Answers
It is required to find the exact value of 17π/6 using the unit circle.
To do this, locate the angle on the unit circle to determine the point (x,y) it represents.
Recall that on the unit circle, the cosine is:
\(\cos\theta=x\)Since 17π/6 is greater than 2π, find its equivalent angle that is less than 2π by subtracting multiples of 2π until it is less than 2π:
\(\frac{17\pi}{6}-2\pi=\frac{5\pi}{6}\)Locate this point on the unit circle:
From the unit circle, it can be seen that:
\(x=-\frac{\sqrt{3}}{2}\text{ and }y=\frac{1}{2}\)Hence, the required value is:
\(\cos\frac{17\pi}{6}=-\frac{\sqrt{3}}{2}\)The answer is the first option.
Related Questions
By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
Answers
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
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whats 9+10 ? ;) im dumb so i dont know simple mafs
Answers
Answer:
the answer is 100% = 21
Step-by-step explanation:
which data set shows greater variability ?why?
A or B
shows greater variability because the MAD is greater that the MAD for
A or B
Answers
The polynomial −2x3 − x2 + 13x in the last line is the result of
Answers
Hope this helps!! :D
Answer:
The Second Option as of 2022
Step-by-step explanation:
subtracting 3x4 + 9x3 + 3x2 from the
dividend and bringing down 13x .
X
-4
-3
-2
—1
0
1.
f(x)
18
9
6
3
WN
-3
-6
-9
—18
4
Answers
Answer:
If f(x) = x3 + 13x2 + 44x + 32 and x + 1 is a factor of f(x), then find all of
the zeros of f(x) algebraically.
Step-by-step explanation:
If f(x) = x3 + 13x2 + 44x + 32 and x + 1 is a factor of f(x), then find all of
the zeros of f(x) algebraically.
If f(x) = x3 + 13x2 + 44x + 32 and x + 1 is a factor of f(x), then find all of
the zeros of f(x) algebraically.
If f(x) = x3 + 13x2 + 44x + 32 and x + 1 is a factor of f(x), then find all of
the zeros of f(x) algebraically.
a convex mirror, like the passenger-side rearview mirror on a car, has a focal length of -2.8 m. an object is 5.6 m from the mirror.
Answers
The image's distance from the mirror is -1.87, by using the mirror equation.
Note:- Although the question is missing, I believe the issue is asking where the image is located.
To find the solution to the problem, the mirror equation can be used:
Mirror equation = \(\frac{1}{f}+\frac{1}{d_{o} }+\frac{1}{d_{i} }\)
Where,
f = mirror's focal length
\(d_{o}\) = object's distance from the mirror
\(d_{i}\) = image's distance from the mirror
The focal length is assumed to be negative for a convex mirror in our problem.
f = -2.8 m
The object's distance (do) = 5.6m
By using the mirror equation, the image's distance from the mirror can be determined
\(\frac{1}{f}+\frac{1}{d_{o} }+\frac{1}{d_{i} }\)
i.e, \(\frac{1}{d_{i} } = \frac{1}{f} -\frac{1}{d_{o} }\)
= \(-\frac{1}{2.8} -\frac{1}{5.6}\) = \(-\frac{3}{5.6}\)
= - 0.5357
\(d_{i} =\) \(-\frac{5.6}{3}\)
= -1.87 m
The virtual nature of the image is indicated by the negative sign (located behind the mirror)
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Quadrilateral MNPQ is rotated at 90 degrees counterclockwise about the origin and then rotated 270 degrees counterclockwise about the origin
Answers
After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.
When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.
The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.
Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.
The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.
It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.
The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.
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7. A square backdrop is made of 40 ft of fabric.
What is the closest length of one side of the
backdrop? Round to the nearest tenth.
Answers
Answer:
6.3 ft
Step-by-step explanation:
Square = 4 equal sides
So, we have to find out what multiplied by itself will = 40
40 = x * x = x^2 OR sqrt(40)
sqrt(40) = 6.32455532034 --> 6.3
Riley is going to buy a television for $444.50 plus tax the sale for tax is 6.5%
How much will television cost with tax included
A. 447.39
B. 451.00
C.473.39
D.509.50
E.733.43
Answers
Answer:
C
Step-by-step explanation:
444.50 * 6.5% = 28.89
444.50 + 28.89 = 473.39
6.334*104=6.334*10<sup>4</sup>=
Answers
Answer:
what's that
Step-by-step explanation:
HELPLPLPPPLPLPLPLPLPLPLPLPLPLPLPLP
Answers
Answer:
Mayor will lose a large percentage
Step-by-step explanation:
Answer:
The mayor will lose by a large perecentage
Step-by-step explanation:
Help me. Im actually so serious
Answers
Answer:
Answer in explanation
Step-by-step explanation:
Linear Modeling
It's given a situation where a student has two summer jobs and wants to collect $750 to pay for a down payment on a car. He gets paid $25 for each lawn mowed and $15 for each pool cleaned
Create a model in standard formLet
x = number of lawns mowed
y = number of pools cleaned
He wants to make $750, thus:
25x + 15 y = 750
Dividing by 5, we have the model that represents the linear relationship:
5x + 3y = 150
Identify the x-interceptThe x-intercept can be found by setting y=0:
5x + 3(0) = 150
5x = 150
Dividing by 5:
x = 150/5 = 30
x = 30
This represents the situation where the student gets his $750 by only mowing 30 lawns, no pools cleaned.
Identify the y-interceptThe y-intercept can be found by setting x =0:
5(0) + 3y = 150
3y = 150
y = 150/3 = 50
y = 50
This represents the situation where the student gets his $750 by only cleaning 50 pools, no lawns mowed.
Identify two combinations that are solutions to the equationStarting from the basic equation
5x + 3y = 150
We can give x some arbitrary value (less than 30) and find the value for y.
For example, for x=12
5*12 + 3y = 150
60 + 3y = 150
3y = 150 - 60 = 90
y = 90/3=30
This solution corresponds to the case where the student gets $750 by mowing 12 lawns and cleaning 30 pools.
For example, for x=21
5*21 + 3y = 150
105 + 3y = 150
3y = 150 - 105 = 45
y = 45/3=15
This solution corresponds to the case where the student gets $750 by mowing 21 lawns and cleaning 15 pools.
Identify the equation in slope-intercept form for the line with the given slope that contains the given point.
Slope =3/4; (2,2)
Answers
Use the equation y=mx+b and plug in the coordinates and the slope into the equation.
2=3/4(2)+b
You need to find the b (y-intercept).
2=3/2+b
1/2=b
Now that you know the slope and the y-intercept the equation is y=3/4x+1/2
In a semiconductor company's quality control test, a machine found that 14 out of a sample of 234 computer chips were defective. How many of the 4705 such chips that the company makes each month would you expect to be defective?
Answers
Answer:
281-282
Step-by-step explanation:
What’s the correct answer for this?
Answers
Answer:
B
Step-by-step explanation:
According to the theorem, equal sides have equal angles opposite to them so AB AND AC are equal so x and y are also equal
I am struggling to find domain and range please help thank you
Answers
Answer:
Domain: 0, 1, 2, 3, 4,
Range: 1, 2, 3, 4, 5,
Step-by-step explanation:
Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5, therefore, the answer is:
Molly's scout troop sold 148 boxes of cookies last month and 165 boxes this month. Find the percent of increase, rounded to the nearest tenth of a percent.
Answers
The percent of the increase, rounded to the nearest tenth of a percent, concerning the sales of boxes of cookies that Molly sold last month and this month, is 11.5%.
How is the percentage increase determined?The percentage increase can be determined by finding the difference or the amount of increase in sales.
This difference is divided by the previous month's sales and multiplied by 100.
The total number of boxes of cookies Molly's Scout Troop sold last month = 148
The total number sold this month = 165
The increase = 17 (165 - 148)
Percentage increase = 11.5% (17 ÷ 148 x 100)
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How many Milla amps are in 255watts?
Answers
Answer:
255000
Step-by-step explanation:
255watts in milli-amps
=255000
1 watts/volt = 1000 milliamperes
Hopefully this helped- have a good day)
Write the word form of the number 2.76
Answers
Answer:
two and seventy-six hundredths
Step-by-step explanation:
Answer:
Two and seventy six hundredths
Step-by-step explanation:
Find the solution(s) of the quadratic equation x 2 squared + 2x - 15=0
Answers
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation.
In this case, a = 1, b = 2, and c = -15. Substituting these values into the quadratic formula, we get:
x = (-2 ± sqrt(2^2 - 4(1)(-15))) / 2(1)
Simplifying the expression under the square root, we get:
x = (-2 ± sqrt(64)) / 2
Taking the square root of 64, we get 8:
x = (-2 ± 8) / 2
Simplifying the expression on the right side, we get:
x = (-2 + 8) / 2 or x = (-2 - 8) / 2
x = 3 or x = -5
Therefore, the solutions to the quadratic equation x^2 + 2x - 15 = 0 are x = 3 and x = -5.
Answer: -5, 3
Step-by-step explanation:
Equation:
x² + 2x -15 = 0 The equation is already set =0 so you will factor.
To factor, find 2 numbers that multiply to the last term (-15) but add up to the middle term (+2). Be careful with signs, signs matter
+5 and -3 multiply to -15 but add up to the +2 so these are your factored numbers
put it in factored form
(x+5)(x-3)=0 set each parenthesis =0 to solve for x
x+5 = 0 x-3=0
x= -5 and x=3
convert 9.6 hectometets to dekameters
Answers
To change from hectometer to decameter multiply by 10
9.6 x 10 = 96
answer: 96 decameters
Answer:
96 dac.
Step-by-step explanation:
Multiply 9.6 with 10
Which pair of angles are interior angles?
Answers
Simplify the given expression. Assume x = 0
-2
20r-3
10x-1
2
4
Answers
Answer:
x⁴/4
Step-by-step explanation:
(20x‐³/10x‐1)‐²
= > 20/10 = 2
so = (2x-³/x-¹)-²
= (2/x²)-²....................(a/b)-²=(b/a)²
= (x²/2)²
= x⁴/2
What quadrant is the point (-3, -3) in
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
brainliest pls
Are all intersecting lines perpendicular? Draw a picture to help explain your answer
Answers
Not all intersecting lines are perpendicular.
What are perpendicular lines?Perpendicular lines require a 90-degree angle of intersection, creating the formation of right angles.
Nonetheless, unlike perpendicular lines that necessitate exactly 90 degrees of intersections, other types of driven lines can be at varying angles beside these.
As such, it is critical to highlight that in general intersecting lines come with different angles of intersection, and only those featuring exact 90-degree angle of intersection become normal cases of intersecting lines, becoming one among many subtypes existing today.
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Desmond is 5 inches taller than Niki.
If we let
represent Niki's height in inches, write an algebraic expression for Desmond's height.
Answers
The algebraic expression for Desmond's height is x + 5.
write an algebraic expression for Desmond's height.If we let "x" represent Niki's height in inches, then Desmond's height can be represented by "x + 5", since Desmond is 5 inches taller than Niki.
So the algebraic expression for Desmond's height is x + 5.
What are algebraic expression?Algebraic expressions is consist of variables, numbers, and mathematical operations (such as addition, subtraction, multiplication, and division).
They can contain one or more variables and can be evaluated for different values of the variables.
For example, the expression 3x + 5y - 2z is an algebraic expression that contains three variables (x, y, and z) and three coefficients (3, 5, and -2) that are multiplied by those variables. Algebraic expressions are commonly used in algebra to represent mathematical relationships and solve problems.
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PLEASE HELP WORTH 25 POINTS
Model with Mathematics The outline of a park is
shown in the diagram. Each square on the grid represents
a square yard. Use shapes to model the area of the park.
Explain your reasoning and justify your calculations.
Answers
Answer:
We are trying to calculate the area of the park by modeling it with shapes. To start, the larger rectangle (green) toward the top is the easiest to calculate. Its length is 8 yards and its width is 4 yards, so the area would be 8 x 4 = 32 yards^2.
Next, the 3 rectangles at the bottom (white). The one in the middle has a length of 4 yards and a width of 3 yards, so its area is 4 x 3 = 12 yards^2. The two rectangles to either side are the same size, so together their area will be 2 x 4 x 3 = 24 yards^2.
Now that we have modeled the park with 3 shapes, we need to add the areas together to get the total area. So, we have 32 + 12 + 24 = 68 yards^2. The total area of the park is 68 yards^2.
Step-by-step explanation:
The area of the park is about :
95 + 27 = 122 yards
We have the following information available from the question is:
The outline of a park is shown in the diagram. Each square on the grid represents a square yard. Use shapes to model the area of the park.
Now, According to the question:
Each square on the grid represents a square yard, and as we can see from the figure that the complete square is about 95, the incomplete grid is about 27,
So the area of the park is about :
95 + 27 = 122 yards
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I need help with both of these plss
Answers
Answer:
3. All you did was switch the numbers, so it will still equal the same :)
4. 8a and the other 8a cancel each other out, so since 8 has no variables, it ends up by itself.
A jar contains 200 coins.
Zack pulls out a coin, records its value, and then puts the coin back into the jar.
Zack does this same process 8 times and records 1 quarter, 2 dimes, 2 nickels, and 3 pennies.
Based on these results, how many coins in the jar can Zach expect to have a value of $0.10 or more?
Answers
Answer:
10% ive done these in 6th
Step-by-step explanation:
1. Which of the following is equivalent to 6/10? 5/9 9/15 8/12 36/100