Compute The Sine And Cosine Of 330∘ By Using The Reference Angle. A.) What Is The Reference Angle? Degrees. B.)In What Quadrant Is This Angle? (Answer 1, 2, 3, Or 4) C.) Sin(330∘)= D.) Cos(330∘)= *(Type Sqrt(2) For √2 And Sqrt(3) For √3 ** Please Show All Your Work
Compute the sine and cosine of 330∘ by using the reference angle.
a.) What is the reference angle? degrees.
b.)In what quadrant is this angle? (answer 1, 2, 3, or 4)
c.) sin(330∘)=
d.) cos(330∘)=
*(Type sqrt(2) for √2 and sqrt(3) for √3
** Please show all your work
Answers
a.) To find the reference angle for 330°, we can subtract it from 360° (since it's in the fourth quadrant): 360° - 330° = 30°
b.) 330° is in the fourth quadrant since it is between 270° and 360°.
c.) sin(330°) can be found by using the reference angle and recognizing that sine is negative in the fourth quadrant:
sin(330°) = -sin(30°) = -1/2
d.) cos(330°) can also be found using the reference angle and knowing that cosine is positive in the fourth quadrant:
cos(330°) = cos(30°) = sqrt(3)/2
a) The reference angle is the acute angle formed between the terminal side of the angle and the x-axis. To find the reference angle of 330∘, we subtract it from 360∘ (a full revolution) to get: 360∘ - 330∘ = 30∘. Therefore, the reference angle is 30∘.
b) To determine the quadrant of 330∘, we need to look at the sign of both the sine and cosine functions in that quadrant. Since the cosine function is negative in the second and third quadrants, and the sine function is negative in the third and fourth quadrants, we know that 330∘ is in the fourth quadrant (quadrant 4).
c) To find the sine of 330∘, we use the fact that the sine function is negative in the fourth quadrant. Since the reference angle is 30∘, we know that sin(330∘) = -sin(30∘). The sine of 30∘ is 1/2, so we have sin(330∘) = -1/2.
d) To find the cosine of 330∘, we use the fact that the cosine function is positive in the fourth quadrant. Since the reference angle is 30∘, we know that cos(330∘) = cos(30∘). The cosine of 30∘ is sqrt(3)/2, so we have cos(330∘) = sqrt(3)/2.
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Related Questions
Find the length of MP¯¯
Answers
Answer:
length is 45cm
No quetion
A=
f forr
2
=
o
Need help with that plz help me
Answers
Answer:
r = 2a + k
Step-by-step explanation:
Hope this helps :D
A sandwich store charges $20 to have 3 subs delivered and $26 to have 4 subs delivered. If the total charge is $56, how many subs are in the order?
Answers
The number of subs in the order is 8 or 9
how many subs are in the order?Let's call the number of subs in the order "x".
Since the cost of 3 subs is $20, the cost per sub is $20 / 3 = $6.67.
And since the cost of 4 subs is $26, the cost per sub is $26 / 4 = $6.50.
So the cost per sub is between $6.50 and $6.67.
If the total cost is $56, then the cost per sub must be $56 / x.
So:
x = 56/6.5 or x = 56/6.67
Evalutate
x = 8.6 or x = 8.4
Approximate
x = 9 or 8
Hence, the subs is 8 to 9
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A loan worth $1000 collects simple interest each year for 6 years. At the end of
that time, $270 of interest has accrued. What was the annual interest rate for
this loan?
a. 4.25%
b. 5.75%
c. 5.5%
d. 4.5%
Answers
Answer:
B
Step-by-step explanation:
Use a calculator and do it step by step.
For a line with the equation y=2/3x−4, the slope is:
A 2
B 2/3 thirds
C 3
D -4
Answers
Answer:
The answer is B. 2/3 because y=mx+b mx us always the slope and b is the y intercept
PLEASE CAN ANYBODY HELP
Answers
Answer:
it should be 2.9 .
Step-by-step explanation:
1. A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process. True or False
2. Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory. True or False
Answers
1. The given statement "A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process" is True
2. The given statement "Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory" is True
1) Negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process.
Noise refers to any external or internal element that disrupts communication. Communication is the exchange of messages between two or more people, so noise in communication refers to anything that interferes with the exchange of messages.
2)Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory.
Herzberg's two-factor theory, also known as the motivation-hygiene theory, identifies the two types of factors that affect job satisfaction:
hygiene factors and motivating factors.
Employee motivation and pay satisfaction are examples of motivating factors that contribute to job satisfaction.
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1 - 3x = -5
How do you solve it step by step
Answers
Answer:
x = 2
Step-by-step explanation:
1 - 3x = -5
Subtract 1 from each side
1-3x-1 = -5-1
-3x = -6
Divide each side by -3
-3x/-3 = -6/-3
x = 2
of the 26 customers who entered a local diner, 20 order coffee, 8 order pie, 7 order coffee and pie, and 5 did not order anything. let a be the event that a randomly selected customer orders coffee and b be the event that a randomly selected customer orders pie. what is p(a or b)?
Answers
The probability of that customer who order pie or coffee is 0.8
Define Probability
Probability is the likelihood that something will occur.When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.Statistics is the study of events that follow a probability distribution.
Given,
Total number of customers = 26
out of 26 customers,
20 - order coffee
8 - order pie
7 - order pie and coffee
5 - did not order anything
Let, a = be the event that a randomly selected customer orders coffee
b = be the event that a randomly selected customer orders pie
Probability who order coffee is P(a) = 20 / 26
Probability who order pie is P(b) = 8 / 26
Probability who order both coffee and pie is P(a and b) = 7 / 26
Now, find the probability who order coffee or pie
We have the formula to find,
P(a or b) = P(a) + P(b) - P(a∪b)
Plug in the values in given formula,
P(a or b) = 20 / 26 + 8 / 26 - 7 / 26
P(a or b) = (20 + 8 - 7) / 26
P(a or b) = 21 / 26
P(a or b) = 0.8
Hence, the probability of that customer who order pie or coffee is 0.8
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Evaluate the expression 7a² - 3b³ when a) a= 4, b= -2 b) a= -8, b=5
You will end up with 2 answers here, substitute and solve.
Answers
Answer
Step-by-step explanation:
7a²-3b²
Replace a=4, b=2
7*4²-3*2²
= 112-12
= 100 first answer
7a²-3b²
Replace a=8, b=5
7*8²-3*5²
448-75
= 373 second answer
let be a trapezoid with parallel to and perpendicular to . let be a point on such that . if , and , what is the value of ?
Let ABCD be a trapezoid with BCǀǀAD and AB=BC=CD= ½ AD. What is ACD?
Answers
The value of ACD of a trapezium is 26.56°.
Let ABCD be a trapezoid with BCǀǀAD and AB=BC=CD= ½ AD.
ACD can be determined by using the Pythagorean theorem or using the theorem of Pythagoras.
The theorem of Pythagoras states that if you draw a right-angled triangle with the hypotenuse as c and the legs a and b.
The sum of squares of the legs (a and b) equals the square of the hypotenuse (c).
Therefore, by using the Pythagorean theorem ; AC² = AB² + BC²
=> AC² = (1/2 AD)² + (1/2 AD)²
=> AC² = 1/4 AD² + 1/4 AD²
=> AC² = 1/2 AD².
Hence,AC² = 1/2 AD²
ACD is a right-angled triangle where AC is the hypotenuse.
Thus, using the theorem of Pythagoras, we can write: AD² = AC² + CD²
=> AD² = [√(1/2 AD²)]² + (AD/2)²
=> AD² = 1/2 AD² + 1/4 AD²
=> AD² = 3/4 AD²=> AD = √4/3 AD
Thus, ACD=ACD = tan¯¹(√1/2 AD²/AD/2) = tan¯¹(√2/4) = 26.56°
Therefore, ACD is 26.56°.
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a bin contains 4 items: 1 a, 1 b, 2 c and 6 d. a person randomly selects 3. how many different types of items will be selected
Answers
Using combinations, we know that 4 different types of items will be selected.
What are combinations?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.
We can choose the components of combos in any order.
Permutations and combinations can be mixed up.
Combination formula: \(n C r=\frac{n !}{(n-r) ! r !}\)
So, this formula, commonly known as the NCR formula, determines the number of combinations that may be made with r items out of the n available options.
We, therefore, have 4 objects, and a person chooses 3 at random.
\(\begin{aligned}& n C r=(n, r)=(4,3) \\& =\frac{4 !}{3 !(4-3) !} \\& =4 ! / 3 ! \\& =4\end{aligned}\)
Therefore, using combinations, we know that 4 different types of items will be selected.
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M 1
The box plot represents the distribution of speeds, in miles per hour, of 100 cars as they passed
through a busy intersection.
4
8 12 16 20 24 28 32 36 40 44 48
speed of cars (miles per hour)
1. What is the smallest value in the data set? Interpret this value in the situation.
2. What is the largest value in the data set? Interpret this value in the situation.
3. What is the median? Interpret this value in the situation.
4. What is the first quartile (Q1)? Interpret this value in the situation.
5. What is the third quartile (Q3)? Interpret this value in the situation.
Answers
1. This means that at least one car had a speed of 4 miles per hour, which is the slowest speed observed among the 100 cars.
2. This means that at least one car had a speed of 48 miles per hour, which is the fastest speed observed among the 100 cars.
3. In the situation of cars passing through a busy intersection, this means that half of the cars had a speed of 26 miles per hour or less.
4. In the situation of cars passing through a busy intersection, this means that 25% of the cars had a speed of 12 miles per hour or less.
5. In the situation of cars passing through a busy intersection, this means that 25% of the cars had a speed of 36 miles per hour or higher.
The smallest value in the data set is 4 miles per hour. In the situation of cars passing through a busy intersection, this means that at least one car had a speed of 4 miles per hour, which is the slowest speed observed among the 100 cars.
The largest value in the data set is 48 miles per hour. In the situation of cars passing through a busy intersection, this means that at least one car had a speed of 48 miles per hour, which is the fastest speed observed among the 100 cars.
The median is the middle value in the data set when arranged in ascending order. In this case, since we have 100 data points, the median would be the average of the 50th and 51st values. Looking at the given data, the median would be the average of 24 and 28, which is 26 miles per hour. In the situation of cars passing through a busy intersection, this means that half of the cars had a speed of 26 miles per hour or less.
The first quartile (Q1) represents the lower 25% of the data. To find Q1, we look for the value that separates the lowest 25% of the data. In this case, the first quartile is 12 miles per hour. In the situation of cars passing through a busy intersection, this means that 25% of the cars had a speed of 12 miles per hour or less.
The third quartile (Q3) represents the upper 25% of the data. To find Q3, we look for the value that separates the highest 25% of the data. In this case, the third quartile is 36 miles per hour. In the situation of cars passing through a busy intersection, this means that 25% of the cars had a speed of 36 miles per hour or higher.
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Calcular la altura, h de un arbol sabiendo que, si nos situamos 8 metros de la base del tronco, vemos la parte superior de su copa en un angulo de 36.87*
Answers
Utilizando trigonometría, veremos que la altura del arbol es 6m.
¿Como obtener la altura del arbol?
Podemos visualizar la situación como un triangulo rectangulo.
La altura del arbol será el cateto opuesto al angulo de 36.87°.
La distancia a la base del tronco, que es 8 metros, será el cateto adjacente a dicho angulo.
Entonces, podemos usar la relacion:
tan(θ) = (cateto opuesto)/(cateto adjacente).
Reemplazando lo que conocemos, y definiendo:
altura = cateto opuesto = H.
tendremos:
tan(36.87°) = H/8m
Resolviendo para H:
H = tan(36.87°)*8m = 6m
Así, concluimos que la altura del arbol es 6m.
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Can someone plz help me :D
Answers
Answer:
A = 3/7
B= 1 1/7
Step-by-step explanation:
(x - 3 ) ( 6x -2)
help plz
Answers
6x² - 20x + 6
Step-by-step explanation:
\(\begin{aligned}\tt\left(x-3\right)\left(6x-2\right)&=\tt 6x^2-2x-18x+6\\&=\tt 6x^2 -20x+6\end{aligned}\)
Answer:
6x^2 - 20x + 6
Step-by-step explanation:
(x - 3) (6x - 2)
6x^2 - 18x - 2x + 6
6x^2 - 20x + 6
Evaluate the expression for u = 3, V = 4, and w = 17.
uv2 - W
Answers
Answer:
(3*4*2)-17 = 7
Step-by-step explanation:
u=3 v=4 w=17 just put the number into the formula that you given
3*4*2-w
uv2-w
Variables will always multiply if they’re touching unless they have a sign like the minus between the two in the W
35 gallon to fl oz plz answer.
Answers
Answer: 4480 fluid ounces
Step-by-step explanation:
To solve the question, we should note that:
1 gallon = 128 fluid ounces
Therefore, 35 gallons converted to fluid ounces will be:
= 35 × 128 fluid ounces
= 4480 fluid ounces
Write an equation to find the area of each figure.Then determine the area.Use 3 for pi.
Answers
48 calculated on my calculator and i worked it out irl your welcome
In 1912, the U.S. government began issuing licenses to radio stations. Each station was given a unique three-letter call sign. Radio stations in the western United States were given call signs starting with K. Stations in the east were given call signs starting with W. For example, the radio station with the call sign ABC is KABC in California, and WABC in Georgia.
a. How many different three-letter call signs are there?
Hint: don’t worry about the K or W – just find the number of ways to arrange any 3 letters
b. How many different three-letter call signs are there where the first letter is a D?
Hint: again, the K and W don’t matter
c. In a random selection of radio station call signs, what is the probability of selecting a radio station with a call sign that starts with the letter D?
Answers
Answer:
A would make sense
Step-by-step explanation:
help for this question fr
Answers
Answer:
(x + 16)° = 141°
Step-by-step explanation:
Given figure is of octagonSum of interior angles of an octagon is 1080°-> 5x° + 455° = 1080°-> 5x° = 1080° - 455°->5x° = 625°-> x° = 625°/5x° = 125°x = 125-> (x + 16)° = (125 + 16)° -> (x + 16)° = 141°Claire McCullough got her water and sewer bill from Dynamo Water & Wastewater Company which showed the following uses of water and sewer: water usage = 42 HCF; sewer usage = 31 HCF. Given the information below, what was the Claire's total monthly water and sewer bill? Dynamo Water & Wastewater Company has the following bi-monthly (every two months) rates for water and sewer usage: Water: Water Base Fee: $39.51 Water Usage (at or below 30 HCF): $3.76 per HCF Water Usage (above 30 HCF): $4.95 per HCF Sewer: Sewer Base Fee: $31.87 Sewer Usage Fee: $3.88 per HCF of water use Storm Drain Fee: $6.79
Answers
Answer:
Step-by-step explanation:
C
What is the purpose of testing whether
β1 = 0?
The purpose of testing whether β1 = 0 is to determine whether or not the mean of the x values is equal to the mean of the y values.The purpose of testing whether β1 = 0 is to determine whether or not there is a cause-and-effect relationship between x and y. The purpose of testing whether β1 = 0 is to determine whether or not the regression line provides a good fit for the data.The purpose of testing whether β1 = 0 is to determine whether or not there is a significant relationship between xand y.
If we reject
β1 = 0,
does it imply a good fit?
Rejecting β1 = 0 does not necessarily imply a good fit. For example, if β1 = 0 is rejected and r2 is high, there is a statistically significant relationship between x and y but the fit is not very good.Rejecting β1 = 0 always implies a good fit. If β1 = 0 is rejected, there is a statistically significant relationship between x and y which always implies a good fit. Rejecting β1 = 0 does not necessarily imply a good fit. For example, if β1 = 0 is rejected and r2 is low, there is a statistically significant relationship between x and y but the fit is not very good.Rejecting β1 = 0 never implies a good fit. If β1 = 0 is rejected, there is not a statistically significant relationship between x and y which never implies a good fit.
