Explanation:
On taking LHS
Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]
We know that
π = 180°
2π = 2×180° = 360°
3π/2 = (3×180°)/2 = 540°/2 = 270°
Now
LHS becomes
Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]
We know that
Cos (270°+θ) = Sin θ
Cos (360°+θ) = Cos θ
Cot (270°-θ) = Tan θ
Cot (360°+θ) = Cot θ
→ Sin θ Cos θ [Tan θ + Cot θ]
→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]
→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]
→ Sin θ Cos θ [1/(Sin θ Cos θ)]
Since Sin²θ+Cos²θ = 1
→ (Sin θ Cos θ)/(Sin θ Cos θ)
→ 1
→ RHS
→ LHS = RHS
Hence, Proved.
Here are the formulae that I have used:
→ π = 180°
→ Cos (270°+θ) = Sin θ
→ Cos (360°+θ) = Cos θ
→ Cot (270°-θ) = Tan θ
→ Cot (360°+θ) = Cot θ
Here are the Trigonometric Identities that I have used:
→ Sin²θ+Cos²θ = 1
Quis
Jika
A= 2
B= 3
D=2
maka
A x B ÷C
Answer:
A= 2
B= 3
D=2
maka
A x B ÷C
2 x 3 ÷ 2
=6 ÷ 2
=3
Answer:
A= 2
B= 3
D=2
maka
A x B ÷C
2 x 3 ÷ 2
=6 ÷ 2
=3
I need answer immediately!!!!!!
Its division and fractions i advise calulater soup
Solve the simultaneous equations
x-6y=5
xy - 2y2 = 6
-
Show clear algebraic working.
Answer:
(- 7, - 2 ) , (9.5, 0.75 )
Step-by-step explanation:
Given the equations
x - 6y = 5 ( add 6y to both sides )
x = 5 + 6y → (1)
xy - 2y² = 6 → (2)
Substitute x = 5 + 6y into (2)
(5 + 6y)y - 2y² = 6 ← distribute and rearrange left side
5y + 6y² - 2y² = 6
4y² + 5y = 6 ( subtract 6 from both sides )
4y² + 5y - 6 = 0 ← in standard form
(y + 2)(4y - 3) = 0 ← in factored form
Equate each factor to zero and solve for y
y + 2 = 0 ⇒ y = - 2
4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex] = 0.75
Substitute these values into (1) for corresponding values of x
y = - 2 : x = 5 + 6(- 2) = 5 - 12 = - 7 ⇒ (- 7, - 2 )
y = 0.75 : x = 5 + 6(0.75) = 5 + 4.5 = 9.5 ⇒ (9.5, 0.75 )
(- 7, - 2 ) and (9.5, 0.75 ) are the solutions.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Here, we have,
Given the equations
x - 6y = 5 ( add 6y to both sides )
x = 5 + 6y → (1)
xy - 2y² = 6 → (2)
Substitute x = 5 + 6y into (2)
(5 + 6y)y - 2y² = 6 ← distribute and rearrange left side
5y + 6y² - 2y² = 6
4y² + 5y = 6 ( subtract 6 from both sides )
4y² + 5y - 6 = 0 ← in standard form
(y + 2)(4y - 3) = 0 ← in factored form
Equate each factor to zero and solve for y
y + 2 = 0 ⇒ y = - 2
4y - 3 = 0 ⇒ 4y = 3 ⇒ y = = 0.75
Substitute these values into (1) for corresponding values of x
y = - 2 : x = 5 + 6(- 2) = 5 - 12 = - 7 ⇒ (- 7, - 2 )
y = 0.75 : x = 5 + 6(0.75) = 5 + 4.5 = 9.5 ⇒ (9.5, 0.75 )
To learn more on equation click:
brainly.com/question/24169758
#SPJ2
A cylindrical glass has a radius of 4 centimetres and a height of 6 centimetres. A. large cylindrical jar full of water is a similar shape to the glass. The glass can be filled with water from the jar exactly 216 times. Work out the radius and height of the jar.
Please answer correctly with explanation :-)
Step-by-step explanation:
follow the above attachment.
hope this helps you.
can someone help please? u dont have to show work so dont mind that
Answer:
Factor the numerator and denominator and cancel the common factors.
x/4+3/2 or 32/4 or Reduce the expression, if possible, by cancelling the common factors. 8 is your final answer
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
First, you substitute.
x + 6 / 4
26 + 6 / 4
Then, you add.
26 + 6 = 32
Finally, you divide.
32 / 4 = 8
Answer: 8
Yash can buy three pencils and have 49c change, or he can buy five pencils and
have 15c change.
(1) Write this information as an equation for x the cost in cents of one pencil.
(ii) How much money did Yash have to start with?
Answer:
(ii) 1 dollar
Step-by-step explanation:
each pencil costs 17 cents
- thus 3 pencils x 17c is 51c
1.00 dollars minus 0.51 is 49
- 5 pencils x 17c is equal to 85
1.00 dollars minus 0.85 is 15 c
Evaluate -(2")(2º).
A.1/8
B. -8
C. 8
D.-1/8
Answer:
= -8
(hope this helps) :)
help me please.
Rounding questions.
Step-by-step explanation:
a) 6400
b) 4800
c) 32000
hope this answer helps you dear!
[tex]10\times 5\times 13=?[/tex]
Answer:
[tex] = > 10 \times 5 \times 13[/tex]
[tex] = > 50 \times 13[/tex]
[tex] = > 650[/tex]
PLEASE HELP WILL MARK BRAINLIEST NO RANDOM ANSWERS
Hello salvadorbea340!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] - (6y - 4) + (6y - 4) - ( - 2)[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]-(6y-4)+(6y-4)-(-2)[/tex]
Firstly, let's open the brackets of the 1st term, i.e. - (6y - 4).
[tex] -( 6y - 4) \\ = \underline{\underline{- 6y + 4}}[/tex]
Now, the 2nd term [ (6y - 4) ].
[tex] + ( 6y - 4) \\ = \underline{\underline{ + 6y - 4}}[/tex]
Now, the 3rd term ⇨ - (- 2)
[tex] -( - 2) \\ = \underline{\underline{ + 2}}[/tex]
Now, let's bring the equation together.
[tex]- (6y - 4) + (6y - 4) - ( - 2) \\ = - 6y + 4 + 6y - 4 + 2[/tex]
Now, let's solve the equation.
Firstly, bring the like terms together.
[tex]- 6y + 4 + 6y - 4 + 2 \\ = - 6y + 6y + 4 - 4 + 2[/tex]
Now cancel out -6y & +6y and 4 & -4 as they make 0.
[tex]- 6y + 6y + 4 - 4 + 2 \\ = \bcancel{- 6y }+ \bcancel{6y} + \bcancel{ \: \: 4 } \: \: - \bcancel{ \: 4 }+ 2 \\ = 0 + 2 \\ = 2[/tex]
And, the only number left is 2. So our answer is 2.
[tex] = \large\boxed{\boxed{ 2}}[/tex]
__________________
Hope it'll help you!
ℓu¢αzz ッ
The slope and y intercept
Answer:
the y intercept is 5 because the line passes through 5 on the y axis. Now to find the slope, pick two points where the line hits directly on the corner of the grid squares. pIck 2 of those and count the squares up till you are lined up with your other point then count over and get another number. Put the number going up over the number going down like x/y and you'll have your answer. ( simplify it if you can.(-2,3) and (0,5) are a good place to start. The answer should be 2/3. Hope this helped and God bless!
These are two similar triangles
What is the measure of x?
24
12
X
4
x = [?]
=
950.3 divided by 37 were doing partial product divison
subtract (3x^3-2x+5)-(-4x^3+3x-6)
Answer:
7x^3-5x+11
Step-by-step explanation:
(3x^3-2x+5)-(-4x^3+3x-6)
Distribute
3x^3-2x+5+4x^3-3x+6
Simplify
7x^3-5x+11
helppppppppppppppppppppppppppppppppppppppppppp sorry for that
Answer:
a)2 * 2 = 4
b)2 * 3/2 = 3
c) 20 * 3/2 = 30
d) 100 * 8/5 = 160
e)473*1/100=4.73
f)111*1/100=1.11
Answer:
answers are written
Step-by-step explanation:
2xx671.0can somebody please just help me do not answer if you do not know
Answer:
it could be 34 , 34 and 82
or 34 , 73 and 37
Step-by-step explanation:
angles in a triangle add up to 180. in and isosceles triangle two angles are always the same so there will be 2 possible outcomes.
pls mark brainalist
literally can no one help, i said id give brainliest and anything u need, i jst want all of it answered
can someone check these for me? lmk if they are wrong and how to correct them please
Answer:
the 1. is y = (5/4)x + 6 and 2 . is y = 20x+10, so you are right, both of them correct
Solve the system of equations using the substitution method.
x+y=6
x = 2y
Answer:
x=4, y=2
Step-by-step explanation:
if x=2y just put 2y into the spot where x is for x+y=6
x+y=6
(2y) + y = 6
3y = 6
y = 2
now that I know y I can then replace y with the number 2
x= 2y
x = 2(2)
x= 4
At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $2.40 and the cost of a large greeting card is $3.70. How much would it cost to get 2 small greeting cards and 3 large greeting cards? How much would it cost to get x small greeting cards and y large greeting cards?
Answer:
1)15.9
depends on what x and y are but put 15.9 ig
Step-by-step explanation:
Answer:
cost of smalls + cost of larges so the answer is 2.40+3.70
Step-by-step explanation:
PLEASE HELP ME WITH GEOMETRY 15 POINTS
If x=√7/5 and 5/x=p√7 find p
Plz tell fast
I will mark as branliest
Thank you
Replace x with √7/5
5/√7/5 = p √7
Divide both sides by √7
P = 5/√7/5 /√7
P = 25/7
Answer: p = 25/7
Express the values below I’m scientific notation 52,800g, 255.6m, 0.04109cm!?
