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We know (or should know) the sine and cosine values of each of these.
sin (x+y) = sin x cos y + cos x sin y
Here,
sin (165) = sin 120 cos 45 + cos 120 sin 45, or
sin (165) = sqrt(3)/2 * 1/sqrt(2) + 1/2 * 1/sqrt(2)
Finish this work; it will give you the correct answer.
Related Questions
Mia's cat weighs 13 pounds ,7 ounces .about what is that weight in kilograms ?
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The process of arriving at an approximate answer to a computation such as 0.79 times 403 is called
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In estimation, we will do a rough calculation of value, quantity, or number.
In most cases, estimation is used if the detail of smaller value is not really mattered that much. In decimal calculation, the most important number is the first number behind the point
So when calculating 0.79 times 403 , most people will make a rough calculation by changing 0.79 to 0.8 instead because the difference wouldn't be matter that much
The ratio of clownfish to angelfish at a pet store is 5:4 the ratio of angelfish to goldfish is 4:3 there are 60 clownfish at the pet store .
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5:4 = 60:?
To find ? you have to do 60 divided by 5 which equals 12 and multiply it times 4 to see how many angelfish there will be if there are 60 clownfish.
12 x 4 = 48
So if there are 60 clownfish there will be 48 angelfish. The ratio is 60:48
For the next one, same thing if there are 48 angelfish, then you are looking at this equation:
4:3 = 48:?
Again, we solve like we did the last one.
48 divided by 4= 12
3 x 12= 36
So, if there are 48 angelfish there will be 36 goldfish. The ratio is 48:36
I hope this helps:)
The number of angelfish and goldfish are required.
The number of angelfish is 48 and goldfish is 36.
The ratio of clownfish to angelfish is
[tex]\dfrac{c}{a}=\dfrac{5}{4}[/tex]
Ratio of angelfish to goldfish is
[tex]\dfrac{a}{g}=\dfrac{4}{3}[/tex]
Number of clownfish is [tex]c=60[/tex]
From the given ratios
[tex]\dfrac{60}{a}=\dfrac{5}{4}\\\Rightarrow a=\dfrac{60\times 4}{5}\\\Rightarrow a=48[/tex]
[tex]\dfrac{48}{g}=\dfrac{4}{3}\\\Rightarrow g=\dfrac{48\times 3}{4}\\\Rightarrow g=36[/tex]
The number of angelfish is 48 and goldfish is 36.
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Convert the fraction to a decimal. Round to the nearest thousandths.135/650 Question 3 options: .2 .20 .2076923077 .208
Answers
135÷650=
About .208
sandra plans to excersise the same number of minutes m each of the remaning three days this week in order for sandra to excersise for exactly 150 minutes this week what is the
value of m
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9,540,00 in expanded for in exponents
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9x10 ^6
+5x10^5
+4x10^4
+0x10^3
+0x10^2
+0x10^1
+0x10^0
what is the positive solution to the equation 0=1/3x^2-3
Answers
You can use the simplified equation to find the solution.
The positive solution of given equation is x = 3
What is a positive solution of given equation?
When we find the solution of the equation, we find the values of the variables for which the given equation is correct. Sometimes the values of the solutions comes out negative and sometimes positive and sometimes both or can be 0 too.
To find positive solutions, we only consider those solutions which are positive.
Simplification of the given equation[tex]0 = \dfrac{1}{3}x^2 - 3\\ \\ \text{Adding 3 on both sides}\\ \\ 3 = \dfrac{1}{3}x^2\\ \\ \text{Multiplying 3 on both sides}\\\\ 9 = x^2\\ \\\\ \text{taking square root}\\ 3 = \pm x\\ x = \mp 3 \\ (x = 3), (x = -3)[/tex]
Thus, x = 3, and x = -3 are the solutions to given equation.
The positive solution to the given equation is x = 3.
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The pine tree in George's front yard is 8.83 meters tall. What is that number rounded to the nearest tenth?
Answers
Need help. I been stuck at these problems
Answers
3/16<6/31
7/11<9/13
Hope this helps!
