Subject: Trigonometry, Evaluation of Functions
Hi, I only need help matching the graphs to the questions :) Brainly only allows me to attach 5/10 of the graphs, if the ones i've attached aren't the answer i posted a similar question before this one with the rest of the graph choices. Sorry!!
1. Find <0 if cos0 = 4/7 and sin0 is negative.
2. Find <0 if sec0 = -13/5 and tan0 is negative.
3. Find <0 is sin0 = 7/10 and cot0 is positive.
4. Find <0 if tan0 = 3/4 and sin0 is negative.
Answers
(i) cosФ = 4/7 and sinФ is negative → It lies in the 4th quadrant 304.8° and the suitable graph is not provided here.
(ii) secФ = -13/5 and tanФ is negative → It lies in the IInd quadrant 112.6° and the suitable graph is J.
(iii) sinФ = 7/10 and cotФ is positive → It lies in Ist quadrant =44.4° and the suitable graph is I.
(iv) tan0 = 3/4 and sin0 is negative → It lies in the IIIrd quadrant 216.9° and the suitable graph is not provided here.
What is quadrant?
The point is in the first quadrant if both x and y were positive. If both x and y are negative, the point will reside in the second quadrant. In the third quadrant, if either x and y are negatives, the point is located. The point is situated in the fourth quadrant if both x and y are positive.(i) cosФ = 4/7 and sinФ is negative
Ф=cos^(-1)(4/7)= 55.2°
It lies in 4th quadrant (360-55.2)°=304.8°
A suitable graph is not provided here.
(ii) secФ = -13/5 and tanФ is negative.
Ф=sec^(-1)(-13/5)=67.4°
It lies in IInd quadrant (180-67.4°)=112.6°
A suitable graph is J.
(iii) sinФ = 7/10 and cotФ is positive.
Ф=sin^(-1)(7/10)=44.4°
It lies in Ist quadrant =44.4°
A suitable graph is I.
(iv) tan0 = 3/4 and sin0 is negative.
Ф=tan^(-1)(3/4)=36.9°
It lies in IIIrd quadrant (180+36.9)=216.9°
A suitable graph is not provided here.
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Related Questions
What is the point of (7.0) after translation right 2 units and up 1 unit?
Answers
Answer:
(9, 1 )
Step-by-step explanation:
a translation 2 units right means add 2 to the x- coordinate
a translation of 1 unit up means add 1 to the y- coordinate.
(7, 0 ) → (7 + 2, 0 + 1 ) → (9, 1 )
The results of a survey about what 432 students would like as a career are shown below use the graph
Answers
We have in total 432 students.
8.
We know that 23% of the students want to be a teacher, this means that:
[tex]432\cdot0.23=99[/tex]99 students want to be a teacher.
9.
We know that 13% of the students want to be doctor or nurses, this means that 26% of them want to be one of those, then:
[tex]432\cdot0.26=112[/tex]112 students want to be doctor or nurses.
10.
Since 9% of the students want to be lawyers, this means that 91% of them did not want to be lawyers, then:
[tex]432\cdot0.91=393[/tex]393 students does not want to be lawyers.
Answer:
393 students do not want to be lawyers.
Step-by-step explanation:
Which of the following is a correct way to solve 4 = 13 – 3x ?
A. 4 + 13 = 13 - 3x + 13. 17 = -3x. 17/-3 = -3x/-3. x = -17/3.
B. 4 - 13 = 13 - 13 - 3x. -9 = -3x. -9/-3 = -3x/-3. x = 3.
C. 4 - 13 = 13 - 13 - 3x. -9 = -3x. -9/-3 = -3x/-3. x = -3.
D. 4 - 13 = 13 - 13 - 3x. -9 = -3x. -9/3 = -3x/3. x = -3.
Answers
The solution of the equation 4 = 13 – 3x is x = 3 which is the correct answer would be an option (B).
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given an equation as
4 = 13 – 3x
Rearrange the terms non-variables and variables,
3x = 13 - 4
Apply the subtraction operation,
3x = 9
x = 9/3
Apply the division operation, and we get
x = 3
Therefore, the correct answer would be an option (B).
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a set of license plates has three letters followed by 5 digits. (a) in how many ways can a license plate be made with three letters followed by 5 digits? (letters or digits may be repeated.)
Answers
The license plate can be made in 1,757,600,000 ways
For the license plate, we need 3 letters out of 26 letters of the English alphabet and 5 digits out of 0-9
For the alphabet:
So, the first letter can be chosen in 26 ways
The second letter can be chosen in 26 ways
The third letter can be chosen in 26 ways
For the digits:
The first number can be chosen in 10 ways
The second number can be chosen in 10 ways
Similarly, the remaining three numbers can be chosen in 10 ways each
So, total ways = 26*26*26*10*10*10*10*10 = 1,757,600,000
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Please answer number 8.
Answers
Answer:
Step 2
Step-by-step explanation:
In basic algebra, if one side is positive then you must subtract on both sides, and if one side is negative then you must add on both sides to isolate the x variable.
Using the Pythagorean theorem! Need to be in simplest radical form
Answers
The simplest radical form of the hypotenuse of the given right-angled triangle is therefore discovered to be [tex]6\sqrt{2}[/tex] units.
What is the theory of the Pythagorean Theorem?The Pythagorean Theorem states that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the triangle's legs.
A simplest radical form is defined as what?If the number or algebraic expression under the radical has no factors that are perfect nth powers, then the radical is said to be in its simplest radical form.
The given right angled triangle has sides 6 units each.
We need to determine the hypotenuse using the Pythagorean theorem.
Hypotenuse = [tex]\sqrt{(side 1)^{2} + side 2)^{2} }[/tex]
[tex]=\sqrt{6^{2} + 6^{2} } \\\\= \sqrt{72}\\ \\= 6\sqrt{2}[/tex]
Therefore, the hypotenuse of the given right angled triangle is found to be [tex]6\sqrt{2}[/tex] units which is the simplest radical form.
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A quadratic function passes through the points (−3, 20), (0,−1), and (2, 15).
What is the equation of the function in standard form?
A) f(x)=3x^2−x−2
B) f(x)=3x^2−x+2
C) f(x)=3x^2+2x−1
D) f(x)=3x^2−2x−1
Answers
The quadratic equation in standard form is y = 3 · x² + 2 · x - 1. (Correct choice: C)
How to derive the quadratic equation associated with a set of three points
In accordance with the fundamental theorem of algebra, a quadratic function can be found by knowing three distinct points. Quadratic functions are polynomials of the form, known as standard form:
y = a · x² + b · x + c
Where a, b, c are real coefficients.
If we know that (x₁, y₁) = (- 3, 20), (x₂, y₂) = (0, - 1) and (x₃, y₃) = (2, 15), then the coefficients of the polynomial are found by numerical methods:
9 · a - 3 · b + c = 20
c = - 1
4 · a + 2 · b + c = 15
The solution to the system of linear equations is (a, b, c) = (3, 2, - 1). The equation is y = 3 · x² + 2 · x - 1.
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Khadija is trying to pick out an outfit for the first day of school. she can choose from 2 pairs of pants, 2 t-shirts, and 6 pairs of shoes. how many different outfits does khadija have to choose from?
Answers
Using the Fundamental Counting Theorem, it is found that Samantha has 24 different outfits to choose from.
What is the Fundamental Counting Theorem?
It is a theorem that states that if there are n things, each with n1 ,n2 , n3, ..... nn ways to be done, each thing independent of the other, the number of ways they can be done is:
N= n1*n2*n3.....nn
In this problem:
For the pants, there are 2 options, hence n1=2 .
For the t-shirts, there are 2 outcomes, hence n2=2.
For the shoes, there are 9 outcomes, hence n3=6.
Thus, the total number of outfits is given by:
N = 2 x 2 x 6 = 24.
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let ???? represent the difference between the number of heads and the number of tails obtained when a coin is tossed ???? times. what are the possible values of ?????
Answers
The possible values of X are that if n is even X can takes even integers from [-n, n], and if n is odd, X can takes odd integers from [-n, n]
To solve this question, we can use X to represents the difference between the number of heads and the number of tails obtained when a coin is tossed X times, the possible values of X are now obtained below:
Let H be the no. of heads and T be the no. of tails, since the coin is tossed n times, we have:
H+T=n
now, X = H-T ,
X=H-(n-H)
X=2H-n
Now,
H takes values {0,1,2,3 ......,n-2, n-1,n}
2H takes values {0,2,4,6,.....,2n-4,2n-2,2n}
2H - n takes values {-n,-(n-2),-(n-4), -(n-6),.............,n-4, n-2,n}
X takes values {-n,-(n-2), -(n-4),-(n-6),.............,n-4, n-2, n}
therefore, if n is even X can takes even integers from [-n, n]
and, if n is odd, X can takes odd integers from [-n, n]
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HELP
A toy rocket is launched from a 2.1 m high platform in such a way that its height, h (in meters), after t seconds is given by the
equation h = -4.9t² + 14.0t+2.1. How long will it take for the rocket to hit the ground?
Answers
Answer:
3 seconds
Step-by-step explanation:
The height of the rocket when it hits the ground will be zero meters.
Therefore, set the equation to zero and solve for t by using the quadratic formula.
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
Given equation:
[tex]-4.9t^2+14t+2.1=0[/tex]
Therefore:
[tex]a=-4.9, \quad b=14, \quad c=2.1[/tex]
Substitute the values into the quadratic formula:
[tex]\implies t=\dfrac{-14 \pm \sqrt{14^2-4(-4.9)(2.1)}}{2(-4.9)}[/tex]
[tex]\implies t=\dfrac{-14 \pm \sqrt{196+41.16}}{-9.8}[/tex]
[tex]\implies t=\dfrac{-14 \pm \sqrt{237.16}}{-9.8}[/tex]
[tex]\implies t=\dfrac{-14 \pm15.4}{-9.8}[/tex]
Therefore:
[tex]\implies t=\dfrac{-14 +15.4}{-9.8}=\dfrac{1.4}{-9.8}=-\dfrac{1}{7}[/tex]
[tex]\implies t=\dfrac{-14-15.4}{-9.8}=\dfrac{-29.4}{-9.8}=3[/tex]
As time is positive, t = 3 s only.
Therefore, it will take 3 seconds for the rocket to hit the ground.
A boy scout has 3 meters of rope. He cuts rope into cords ⅗ meters long. How many cords will he make?
Number line please.
Answers
Answer:
5
Step-by-step explanation:
If he wants to cut it into 3/5 meters long then each rope is 0.6 meters long.
3/0.6 = 5
Need help pls y’all will help me
Answers
The correct description regarding each table is given as follows:
1. Rate of change of 4, linear.
2. Rate of change of -2/3, linear.
3. Rate of change of 1/4, linear.
4. Rate of change of -1, linear.
5. Not linear.
6. Rate of change of 3, linear.
Linear functionsA linear function has the definition presented as follows:
y = mx + b.
In which:
m is the slope, which is the constant rate of change.b is the y-intercept.A data-set will only be classified as linear if the rate of change is constant.
Hence the tables in this problem are classified as follows:
Table 1: Linear, as for each two points, the change in the output y divided by the input x has a result of 4, which is the rate of change.Table 2: Linear, as for each increase of 3 in x, there is a decay of 2 in y, hence the rate of change is of -2/3.Table 3: Linear, as for each increase of 4 in x, there is a increase of 1 in x, hence the rate of change is of 1/4.Table 4: Linear, as for each increase of 1 in x, there is a decay of 1 in y, hence the rate of change is of -1.Table 5: Not Linear, as from x = 1 to x = 2 an increase of 1 in x resulted in a an increase of 2 in y, while from x = 2 to x = 3 an increase of 1 in x resulted in a an increase of 4 in y.Table 6: Linear, as an increase of 2 in x results in an increase of 6 in y, hence the rate of change is of 6/2 = 3.Learn more about linear functions at https://brainly.com/question/24808124
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please help me find how many solutions there are
Answers
Answer:
A. No solutionStep-by-step explanation:
Use a distributive property.
Distributive property:
A(B+C)=AB+AC
A(B-C)=AB-AC
First, expand by distributive property from multiply the numbers from left to right.
-9j=-9(j-20)
-9(j-20)
-9*j=-9j
9*20=180
=-9j+180
-9j=-9j+180
Add by 9j from both sides.
-9j+9j=-9j+180+9j
Solve.
0=180
No solution.
Therefore, the correct answer is A. no solution.
I hope this helps, let me know if you have any questions.
The number of ounces of chocolate chips per batch of cookies can be represented with the equation y = 8x, where y represents ounces of chocolate chips and x represents batches of cookies.
Determine how many batches of cookies can be made using 28 ounces of chocolate chips.
3.5 batches
8 batches
36 batches
224 batches
Answers
Answer: 3.5 batches is correct.
Step-by-step explanation: Take 28 and divide that by 8 and that equals 3.5
Hope this helps!
The number of batches of cookies that can be made using 28 ounces of chocolate chips is 3.5 batches.
The correct answer option is option a
How to find number of batches of cookies can be made using 28 ounces of chocolate chips?Equation:
y = 8x
Where,
y = ounces of chocolate chips and x = batches of cookiesIf there are 28 ounces of chocolate chips:
y = 8x
28 = 8 × x
28 = 8x
divide both sides by 8x = 28/8
x = 3.5 batches
So therefore, the
So therefore, 3.5 batches of cookies can be made using 28 ounces of chocolate chips.
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Jon buys 3 shirts for $20.
Answers
Answer: I think the answer is 6.70$ or 6.66666667
Step-by-step explanation:6.70 x 3 = 20.1
But You Multiply 6.66666667 x 3 = 20
Lauren Rodriquez earns 8.35 per hour as a swimming instuctor . How many hours per week must she work if she wants to earn approximately 190.00 per week
Answers
A unit rate is the amount of a quantity at the rate of one.
The number of hours per week to earn approximately 190 is
22 hours 45 minutes
What is a unit rate?A unit rate is the amount of a quantity at the rate of one.
It is written as a ratio with a denominator of one.
Example:
If 3 miles in 3 minutes then 1 mile in 1 minute.
We have,
The amount earned per hour = 8.35
This can be written as:
1 hour = 8.35
Multiply 190/8.35 on both sides.
190/8.35 x 1 hour = 190/8.35 x 8.35
22.75 hours = 190 ____(1)
1 hour = 60 minutes
0.75 hour = 45 minutes
From (1) we get,
22 hours 45 minutes = 190
Thus,
The number of hours per week to earn approximately 190 is
22 hours 45 minutes.
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how do i solve this? |34a−3|=9
Answers
a=-3/17
cancel terms that are in both the numerator and dominator then divide the numbers , more than one way, but this is what I prefer
-3p-4<6 help me please never done these before and teacher isn’t at school to ask!!!
Answers
Answer:
p>-1/3
Step-by-step explanation:
-3p-4<6
+4 +4
-------------
-3p<10
Divide -3 on both sides and you get something like p>-1/3 because you have to flip the sign.
Distance between (4,5) and (-1,3)
Answers
Answer:
[tex]D=\sqrt{29}[/tex]
Step-by-step explanation:
Which graph represents the system of inequalities? {y+3/4x<2 {y−1≥2x
Answers
The graph of the inequality is attached below to represent the solution.
Graph of InequalityTo solve this problem, we can simply plot the graph of the inequality using a graphing calculator. To do this, we can simply input the value of both inequalities and then plot the values.
In the graph below, the the red broken line represents the first equation which is "<" or less than and the second equation which is the straight blue line which represents the ">" or greater than sign.
Kindly find the attached image below.
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is 12.6 repeating a fraction
Answers
Answer: You Welcome
Step-by-step explanation:
12.6 Repeating Decimal = 12 2/3 as a Fraction
Answer:
no, it not
Step-by-step explanation:
It's not a repeating decimal because
A fraction is a repeating decimal if the prime factors of the denominator of the fraction in its lowest form do not only contain 2s and/or 5s or do not have any prime factors at all. This is not the case here, which means that our answer is as follows:
12/6
= no.-repeating
A group of friends wants to go to the amusement park. They have no more than $150 to spend on parking and admission. Parking is $9.75, and tickets cost $13.75 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.
Answers
group of friends have $150 to spend on the amusement park admission and parking.
150 - 13.50 = 136.50
136.50 / 22.75 = 6
x = 6
13.50 + 22.75x = 150
13.50 + 22.75(6) = 150
22.75 * 6 = 136.50
136.50 + 13.50 = 150
Write a verbal expression of x+y
Answers
5. Ramya exercises every 8 days and Deepika every 4 days • Ram and Deepike exerised today. After how many days they exercise together again?
Answers
Using LCM, Ramya and Deepika will exercise together after 8 days.
How do I figure out LCM?Step 1: Use the repeated division method to identify the prime factors of the supplied numbers.
Write the numbers in exponent form in step two. Only those prime factors' product with the highest power should be sought.
Step 3: The LCM of the provided numbers is the product of these factors with the highest powers.
Factors of 8 = 2 × 2 × 2
Factors of 4 = 2 × 2
LCM of 8 and 4 = 8
∴ Ramya and Deepika will exercise together after 8 days.
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Correct Question -
Ramya exercises every 8 days and Deepika every 4 days • Ramya and Deepika exerised today. After how many days they exercise together again?
What’s x??
Solve for x
5x+2=7x-4
Answers
Answer:
x = 3
Step-by-step explanation:
[tex]{ \rm{5x + 2 = 7x - 4}}[/tex]
- First, using equality order by collecting like terms of x together and constants together;
Using subtraction property of equality on constant 2 [subtracting 2 from both sides][tex]{ \rm{(5x + 2) { \green{- 2}} + = (7x- 4){ \green{ - 2}}}} \\ { \rm{5x = 7x - 6}}[/tex]
Using subtraction property of equality on term 7x [subtracting 7x from both sides][tex]{ \rm{5x - { \blue{7x}} = (7x - 6) - { \blue{7x}}}} \\ { \rm{ - 2x = - 6}}[/tex]
- Using division property of equality, by dividing -2 on both sides;
[tex]{ \rm{ \frac{ - 2x}{ \orange{ - 2}} } = \frac{ - 6}{ \orange{ - 2}} } \\ \\ { \rm{x = 3}}[/tex]
[tex]{ \boxed{ \red{ \delta}}}{ \underline{ \mathfrak{ \: \: creed}}}[/tex]
Answer:
x = 3Step-by-step explanation:
What’s x??
Solve for x
5x+2=7x-4
2 + 4 = 7x - 5x
6 = 2x
x = 6 : 2
x = 3
--------------
check
5 * 3 + 2 = 7 * 3 - 4
17 = 17
the answer is good^3√-1
0-1
O undefined
01
O-3
Answers
The answer of the given question of radicals is -1.
What is radicals?
A surd or radical is an unresolved root, particularly one that employs the radical symbol. A radical expression is any expression that contains a radical, whether it is a square root, a cube root, or a higher root, while an algebraic expression is any statement that does not contain any transcendental functions or transcendental numbers. The root test is used to determine the radius of convergence of a power series. The nth roots of 1 are known as roots of unity, and they play an important role in many areas of mathematics, including number theory, equation theory, and the Fourier transform.
Given, ∛-1
if we evaluate this radical then,
∛-1 = -1
because 1 perfect cube.
Hence, the answer is option(a) i.e, -1
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If you explain and I’ll give you brainiest if not but the correct answer I’ll accept that also just NO nonsense answers!!!
Answers
Answer:
1: missing: x values are 4 and 2. missing y values are 20.
2: missing: x values are 12. missing y values are 5 and 3.
3: missing x value is 18. missing y value is 2 and 5.
4: missing x values are, 5, 8, and 12
fill in answers are going from in order left to right
Write an inequality statement comparing m and n. Using complete sentences, explain how you know that your inequality is true.
Answers
The inequality statement comparing m and n is m > n.
The inequality is true because m is further along the number line than n
What is an inequality?It should be noted that an inequality is simply used to express the information given hat aren't equal.
Based on the number line that's drawn we came we that is close to 3 and n is close to 1.
Therefore, this shows that m is greater than n.
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8 is 20% of what number?
Answers
Answer: 40
Step-by-step explanation:
So lets add 8 together five time
8+8+8+8+8=40
So the number is 40
shirley earns £52 for an 8 hour shift at a call centre. In one week, shirley works fifty hours at the call centre. How much does shirley earn during this week
Answers
The amount she earned this week is £325
How to find the amount Shirley earn?Shirley earns £52 for an 8 hour shift at a call centre.
Therefore,
8 hours = £52
1 hour = ?
cross multiply
1 hour earning = 52 / 8
1 hour earning = £6.5
Therefore, In one week, Shirley works fifty hours at the call centre. The amount she earns during the week is as follows:
Hence,
amount she earns this week = 6.5 × 50
amount she earns this week = £325
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