Answer:
1) 5.28 x 10^4 g
2)2.556 x 10^2 m
3)4.109 × 10^-2cm
Have a nice day!!!!!
Answer:
52,800 in scientific notation is [tex]5.28[/tex] × [tex]10^4[/tex].
255.6 in scientific notation is [tex]2.556[/tex] × [tex]10^2[/tex].
0.04109 in scientific notation is [tex]4.109[/tex] × [tex]10^{-2}[/tex].
Can someone please help me with this?
Find the x- and y-intercepts of the equation.
4x − 2y = 2
(A) (1/2,0). (0,1)
(B). (2, 0), (0, −1)
(C). (2, 0), (0, −1)
(D). (1/2, 0), (0, −1)
Answer:
Option D
Step-by-step explanation:
Convert to slope-intercept form:
[tex]4x-2y=2[/tex]
[tex]-2y=2-4x[/tex]
[tex]y=-1+2x[/tex]
[tex]y=2x-1[/tex]
Find the x-intercept by plugging in y=0:
[tex]y=2x-1[/tex]
[tex]0=2x-1[/tex]
[tex]1=2x[/tex]
[tex]\frac{1}{2}=x[/tex]
[tex]x=\frac{1}{2}[/tex]
Therefore, the x-intercept is [tex](\frac{1}{2},0)[/tex]
Find the y-intercept by plugging in x=0:
[tex]y=2x-1[/tex]
[tex]y=2(0)-1[/tex]
[tex]y=0-1[/tex]
[tex]y=-1[/tex]
Therefore, the y-intercept is [tex](0,-1)[/tex]
So, the correct answer is option D.
Answer:
D
Step-by-step explanation:
1. To find the x intercepts, set y equal to 0 and solve for x
4x - 2y = 2
4x -2(0) = 2
4x - 0 = 2
4x = 2
x = 1/2
2. To find the y intercepts, set x equal to 0 and solve for y
4x - 2y = 2
4(0) - 2y = 2
0 - 2y = 2
-2y = 2
y = -1
pls help..........!!!!!!
Answer:
1) 1085 ÷ 7
7 )1085(155
- 7
38
- 35
× 35
- 35
0
1085 ÷ 7 = 155
2) 7104 ÷ 32
32 )7104(222
- 64
× 70
- 64
×64
- 64
××
7104 ÷ 32 = 222
3) 2244 ÷ 51
51)2244(44
- 204
×244
- 244
×××
2244 ÷ 51 = 33
4) 1584 ÷ 12
12)1584(132
- 12
×38
- 36
×24
- 24
××
1584 ÷ 12 = 132
5) 1467 ÷ 9
9)1467(163
- 9
56
- 54
27
- 27
××
1467 ÷ 9 = 163
6) 2830 ÷ 28
28)2830(101
- 28
××3
- 0
30
- 28
×2
2830 ÷ 28 = 101 with the remainder 2
7) 9090 ÷ 45
45)9090(202
- 90
××9
- 0
90
- 90
××
9090 ÷ 45 = 202
8) 7000 ÷ 62
62)7000(112
- 62
×80
- 62
180
- 125
×55
7000 ÷ 62 = 112 with the remainder 55
9) 1150 ÷ 15
15)1150(76
- 105
×100
- 90
10
1150 ÷ 15 = 76 with the remainder 10
Hope that my answer is right and helpful to you
writing carla has already written 10 pages of a novel she plans to write 15 additional pages per month until she is finished A.write an equation to find the total number of pages P written after any number of months MB. graph the equation on the grid at the rightC. find the total number of pages written after 5 months
Answer:
P = 5M + 10
Step-by-step explanation:
15 pages/month * M months + 10 pages = P pages
5 Months = 5*15 + 10 = 85 pages
Write the standard form of 7384000000
Answer:To write a linear expression in standard form, rearrange the terms in alphabetical order.
7384000000
Step-by-step explanation:
Answer:
738400000.0
Step-by-step explanation:
738400000.0*10^10
Matt's pool table is 3 feet wide and 9 feet long. Matt wants to replace the felt on the pool table. The felt costs $4.00 per square foot. How much would it cost in total to replace the felt on the pool table?
Answer:
$108
Step-by-step explanation:
3X9= 27square foot. Then you multiply 27 by 4, which equals $108
What is the value of h(3)?
–2
–1
1
2
Answer:
C) 1
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
Step-by-step explanation:
h(3) means that x = 3. That's the right side of the x axis. At that point, h(3) has a y value of 1.
What is another name for an ordered subset?
A. Probability
B. Combination
C. Permutation
Answer: b
Step-by-step explanation: