Find the exact value of sin(255∘)
Answers
Check the picture below.
[tex]\textit{Sum and Difference Identities} \\\\ sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(255^o)\implies sin(135^o+120^o) \\\\\\ sin(135^o)cos(120^o)~~ + ~~cos(135^o)sin(120^o) \\\\\\ \left( \cfrac{\sqrt{2}}{2} \right)\left( -\cfrac{1}{2} \right)~~ + ~~\left( -\cfrac{\sqrt{2}}{2} \right)\left( \cfrac{\sqrt{3}}{2} \right)\implies -\cfrac{\sqrt{2}}{4}~~ - ~~\cfrac{\sqrt{6}}{4}\implies \cfrac{-2-\sqrt{6}}{4}[/tex]
Related Questions
The nisure below is made of 2 rectangular prisms. What is the volume of this figure? 5 m 4 m 2 m 9 m 5 m
Answers
Answer: Find the volume of a rectangular prism whose length, width, and height are 8cm, 6cm, and 4cm, respectively. Therefore, the volume of a rectangular prism is 192 cm 3.
Solve for n:
n
---- = 1
20
A. n = 23
B. n = 15
C. n = 20
D. n = 32
Answers
Answer:
The answer is C
Step-by-step explanation:
[tex]\frac{n}{20}*20 = 1 * 20[/tex]
1 x 20 = 20
Answer:
C) n = 20
Step-by-step explanation:
hope it helps!
Which of the following is described below?
This object is infinitely small. It is
comprised of a single location.
B. Line
A. Point
D. Plane
C. Ray
Answers
Answer:
A. Point
Step-by-step explanation:
A point is infinitely small and comprised of a single location.
hope this helps!! p.s. i really need brainliest :)
The object that is infinitely small among the option is a point. Option A is correct.
What is standard measurement?All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.
Here,
The object that is infinitely small among the option is a point. Because there is no instrument that can measure the point. Since a point is nothing but a demonized dot. While line, ray, or plane are infinitely long and their measure can be possible.
Thus, the object that is infinitely small among the option is a point. Option A is correct.
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Find the area of the figure.
Answers
Answer:
6 x 8 = 48
Step-by-step explanation:
Help help help math math math
Answers
Answer:
adjacent
Step-by-step explanation:
share the same side
Answer:
adjacent
Step-by-step explanation:
What is the first term of the arithmetic series?
a1 =
143
⇒ 8
What is the 20th term of the arithmetic series?
a20 =
⇒ 46
How many stitches are in the first 20 rows of the shawl?
⇒ 540 stitches
Answers
I don't think this is wrong
16. What is the area of the shaded region in terms of Tr? [20 points]
Answers
= πr2
= π(5)2
=25 π
Area of the bigger circle inside
= π x(3)2
= 9 π
Area of the smaller circle inside
= π x (2)2
= 4 π
Area of shaded region
= 25π - 9π - 4π
= 12π square unit
Which is the graph of 4x – 3y = 12?
Answers
Answer:
it is the last graph
Step-by-step explanation:
The product of an irrational number and an irrational number is irrational?
Always true
Sometimes true
Never true
Answers
[tex]========================================[/tex]
is the product of an irrational number and an irrational number always irrational?
We can easily check that by just multiplying some irrational numbers on our calculator.
Let's take
[tex]\pmb{\sqrt{2} }[/tex] times [tex]\pmb{\sqrt{5} }[/tex]
Multiply:-
The result is an irrational number.
Let's try to multiply π times itself.
Once again, we have an [tex]\pmb{irrational}[/tex] number.
Hence, the answer is:-
[tex]\pmb{Always~True}[/tex]
[tex]=========================================[/tex]
note:-Hope everything is clear; if you need any more explanation, kindly let me know.Label each point on the number line with the correct value.
Click each dot on the image to select an answer. Choices:
Answers
Answer:
dot A is 0.62 dot B is 7/9 and dot C is 10/9
Step-by-step explanation:
I Need help 75pts thanks in advance!
Answers
Answer:
m∠1 = 50° m∠2 = 130°m∠3 = 50°m∠4 = 130°Explanation:
⇒ m∠2 = 130°
Then,
⇒ m∠4 = 130° ( vertically opposite angles )
Here m∠1 = m∠3m∠1 + m∠2 + m∠3 + m∠4 = 360°
2(m∠1) = 360° - 130° * 2
⇒ m∠1 = 50°
⇒ m∠3 = 50°
Answer:
m∠1 = 50°
m∠3 = 50°
m∠4 = 130°
Step-by-step explanation:
Vertical Angle Theorem: When two straight lines intersect, the opposite vertical angles formed are always equal (congruent) to each other.
⇒ m∠1 = m∠3 and m∠2 = m∠4 = 130°
Linear pair: Two adjacent angles which sum to 180°.
⇒ m∠1 + m∠2 = 180°
⇒ m∠3 + m∠4 = 180°
⇒ m∠1 + m∠130° = 180°
⇒ m∠1 = 50°
As m∠1 = m∠3 then m∠3 = 50° also
please answer! i need it as its important thank you.
Answers
9y-1/2(4y+20)
1.) Distribute the -1/2 into (4y+20).
9y-2y-10
2.) Combine like terms.
7y-10
3.) Final solution!
7y-10
For the second problem, the answer(s) are solutions A & B.
Solution C cannot be correct because the it does not follow linear algebraic rules (PEMDAS). Solution D is also incorrect because the subtraction sign and division sign change, which does not follow any linear algebraic rules (PEMDAS).
Find the mean of the data.
55,64,58,43,49,67 Please!!
Answers
Pl help me on this WORTH A LOT OF POINTS!!!!
What is the total area of the patio, walkway, and garden?
Answers
Answer:
82 ft²
Step-by-step explanation:
Area of the patio:
5 x 9 =45
Area of the walkway:
2 x 8 =16
Area of the garden:
3 x 7 =21
Total:
45+16+21 = 82
can someone pls help me with this. WILL MARK BRAINLIEST
Answers
Answer:
The answer is D :)
Step-by-step explanation:
I think this because when you multiply the unit value of PR, 4, by 3 it equals 12, which is TVs, value. If you do the same to QP's unit value, 3, by 3 again, you will get UT's unit value, 9.
Have an amazing day!!
Please rate an dmark brainliest!!
Simplify Sinx + cosx/ cos²x - sin²x
Answers
[tex]\dfrac{\sin x + \cos x}{\cos^2 x - \sin^2 x}\\ \\\\=\dfrac{\sin x + \cos x}{(\cos x + \sin x )\\\\(\cos x - \sin x)}\\\\\\=\dfrac{1}{\cos x - \sin x}[/tex]
Vani has a collection of vintage action figures that is worth $140. If the collection
appreciates at a rate of 15% per year, which equation represents the value of the
collection after 2 years?
OV = 140(0.85)
Submit Answer
O V = 140(0.15)
V = 140(1 - 0.15)2
V = 140(1 + 0.15)?
Answers
The equation represents the value of the collection after 2 years is V = 140(1 + 0.15)^2.
What equation represents the value of the collection?
When the value of an asset appreciates,it means that the price of the item increases with the passage of time.
The formula for calculating future value with appreciation is:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of yearsV = 140(1 + 0.15)^2.
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Answer:
Step-by-step explanation:
V=140(1+0.15)
2
if josh gives 13 fried fish and molly eats 10 how many left are there
Answers
Answer:
13-10=3 hence, the Q of ans is 3
Molly ate 10 FISH
13 - 10 = 3
So there are 3 left
A nature center offers 2 guided walk. The morning walks is 2/3 miles . the evening walk is 3/6 miles. Which walk is shorter. Explain how you can use the model to find the answer
Answers
Answer:
The evening walk is shorter.
Step-by-step explanation:
There are two ways you could solve this:
Fractions:
2/3 = 4/6 4/6>3/6
Converting into Decimals:
2/3=0.67
3/6=0.5
2/3>3/6
I hope this helps.
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 8. If there were 6600 no votes, what was the total number of votes?
Answers
Answer:
The total number of voters = 10725
Step-by-step explanation:
The total number of votes cast was 5 + 8
The no votes ratio is 8/ 13
This question is a a proportion question.
A proportion question is 2 ratios equal to other. Three of the parts of the ratios are known and you are asked to find the fourth. In this question the no votes are known to be 8 and the total is 13.
The total no votes = 6600. So the three parts are known are
no vote ratio = 8No vote number =6600total vote ratio part = 13You are asked to find the total number of voters.8/13 = 6600/x Cross multiply
8x = 13*6600 Combine the right.
8x = 85800 Divide by 8
8x/8 = 85800/8
x = 10725
The total number of voters = 10725
Find the value of each variable in the parallelogram.
Answers
Answer:
x = 9 and y = 15
Step-by-step explanation:
this is the answer because each side is equivalent to the parallel line so y would be whatever is across from it
Answer:
y=15
x=9
Step-by-step explanation:
they are parallel and equal to the opposite sides
What is Barbara's net worth if her assets total $19000, her gross income is $60000, her student loan debt is $28000 (she has no other debts), and her annual expenses (including taxes) total $46000?
Answers
Answer:
calculator
Step-by-step explanation:
The diagram shows a plan for a deck. The area of the deck is 511 ft squared what is the value of x? Show your work
Please helpp
Answers
Just have a good day
The dimension of the unknown variable x of the deck is equal to 14 feet in length.
What is a Rectangle?A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°).The opposite sides of a rectangle are equal and parallel.
Given in the question is a diagram showing a plan for deck. From the data given, we can write -
Area of Deck = 511 ft.
The value of x can be found out by subtracting the area of the deck from the area of rectangle having dimensions of length 29 ft and width (16 + 4) = 20 ft. The remaining area will be equated to the sum of the area of rectangle at top right corner having dimensions of length 9 ft and width 4 ft and the area of triangle at lower right corner.
Firstly, we will find the dimensions of the triangle at the lower right. The height of the triangle will be = (20 - 9) ft = 11 ft. The base of the triangle will be = 29 - ( x + 9) ft = (20 - x) ft. Now -
[Area of Rectangle (29 x 20)] - [Area of Deck] = [Area of Rectangle (9 x 4) + Area of triangle (lower right)].
Mathematically -
580 - 511 = 9 x 4 + 1/2 × (20 - x) × 11 = 69
36 + 5.5(20 - x) = 69
36 + 110 - 5.5x = 69
146 - 69 = 5.5x
5.5x = 77
x = 14 ft
Therefore, the dimension of the unknown variable x of the deck is equal to 14 feet.
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Trigonometric equations
5sinx = 3sinx + square root of 2
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]
Let's solve for x ~
[tex]\qquad \sf \dashrightarrow \:5 \sin(x) = 3 \sin(x) + \sqrt{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:5 \sin(x) - 3 \sin(x) = \sqrt{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:2 \sin(x) = \sqrt{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sin(x) = \sqrt{2} \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \: \sin(x) = \frac{1}{ \sqrt{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 45 \degree \: \: or \: \: \frac{\pi}{4} \: rad[/tex]
・ ．━━━━━━━†━━━━━━━━━．・
consider the equation 2 x +9 y = -18 A line parallel to the above line would have a slope of_________
A line perpendicular to the above line would have a slope of ________________
Answers
A line parallel to the above line would have a slope of -2/9
A line perpendicular to the above line would have a slope of 9/2
Step-by-step explanation:
2x+9y=-18
=>y=-2/9 x-2
Help help math math help
Answers
Answer:
The answer to this equation is 2
Step-by-step explanation:
x-2 = 3(2-x) \4
x-2= 6 -3x/4
cross multiply
4(x-2)= 6-3x
4x-8 = 6-3
collect like terms
4x+3x = 6+8
7x = 14
divide both sides by 7
7x/7= 14/7
x = 2
hey guy can you please explain this to me
Answers
Answer:
D) 2
Step-by-step explanation:
it think it's D because the size of the triangle was doubled
2 was matched to 4 and
1 was matched to 2
if julie make 18 baskets how many baskets does kari make how many baskets do they make in all
Answers
Answer:
18x
Step-by-step explanation:
j=18
k=x
18xor18
I do not understand this question
kit is going to build a 3 feet walk around a pool that measures 20 feet by 15 feet find the area of the walk in square feet
Answers
Answer:
246 sqft
Step-by-step explanation:
To find the area of the outer rectangle, add 2(3) to 15 and 20. 15 turns into 21 and 20 turns to 26. Next, do 21 x 26 to find the whole area (which is 546). The area of the inner rectangle is 20 x 15 (which is 300). Finally, do 546 - 300 which is 246.
Answer:
I think it maybe 134.2
because when u like try to to multiply and sy
When using estimates to make decisions,
A. It is important to always use a 95% confidence level
B. It is important to remember that you will never achieve certainty
C. It is important to calculate those estimates to at least six decimal places
D. It is important to use a 100% confidence level so as to achieve certainty
E. All of the above
F. None of the above
Answers
Answer:
C.
Explanation: I hope it's help you
The use of estimates to make the decisions It is important to calculate those estimates to at least six decimal places.
We have given the options that are
A. It is important to always use a 95% confidence level
B. It is important to remember that you will never achieve certainty
C. It is important to calculate those estimates to at least six decimal places.
D. It is important to use a 100% confidence level so as to achieve certainty.
E. All of the above
F. None of the above
We have to determine the correct decision.
What are the estimating values?
Any of numerous procedures used to calculate the value of some property of a population from observations of a sample drawn.
That is we are estimating the value up to 6 decimal places
Therefore option C is correct.
It is important to calculate those estimates to at least six decimal places.
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