Answers
The purpose of testing whether β1 = 0 is to determine whether or not there is a significant relationship between x and y. Rejecting β1 = 0 does not necessarily imply a good fit, as a high r2 may indicate a statistically significant relationship but a poor fit, while a low r2 may indicate a significant relationship but also a poor fit. It is important to analyze both the significance and fit of the regression line.
The purpose of testing whether β1 = 0 is to determine whether or not there is a significant relationship between x and y. If β1 = 0, it suggests that there is no cause-and-effect relationship between the variables x and y. Rejecting β1 = 0 indicates that there is a statistically significant relationship between x and y. However, this does not necessarily imply a good fit. For example, if β1 = 0 is rejected and r2 is low, there is a statistically significant relationship between x and y, but the fit is not very good.
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Liv earns $9.50 for every two bracelets she sells. the equation y = 4 . 75 x can be used to represent this situation. what is the constant of proportionality?
Answers
The Constant of proportionality represented in equation is 4.75
The Constant of Proportionality defines the value which will remain constant in the whole system of equations. In the given equation, Liv earns $9.50 for selling every two bracelets. The equation represents the sale of Liv on the basis of its price and quantity and the Total amount that she gets. The equation is represented as y = 4.75x
Here, y is the total amount she gets, x is the number of pieces that she sold, and 4.75 is the constant of proportionality. In this case, the constant can be defined as the price of one bracelet that she sells.
This constant can be derived by simply dividing the total amount by the total number of pieces that she sells. It can be represented by :
=> y/x = c , where c is the constant
=> 9.5/2 = c => c = 4.75
Hence, the Constant of Proportionality is 4.75.
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U.S. Population can be modeled by the function f(x)=165.6x^1.345, where f(x) is in thousand and x is the number of year after 1800. What is f(50) and what does it mean?
Answers
Answer:
f(50) = 31928.24 thousands
Therefore, it means that the US population in year 1850 is 31928.24 thousands
Step-by-step explanation:
Given the function;
f(x)=165.6x^1.345
Where;
f(x) is in thousand and
x is the number of year after 1800
To determine f(50), we will substitute x = 50 into the function of f(x);
f(50)=165.6(50)^1.345
f(50) = 31928.24 thousands
Since f(50) is the US population in year 1800+50 = 1850
Therefore, the US population in year 1850 is 31928.24 thousands
How do geometric functions differ from algebraic functions?
Answers
Answer:
Geometric function deals with points, lines, varied-dimensional objects and shapes, surfaces, and solids in mathematics Whiles Algebra uses variables, in the forms of letters and symbols, to act as numbers or quantities in equations and formulas.
Can someone please help me?? I will mark you brainliest.
Answers
Answer:
5
Step-by-step explanation:
sorry if it wrong I tried
Express 5940 as the product of prime factors.
Answers
Step-by-step explanation:
5940 = 2×2×3×3×3×5×11
HOPE IT HELPS YA
Answer:
5940= 2 x 2 x 3 x 3 x 3 x 5 x 11
Step-by-step explanation:
Higher income Here is the distribution of the adjusted gross income in
thousands of dollars) reported on individual federal income tax returns
in a recent year. Given that a return shows an income of at least
$50,000, what is the probability that the income is at least $100,000?
Answers
Probabilities are used to determine the chances of events
The probability that the income is at least $100,000 is 0.106
How to determine the probabilityFrom the table, we have the following parameters:
Salary 100 - 499 = 0.100
Salary >= 500 = 0.006
The probability that the income is at least $100,000 is then calculated as:
p = 0.100 + 0.006
Evaluate the sums
p = 0.106
Hence, the probability that the income is at least $100,000 is 0.106
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Complete this sentence: The longest side of a triangle is always opposite the
A. shortest side
B. angle with the smallest measure
C. second-longest side
D. angle with the greatest measure
Answers
Answer:
Letter d :}
Step-by-step explanation: