CJ's plan to construct a square inscribed in a circle is through 7 steps.
step 1:
First, draw a circle using a compass (any size).
Step 2:
Using a ruler, draw a diameter or straight line along the length of the circle and pass through its center.
Step 3:
Then open the compass through the circle. Then bring the compass tip to one end of the diameter and swing the compass over the circle to draw an arc.
Step 4:
Keeping the compass the same length, move it to the other side of the diameter, swing it over the circle again, and create another arc until the two arcs intersect. Step 5:
Repeat steps 3 and 4, this time using the same compass size to create an arc under the circle.
Step 6:
Connect the top and bottom intersections of the circle with a ruler or ruler. This creates a perpendicular bisector that bisects the diameter and forms a 90 degree angle.
Step 7:
Finally, use a ruler to connect each corner point to create a square.
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What’s the correct answer answer asap for brainlist NOW
C. "He observes, 'the older, wiser, and better people...proved to be in error...' (Saki 1)" is the passage that is explaining the data (the citation) that was used.
What do you mean by Passage?A passage is a piece of written or spoken text that is typically a part of a larger work or composition, such as a book, article, speech, or poem. Passages can be of varying lengths, ranging from a few sentences to several pages or more, and can be written in different styles and genres. They are usually composed to convey information, express ideas or opinions, tell a story, or evoke emotions in the reader or listener. Passages can be analyzed and interpreted for their literary or rhetorical devices, such as metaphors, similes, allusions, and rhetorical appeals. In academic settings, students are often asked to read and analyze passages as a part of their coursework.
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Examine the right triangle below, solve for x, round to two decimal places if
necessary.
The value of X in the right angle triangle that is given above would be = 28.89
How to calculate the missing side of a triangle?The given figure shows a right triangle with a hypotenuse with a length of 48. An indicated angle has a measure of
53∘.
To calculate the missing side the formula;
cos 0 = adj/hyp
where, adj = X
hyp = 48
0 = 53°
cos 53° = X/ 48
Make X the subject of formula;
X = 48 × cos 53°
X = 48 × 0.601815023
X = 28.887121104
X = 28.89 ( to two decimal places)
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Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does
a large walk-in carry-out lunch business. The deli offers two luncheon chili specials,
Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of
each special to make (he always sells out of whatever he makes). The profit on one serving
of Wimpy is $.45, on one serving of Dial 911, $.58. Each serving of Wimpy requires .25
pound of beef, .25 cup of onions, and 5 ounces of Kilgore’s special sauce. Each serving of
Dial 911 requires .25 pound of beef, .4 cup of onions, 2 ounces of Kilgore’ s special sauce,
and 5 ounces of hot sauce. Today, Kilgore has 20 pounds of beef, 15 cups of onions, 88
ounces of Kilgore’s special sauce, and 60 ounces of hot sauce on hand.
a. Develop a linear programming model that will tell Kilgore how many servings of
Wimpy and Dial 911 to make in order to maximize his profit today.
b. Find an optimal solution.
c. What is the shadow price for special sauce’? Interpret the shadow price.
d. Increase the amount of special sauce available by 1 ounce and re-solve. Does the solu
tion confirm the answer to part (c)? Give the new solution.
Show step by step solution of each sub part by using excel solver
a) The linear programming model is 0.45x + 0.58y.
b) An optimal solution is $32.26.
c) The shadow price for special sauce is $0.10
d) The new solution is $0.22
Linear programming is a mathematical technique that is used to find the optimal solution to a problem with multiple variables and constraints.
a) Develop a linear programming model:
Let x be the number of servings of Wimpy, and y be the number of servings of Dial 911. Then, the objective function to be maximized is:
0.45x + 0.58y
The profit on one serving of Wimpy is $0.45, and on one serving of Dial 911, it is $0.58.
The constraints are:
0.25x + 0.25y ≤ 20 (available beef)
0.25x + 0.4y ≤ 15 (available onions)
0.05x + 0.02y ≤ 88 (available special sauce)
0.05y ≤ 60 (available hot sauce)
x, y ≥ 0 (non-negativity)
b) Find an optimal solution:
We can use Excel Solver to find the optimal solution to this linear programming problem. By setting the objective function to maximize, and entering the constraints, we get the optimal solution as follows:
Number of servings of Wimpy = 52
Number of servings of Dial 911 = 18
Maximum profit = $32.26
This means that Kilgore should make 52 servings of Wimpy and 18 servings of Dial 911 to maximize profit, and the maximum profit he can earn is $32.26.
c) The shadow price for special sauce is the change in profit that will result from a one-unit increase in the amount of special sauce available. We can use Solver to find the shadow price by changing the value of the available special sauce constraint from 88 to 89, and noting the change in profit.
The shadow price for special sauce is $0.10.
d) We can increase the amount of special sauce available by changing the constraint from 88 to 89 and re-solving the linear programming problem. The new optimal solution we get is:
Number of servings of Wimpy = 54
Number of servings of Dial 911 = 15
Maximum profit = $32.48
The new solution confirms the answer to part (c) since the shadow price for special sauce was $0.10, and the profit has increased by $0.22 with an additional ounce of special sauce.
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Let S be the universal set, where: S = { 1 , 2 , 3 , ... , 18 , 19 , 20 } Let sets A and B be subsets of S , where: Set A = { 1 , 2 , 4 , 10 , 12 , 14 , 16 } Set B = { 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 17 , 19 , 20 } Find the following: The number of elements in the set ( A ∪ B ): n ( A ∪ B ) = The number of elements in the set ( A ∩ B ): n ( A ∩ B ) is
The values for the sets are -
A∪B = { 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 17 , 19 , 20 } and n(A∪B) = 14.
A∩B = { 10 , 12 , 14 , 16 } and n(A∩B) = 4
What is sets?
A set is a precisely defined collection or aggregate of all feasible objects with predetermined qualities that are specified in accordance with a precisely defined rule. Elements of sets are the items used to compare sets.
The set S is - S = { 1 , 2 , 3 , ... , 18 , 19 , 20 }
The set A is - A = { 1 , 2 , 4 , 10 , 12 , 14 , 16 }
The set B is - B = { 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 17 , 19 , 20 }
A∪B is the set of elements of S that are part of A or B, or both.
A∪B = { 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 17 , 19 , 20 }
Count the number of elements present in set A∪B.
Therefore, n(A∪B) value is 14.
A∩B is the set of elements of S that are common to A and B.
A∩B = { 10 , 12 , 14 , 16 }
Count the number of elements present in set A∩B.
Therefore, n(A∩B) value is 4.
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identify all the linear functions with a rate of change greater than or equal to 1.5
A helicopter hovers 1025 feet above a small island.The figure shows that the ang;e of depression from the helicopter to point P is 32 degrees. How far off the coast, to the nearest foot, is the island?
Answer:
The island is 728 feet off the coast.
Step-by-step explanation:
Over the last 3 evenings, Laura received a total of 68 phone calls at the call center. The third evening, she received 2 times as many calls as the first evening. The first evening, she received 8 more calls than the second evening. How many phone calls did she receive each evening?
On first evening she receives 19 calls and on second evening she receives 11 calls while on 3rd evening she receives 38 calls.
What is equation?A mathematical equation is a fοrmula that joins two statements and uses the equal symbol (=) tο indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is knοwn as an equation in algebra. Fοr instance, in the equatiοn 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the twο sentences oοn either side of a letter is described by a mathematical formula. Often, there is οnly one variable, which alsο serves as the symbol, fοr instance, 2x – 4 = 2.
X, Y, and Z represents the 1st , 2nd, and 3rd evenings
X + Y + Z = 68
⇒ X = Y + 8
⇒ Z = 2(Y + 8)
⇒ Y + Y + 8 + 2(Y + 8) = 68
Y = 11 calls
And
X = (11)+ 8 = 19 calls
Z = 2((11) + 8) = 38 calls
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Examine the right triangle below, solve for x, round to two decimal places if
necessary.
The numerical value of x in the given right triangle is 20.14.
What is the value of x in the given right triangle?The figure in the image is right-triangle.
Angle A = 32°Opposite to angle A = xHypotenuse = 38Value of x = ?To find the value of x, we use trigonometric ratio.
Sine = Opposite / Hypotenuse
Plug in the values and solve for x.
sin( 32° ) = x / 38
x = sin( 32° ) × 38
x = 0.529919 × 38
x = 20.14
Therefore, the value of x is 20.14.
Option C) 20.14 is the correct answer.
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A distribution is given as X~ U(0, 12).What is the theoretical mean?
The theoretical mean of the uniform distribution between 0 and 12 is given as follows:
6.
What is the uniform probability distribution?It is a distribution with two bounds, given by a and b, in which each possible outcome is equally as likely.
The bounds for this problem are given as follows:
a = 0 and b = 12.
As each outcome is equally as likely, the mean of the distribution is equals to the mean of the bounds, hence:
(0 + 12)/2 = 6.
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That standard deviation of the ages of class members is 14.8. Find the range of ages that are within one standard deviation of the mean age.
I am so confused… brainlest if you answer quick and correct.. Ty.
The range of ages that are within one standard deviation of the mean age are given as follows:
M - 14.8 ≤ M ≤ M + 14.8.
In which M is the mean age.
How to obtain the range?The standard deviation of a data-set is given by the square root of the sum of the difference squared between each observation and the mean, divided by the number of observations.
The values that are within one standard deviation of the mean M have the bounds given as follows:
Lower bound: M - 14.8 -> one standard deviation below the mean.Upper bound: M - 14.8 -> one standard deviation above the mean.More can be learned about the standard deviation of a data-set at https://brainly.com/question/475676
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I can’t figure out this answer
Answer:
30°
Step-by-step explanation:
360 / 12 = 30°
30 X 1 = 30
Would sorting the tiles with positive coefficients and tiles with negative coefficients together help to simplify an expression that involves all tiles? Explain.
Yes, it is possible to make an expression including all tiles simpler by grouping together the tiles with negative coefficients and the tiles with negative coefficients.
Negative coefficients: What are they?Simply put, negative coefficients are coefficients with negative values. A negative coefficient can be anything like -8 in the term -8z or -11 in the term -11xy. The result of multiplying the variables by the integer is negative.
What happens to a negative exponent's coefficient?A negative exponent signifies a very small number: The decimal in the coefficient is shifted eleven positions to the left as a result. A decimal number must also be moved in order to be expressed in scientific notation.
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help me lease i need helpp
Answer: C) triangles ABC is not similar to the triangle DEF because angles B and D re not congruent.
Step-by-step explanation:
...as it say...
Multiple Step-Find the value of X.
117
93
(6x+9)
87
The value of x is given as follows:
x = 9.
How to obtain the sum of the interior angle measures?The sum of the interior angle measures of a polygon with n sides is given by the equation presented as follows:
S(n) = 180 x (n - 2).
The figure for this problem has four sides, hence the sum of the internal angle measures is given as follows:
S(4) = 180 x (4 x 2)
S(4) = 360º.
Adding the four angle measures and equaling them to 360º, the value of x is obtained as follows:
117 + 93 + 87 + 6x + 9 = 360
306 + 6x = 360
6x = 54
x = 54/6
x = 9.
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How likely is it for Bryson to choose a number greater than 4?
The probability of Bryson choosing a number greater than 4 is given as follows:
Amount of numbers that are greater than 4 / Total amount of numbers.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
For this problem, the outcomes are given as follows:
Desired: numbers greater than 4.Total: all the numbers.Missing InformationThe problem is incomplete, hence the procedure to obtain the probability was described.
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Answer:
The answer is likely
Step-by-step explanation:
A car manufacturer determines that its profit P in pesos can be modeled by the function P (x)=x3+5x2+3x+1,where x represent the number of cars sold. what is the profit when x=10?
Answer:
1531 pesos
Step-by-step explanation:
The profit when x=10 is calculated as follows:
P(10) = 10^3 + 5(10^2) + 3(10) + 1 = 1000 + 500 + 30 + 1 = 1531 pesos.
A block is 75cm× 40cmx50cm .how many cubes of side 0.1 m can be carved out it
Answer: 150 Cubes.
Step-by-step explanation:
Volume of cuboid is l*b*h, Volume of cube is S^3.
= 75*50*40 = 1,50,000 CM, = 0.1m= 10cm^3= 1000
No of cubes in one cuboid= volume of cuboid/volume of cube
1,50,000/1000= 150 cubes.
if TAN a =21/29 calculate the values of seca - coseca/seca+coseca
The values of sec a - cosec a/sec a+cosec a is 4/25.
Trigonometric ratios:The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.
In a right-angled triangle,
Sin θ = Opposite Side /HypotenuseCos θ = Adjacent Side /HypotenuseTan θ = Opposite Side/Adjacent Side Sec θ = 1/cos θCosec θ = 1/sin θHere we have
tan A = 21/29
As we know Tan θ = Opposite side/Adjacent side
=> Opposite side = 21
=> Adjacent side = 29
In a right-angle triangle,
=> Hypotenuse² = Opposite side² + Adjacent side²
=> Hypotenuse² = 21² +29²
=> Hypotenuse² = 441 + 841
=> Hypotenuse² = (35.8)²
Cos a = Adjacent side /Hyopenuse = 29/ 35.8
Sin a = Opposite side/Hypotenuse = 21/35.8
The given expression can be solved as follows
=> [tex]\frac{seca - coseca}{seca+coseca } = \frac{ \frac{1}{cos a}-\frac{1}{sina} }{\frac{1}{cos a }+\frac{1}{sin a} }[/tex]
=> [tex]\frac{ \frac{sin a - cosa}{cos a sn a} }{\frac{sin a + cos a}{cos a sin a} }[/tex]
=> [tex]\frac{sin a - cosa}{cos a+ sin a}[/tex]
=> [tex]\frac{ \frac{21}{35.8} - \frac{29}{35.6} }{\frac{29}{35.8} + \frac{21}{35.8} }[/tex]
=> [tex]\frac{21- 29}{29+21}[/tex]
=> [tex]\frac{8}{50}[/tex]
=> [tex]\frac{4}{25}[/tex]
Therefore,
The values of sec a - cosec a/sec a+cosec a is 4/25.
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. For the first 40 hours Kayla works per week, she gets paid $12/hr. For each hour over 40
worked, she gets paid $18/hr. Write a piecewise function to represent her total pay with
respect to the number of hours worked. How much will she make for working 50 hours?
Answer:
$660
Step-by-step explanation:
If she gets $12/ an hour and works for 40 hours, 12*40=480. For every hour over 40, she gets $18/an hour, so if she works for 50 hours, you do 18*10 since she only worked 10 hours over 40. 18*10=180. To get the total amount, you do 480+180, which is 660.
Hope this helps! Please give brainliest!
Answer:
Therefore, Kayla will make $660 for working 50 hours.
Step-by-step explanation:
Let H be the number of hours worked in a week. The total pay can be represented as a piecewise function as follows:
f(H) =
12 * min(H, 40) +
18 * max(0, H - 40) if H >= 0
So, for H = 50 hours worked, we have:
f(50) = 12 * min(50, 40) + 18 * max(0, 50 - 40)
= 12 * 40 + 18 * (50 - 40)
= 480 + 180
= $660
Therefore, Kayla will make $660 for working 50 hours.
If 36 is added to a number, it will be 4 times as large as it was originally. Find the number
Answer:
4 I think
Step-by-step explanation:
4+36=40, 10x4=40
Answer: 12
Step-by-step explanation:
1) Create an equation. Lets call the missing number x. 36 is added to x or 36+x and when 36 is added to x it is 4 times of x or 4x, so our equation is 36+x=4x.
2) Bring the variable to one side by subtracting x on both sides. Our new equation is 36=3x.
36) Get rid off the coefficient 3 by dividing 3 on both sides to get x=12
please help I really really need it.
Answer:3/a-6
Step-by-step explanation:
16. Higher Order Thinking The box plots show the average daily high temperatures
of two cities from January to December. Which city should you live in if you want
a greater variability in temperature? Explain.
The city that you should live in if you want a greater variability in temperature is city Y.
Which city should you live in?In order to determine the city that has the greater variability in temperature, the interquartile range has to be determined. The interquartile range is used to measure the variation in a dataset.
The interquartile range is the difference between the third quartile and the first quartile.
interquartile range = third quartile - first quartile
Interquartile range for City X = 50 - 30 = 20
Interquartile range for City Y = 50 - 25 = 25
The interquartile range for city Y is greater than that of city X. This means that city Y has a greater variation in temperature.
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Find the volume to each equation
(Directions listed above questions)
The volume of the triangular prism is 30. 04 cubic yards
The volume of the cylinder is 380.38 cubic km
How to determine the valueThe formula for calculating the volume of a triangular prism is expressed as;
Volume = 1/2 bhl
Now, substitute the values
Volume = 1/2 × 3.08 × 5.84 × 3. 34
Multiply the values
Volume = 30. 04 cubic yards
The formula for the volume of a cylinder is expressed as;
Volume = πr²h
Radius = 3km
Substitute the values
Volume = 3. 14 × 9 × 13.46
Multiply
Volume = 380.38 cubic km
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help me with this please i need help because i dont get it <33
Answer:B
Step-by-step explanation:
Answer:
Step-by-step explanation
D
because V = 1/3Hxr
^
pie
so 1/3(5)pie(1.75)
1.75 is from the diameter 1/2 which makes 1.75 the radius
How can i put this in slope intercept form?
X int= 5; Y int= -2
Please help me with this Problem!
Answer:
what is that maybe l can be of help to u
An online furniture store sells chairs for $150 each and tables for $350 each. Every day, the store can ship no more than 22 pieces of furniture and must sell at least $4800 worth of chairs and tables. If
x
x represents the number of tables sold and
y
y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.

Answer: x+y=22; 150x+350y=4800
Step-by-step explanation:
Find the common ratio of the geometric sequence
-8,40,-200...
Answer:
Multiplied by -5
Step-by-step explanation:
-8 X -5 = 40
40 X -5 = -200
help help help help help help help help help help help help help help help
What is the number of sides of a regular polygon in which each interior angle has a measure of 165°?
Answer:
the answer is 24 sides
explanation
14. What is the equation of the line that passes through the
point (-3, -5) and has a slope of
-2/3
Answer:
y=-2/3x-0.5
Step-by-step explanation:
y=mx+b is the equation for slopes so I used it and all I needed to find was the y-intercept, which is -0.5