8+3(16-12) I got 16 but I want to make sure I'm correct
Answers
8 + 3(4)
8 + 12
20 is your answer
hope this helps
Between what 2 integers does √89 fall?
Question 5 options:
9 and 10
10 and 11
11 and 12
12 and 13
Answers
Hope this helps!! :)
what is the least common multiple of 8 and 32
Answers
A googol is a large number that is the digit one followed by one hundred zeros. If you multiply a googol by 100, how many zeros will that product have? Please help the best answer I will mark as brainliest!
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2(1/2q+1)=-3(2q-1)+4(2q+1)
Answers
1q+2=2q+7
-2q -2q
-q+2=7
-2 -2
-q=5
-1 -1
q=-5
The expression 9x^2 -5x -7 has ___ terms and a constant of ___.
A. 3, -7
B. 5, -7
C. 3, 7
D. -5, 7
Answers
A is the answer
PLEASE HELP I WILL GIVE POINTS
Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 45 + 72?
3(15 + 24)
9(5 + 8)
(5)(9) + (2)(36)
(3)(15) + (8)(9)
Answers
(9 * 5) + (9 * 8) = 9(5 + 8)
Class Size
Freshman 2200
Sophomore 1800
Junior 1400
Senior 1100
Heidi is doing a study for her statistics class, and she needs to obtain a random sample of students from a local college. [The enrollment at the college is summarized in the table shown.]
Choose the BEST way to obtain a sample of size 50.
A) Select 50 students from a new student orientation session.
B) Select 50 students from participants in a career day presentation.
C) Select 50 students from the stadium homestands during a football game.
D) Select only seniors because they have been attending the school longer.
which is the answer
Answers
Here are two shapes with the same area. Work out the perimiter of the rectangle.
Answers
Find the GCF of 8xy and 32xyz
Answers
A rectangular building lot is three times as long as it is wide. Find a function that models its area A in terms of its width W
Answers
The function that models the rectangular building area A in terms of its width W is [tex]A = 3w^{2}[/tex]
From the question, a rectangular building lot is three times as long as it is wide.
Let the width be [tex]w[/tex] and the length be [tex]l[/tex]
Then we can write from the above statement that
[tex]l = 3w[/tex] ------ (1)
Now, for a function that models its area A in terms of its width w, that means we should write an equation for the area in terms of its width only.
From the formula for area of a rectangle,
Area = length × width
∴ [tex]A = l \times w[/tex]
From equation (1), we have that [tex]l = 3w[/tex]
Substitute this into the area formula,
[tex]A = l \times w[/tex]
We get
[tex]A = 3w \times w[/tex]
Then,
[tex]A = 3w^{2}[/tex]
Hence, the function that models the rectangular building area A in terms of its width W is [tex]A = 3w^{2}[/tex]
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A football is selling for 35% off the original price. The original price was $60.What is the sale price of the football
Answers
So you subtract 21 from 60.
60 - 21 = 39
The football is being sold for $39.
Hope this helps!
Evaluate the expression 3x + 4y/2 for x = 1.5 and y = 2.5 .
A. 2
B. 4.25
C. 6.25
D. 7.25
Answers
write down the question and take a pic and upload
it's not comprehensive enough like this
i do not get number 8... can someone help me?
Answers
It's finding the slope between two points (depth, pressure).
rate = (pressure 2 - pressure 1)/(depth 2 - depth 1)
rate = (44.4 - 29.55)/(66 - 33) = 14.85/33 = 0.45
The rate is 0.45 psi/ft.
Set up and solve a system of equations to solve the problem.
Casey wants to buy a gym membership. one gym has a $150 joining fee and costs $35 per month. Another gym has no joining fee and costs $60 per month. When would Casey pay the same amount to be a member of either gym? How much would he pay?
Answers
Answer:6 months 360
Ft: 150+35t=60 t
G(t): 60t
Step-by-step explanation:
In how many ways can jasmine draw a blue or yellow marble from the jar containing 28 blue marbles and 7 yellow marbles
35
21
7
4
Answers
Answer: In 35 ways Jasmine can draw a blue or yellow marble from the jar
Step-by-step explanation:
Total marbles in the jar=number of blue marbles+number of yellow marbles=28+7=35.
The number of ways of drawing a blue or yellow marbles is given by
[tex]P^n_r=\frac{n!}{(n-r)!}[/tex]
Here n=35 and r=1
Therefore, [tex]P^{35}_1=\frac{35!}{(35-1)!}=\frac{35!}{34!}=\frac{35\times34!}{34!}=35[/tex]
Thus in 35 ways Jasmine can draw a blue or yellow marble from the jar.
List the hierarchy of organization in a snowy owl.
Answers
The hierarchy of biological organization in a snowy owl involves various nested levels from the most inclusive, the biosphere, to the least complex, atoms. Each level, from biomes to molecules, represents a stage of increasingly specific categorization.
Hierarchy of Biological Organization in a Snowy Owl
The hierarchy of biological organization describes the levels of biological world organization from the most inclusive to the least complex levels. When considering a snowy owl or any other organism, this involves the following hierarchy:
Biosphere - The global ecological system integrating all living beings and their relationships.
Biome - A large community of plants and animals that occupies a distinct region such as tundra where snowy owls may be found.
Ecosystem - The community of living organisms in conjunction with the nonliving components of their environment interacting as a system.
Community - An assembly of different species within a defined area.
Population - A group of individuals of the same species that live in the same area.
Organism - An individual living entity such as a single snowy owl.
Organ Systems - A group of organs that work together to accomplish specific functions.
Organs - Composed of tissues that perform a specific function or group of functions.
Tissues - An ensemble of similar cells from the same origin that carry out a specific function.
Cells - The smallest unit of life.
Organelles - A subunit within a cell that has a specialized function.
Molecules - A group of atoms bonded together, representing the smallest fundamental unit of a chemical compound that can take part in a chemical reaction.
Atoms - The smallest unit of a chemical element.
The snowy owl, as an organism, falls into this hierarchy at the organism level, but is also part of each of these nested levels up to the biosphere.
What is a high school Academic Decathlon?
Answers
The High School Academic Decathlon is a competition involving ten academic events where students compete individually and as a team in subjects like mathematics, science, and social science. The competition promotes teamwork, public speaking, and scholastic excellence. Teams are categorized based on GPA, and all participants take part in each event.
The High School Academic Decathlon is a rigorous academic competition where students compete in a series of ten events covering various subjects. These events include mathematics, science, economics, social science, literature, art, music, and speech. The competition is designed to encourage scholastic excellence, public speaking, and teamwork.
Teams are usually composed of nine students, divided into three categories based on their GPA: Honors, Scholastic, and Varsity. Each student participates in all ten areas of the competition, contributing to both individual and team scores.
Participating in the Academic Decathlon not only boosts students' academic achievements but also helps them develop important skills such as time management, critical thinking, and public speaking. For example, a student who is teased by her basketball team for her academic award is navigating the balance between athletic and academic achievements, showcasing the multifaceted nature of high school life.
Select the expressions that are equivalent to 5(w+5)
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denna is four more than three times older than ted. the sum of their ages is 60. how old is ted?
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wade purchased 3 videos and one music CD, the CD cost wade $12.99 if he paid the same amount of each video and spent a total of $42.96,how much did each video cost?
Answers
Final answer:
To find the cost of each video, subtract the cost of the CD from the total amount spent, and then divide by the number of videos. Each video cost Wade $9.99.
Explanation:
The student's question involves a basic algebra problem where Wade purchased 3 videos and one music CD. The cost of the music CD was $12.99, and the total spent was $42.96. We need to determine how much each video cost.
Firstly, subtract the cost of the music CD from the total spent to find the total cost of the videos:
$42.96 - $12.99 = $29.97.
This means the total cost for the 3 videos is $29.97. Since Wade paid the same amount for each video, we divide the total cost of the videos by the number of videos:
$29.97 ÷ 3 videos = $9.99 per video.
Therefore, each video cost Wade $9.99.