4
Answer:
-12
Step-by-step explanation:
Ok so I'm guessing that's a -4 but if its not, please correct me.
y= -5 is going to be plugged into 2y+2-4
This means that 2(-5)+2-4=?
2(-5) is the equivalent to 2 times -5, which is -10 (you solve multiplication first because order of operations)
Now, 2-4=-2
So using this, let's combine both equations!
-10+-2=?
?=-12
It's a lot of steps but they get easier the more you do them <3
what is the answer to y=2x-9
Sorry to break it to you, but...
That's a line equation my dude. There's no answer.
Answer:
x=4.5 y=0
Step-by-step explanation:
For the x coordinate set y to zero for the y coordinate set x to zero. Example:
0=2x-9
9=2x
4.5=x
Name the solution........
Answer:
No solution
Step-by-step explanation:
here you go mate
step 1
3x+y=-3,3x+y=3 equation/solution
step 2
3x+y=-3 add -3x
y=-3x-3
step 3
3x+y=3 substitute and simplify
0=6
answer
no solution
here is the questions sorry lol
Answer:
The first one is c, I’m pretty sure, the second one is a white block, and I don’t fully understand the last question but I’m pretty sure you’re correct
Step-by-step explanation:
Answer:
C. (0,-3)
Blank
D. (4,-5)
Step-by-step explanation:
(-1,-5)is point before translation (+1,+2)
(0,-3) after translation
Ok second one
90 degree counterclockwise rotation about the origin rule
A(x,y) becomes A'(-y,x)
n=(-5,-4) ok so -4 becomes positive 4
(4,-5)
Hope this helps!!
2 + 2 = ______________________________________________
Answer:4
Step-by-step
plz help me with math :)
Answer:
it would be 3 in the first box and 24 in the other
Step-by-step explanation:
because the ratio is 3 years to 24 montsh most of the time the larger number is on the left and the smaller number is on the right and 3 years is more than 24 months 24 months is only two years
need a correct answer
A B C D E F
Answer:
B and D
F also has vertical angles however they haven't been numbered like the others
If you invent something, you have ____
A commenced something
B devise something
C originated something
D discover something
Don’t answer if u don’t know
Answer:
here are the definitions of each..
Step-by-step explanation:
Commence: begin; start
Devise: plan or invent (a complex procedure, system, or mechanism) by careful thought.
Originated: create or initiate (something).
Discover:find (something or someone) unexpectedly or in the course of a search.
so it cant be A of D so it would have to be B of C but i think the best answer is C
Answer:
If you invent something, you have ____
the answer is
C) originated something
FAST
Work out using calculator
a) 122
b) 142
c) 62
Find the square root of
a) 121
b) 900
c) 729
Answer:
Find square root
a 11×11
B 30×30
C 27×27
Determine the value of x
Answer:
I would think it is 8
Step-by-step explanation:
By assuming the triangles are equal to each other in a way that the larger triangle is the smaller triangle's length times 2. For example, one side of the smaller triangle is 11 so times 2 would be the larger triangle's side. So, by dividing 16 by two, you would get 8. Hope this helped and that I did it correctly!
If Lucy runs 1 2/3 miles each day, how many miles will Lucy run in 2 days?
Answer:
She will run 3 1/3 miles in 2 days
Step-by-step explanation:
1 2/3 + 1 2/3 = 2 4/3
= 3 1/3
Answer:
10/3 and mixed fraction is 3 1/3
Step-by-step explanation:
Simplify the expression given below.
X+2/x^3+2x^2-9x-18 divided by 3x+1 / x^2-9
A. 1 / (x+3)(x-3)
B. 3x +1
C. 1 / 3x+1
D. 3x + 1 / (x+3) (x-3)
Answer:
D
Step-by-step explanation: your welcome have a good day
Answer:
C. [tex] \dfrac{1}{3x + 1} [/tex]
Step-by-step explanation:
[tex] \dfrac{x + 2}{x^3 + 2x^2 - 9x - 18} \div \dfrac{3x + 1}{x^2 - 9} = [/tex]
Factor all polynomials.
[tex] = \dfrac{x + 2}{x^2(x + 2) -9(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} [/tex]
[tex] = \dfrac{x + 2}{(x^2 - 9)(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} [/tex]
[tex] = \dfrac{x + 2}{(x + 3)(x - 3)(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} [/tex]
To divide by a fraction, multiply by its reciprocal.
[tex] = \dfrac{x + 2}{(x + 3)(x - 3)(x + 2)} \times \dfrac{(x + 3)(x - 3)}{3x + 1} [/tex]
Cancel out common factors in the numerator and denominator.
[tex] = \dfrac{1}{3x + 1} [/tex]
does someone know how to do this
Answer:
us
Step-by-step explanation:
(B)
bbbbbbbbbbbbbbbbbbbbbbbbbWhat’s the constant of proportionality
(COP= constant of proportionality) help plz
Margaret is a waitress at The Seafood Bonanza. She earns $3 an hour plus 90% of her tips. Write an equation for her salary, S, if she works h hours and earns d dollars
in tips.
Answer: 3h + 0.9s
Step-by-step explanation:
90% is the same as 0.9 of..
I don’t get this side of algebra need answer
Answer:
b
Step-by-step explanation:
Some one help please fast help ASAP
Answer: (x, y) --> (x, -y)
Step-by-step explanation:
This is a reflection over the x-axis so its only the y-intercept that changes.
Answer:
its a reflection
Step-by-step explanation:
If it were a rotation, it wouldnt have overlapped.
If it were a translation, It would have been the wrong way up and not overlapping.
When reflected over line x, it will overlap because it stays rigid and does not change shape or size.
hope this helps :)
He highest priced diamond ever sold at auction weighed 69.42 carats and sold for $1,050,000. A carat is equal to 0.2 grams. What was the weight of this diamond in grams?
Answer:
13.884 grams
Step-by-step explanation:
From the question:
1 carat = 0.2 grams
The highest priced diamond = 69.42 carats.
Hence:
1 carat = 0.2 grams
69.42 carats = x grams
x grams = 69.42 × 0.2 grams
x grams = 13.884 grams
Hence, the weight of the highest priced diamonds is 13.884 grams.
Combining Like Terms
1. 10Z-4B+3Z+16B-Z
2. -5M-3P+5P+12P
3. 12P-4M+8P-3M-2P
4. 10B-5M-4B+8B-4M
5. 4Z+3Z-6Z+B
6. 7B+3X-8B+6X
(By the way Those letters without a number by it, is 1. So EX: 4Z+5+Z is 5Z+5 )
Step-by-step explanation:
1. 10Z–4B+3Z+16B–Z = 10Z+3Z–Z+16B–4B
= 12Z+12B = 12(Z+B)
2. –5M–3P+5P+12P = 12P+5P–3P–5M = 14P–5M
3. 12P–4M+8P–3M–2P = 12P+8P–2P–4M–3M
= 18P–7M
4. 10B–5M–4B+8B–4M = 10B+8B–4B–5M–4M
= 14B–9M
5. 4Z+3Z–6Z+B = Z+B
6. 7B+3X–8B+6X = 6X+3X+7B–8B = 9X–B
On a math exam containing 36 questions, there are
8 questions on geometry and 6 questions on
statistics. The other questions are on numeration.
Which part of the exam is on numeration?
Answer:
22
Step-by-step explanation:
What is the range of the cluster in the scatter plot?
A: Between 4 and 8 years of experience
B: Between 6 and 12 years of experience
C: Between $10,000 and $60,000
D: Between $40,000 and $60,000
Answer:
b
Step-by-step explanation:
(GIVING BRAINLIEST!!!!!!)
Solve 1 ÷ 1/2 = ________
A) 2
B) 3
C) 4
D) 5
Answer:
B
Step-by-step explanation:
Becuase 1 divide 1/2
You make the division sign a multiplication sign
1 time 1/2
get the recipricol of 1/2 wich is 2
1 times 2/1
is 2
Judy makes 2/5 of a beaded necklace on Monday she makes 3/10 of the necklace on Tuesday she makes 1/5 of the necklace on Wednesday what fraction of the necklace has Judy made so far
Answer: 9/10
Step-by-step explanation:
Fraction of beaded necklace made on Monday = 2/5
Fraction of beaded necklace made on Tuesday = 3/10
Fraction of beaded necklace made on Wednesday = 1/5
Total fraction made would be the addition of the Fractions made from Monday to Wednesday. This would be:
= 2/5 + 3/10 + 1/5
The lowest common multiple of the denominator is 10. Therefore we'll make them have a common denominator.
= 2/5 + 3/10 + 1/5
= 4/10 + 3/10 + 2/10
= 9/10
4) Find the measure of the third angle.*
10 points
B
10 mm
540
5.9 mm
?
A
8.1 mm
60
35
36
Answer:
36
Step-by-step explanation:
angle A + angle B + angle C= 180°
180=90+54+angle A
angle A = 36
Answer:
b??? I think I'm so sorry if this is wrong I tried
The height of the roof will be 9 feet instead of 5 feet. Determine the length, in feet of the diagonal wood beams on the new roof. Find the leg. a^2 + 9^2=13^2
Answer:
√88
Step-by-step explanation:
a^2 + 9^2=13^2
a² = 13² - 9²
a² = 169 - 81
a² = 88
Take square root of both sides
a = √88