draw your own circle and illustrate the following
Answers
In the image below, Center A is located at the center of the circle and is marked by a red dot.
What is Circle?Circle is a two-dimensional geometric figure that consists of all points in a plane that are at a given distance from a given point, the centre. A circle is a simple closed shape in Euclidean geometry. It is the set of all points in a plane that are at the same distance from its centre. A circle can be defined as the locus of a point moving at a constant distance from a fixed point. It is one of the most basic shapes in geometry. It is also known as a circular arc, a closed curve, and a simple closed curve. Circular shapes are used in many areas of design, from logos to furniture.
Diameter DE is marked with a dashed line and is the longest line that can be drawn within the circle, extending from point D to point E. Radius AC is marked with a solid line, extending from point A to point C. Central angle PAC is marked by the red arc and is the angle between points P and A. Lastly, tangent OB is marked with a dotted line and is a straight line that touches the circle at only one point (point B). This line is perpendicular to the radius AC.
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complete questions as follows-
Draw your own circle and illustrate the following:
1. Center A
2. Diameter DE
3. Radius AC
4. Central angle PAC
5. Tangent OB
Related Questions
A shopkeeper allowed 10% discount on his goals
to make 20% profit If he sold a watch for
Rs.10,170 with 13 %. VAT, by what percent
is the discourt to be increased to make only
12% profit
Answers
Answer:
To make only 12% profit, the discount should be increased to 16%
Step-by-step explanation:
The given information are;
The percentage discount on goods = 10%
The profit made from the sale of the watch = 20%
The amount the watch was sold = Rs.10,710
The percentage VAT included = 13%
Let the recommended selling price of the watch = X
Therefore, we have;
The price after 10% discount = 0.9×X
Which gives;
The amount the watch was sold = Price after 10% discount + Price after 10% discount ×VAT
The amount the watch was sold = 0.9×X + 0.9×X×13% = 0.9×X + 0.9×X×0.13
Rs.10,710 = 0.9×X + 0.9×X×0.13 = 1.017×X
X = Rs.10,170/1.017 = Rs. 10,000
The recommended selling price of the watch = Rs. 10,000
The profit was 20% of selling price which gives;
Profit = Selling price - Cost price = Rs. 9,000 - Rs. X = 0.2 × Rs. X
9000 - X = 0.2×X
9000 = X + 0.2×X = 1.2×X
X = 9000/1.2 = Rs. 7,500
To make only 12% profit, we have;
12% of Rs. 7,500 = 0.12 × Rs.7,500 = Rs. 900
Selling price = Cost price + Profit = Rs. 7,500 + Rs. 900 = Rs. 8,400
Percentage discount from Rs.10,000 to get Rs. 8,400 is given as follows;
Percentage discount = Y%
Therefore;
Y = (10,000 - 8,400)/10000 × 100 = 0.16 × 100 = 16%
Y = 16%
Therefore, to make only 12% profit, the discount should be increased to 16%.
Evaluate each expression if a = 4, b = 6, and c = 2.
Answers
Answer:
26
Step-by-step explanation:
ab+c
plug in #s
4(6)+2
start to solve
24+2
26
An individual's preferences are given by U(x1,x2)=x1αx2β, where α and β are positive parameters. (a) (5 points) Show that MRSx1x2=−(βα)(x1x2). (b) (10 points) Define "strictly convex preferences". Write the formal definition and explain intuitively. Are the preferences of this individual strictly convex? Show why/why not. (c) (10 points) What does it mean for the individual if α>β ? How would this affect his/her indifference curves?
Answers
To arrange the consumer's budget constraint into slope-intercept form, we express it as y = mx + b, where y is the budget, x is the quantity, m is the slope, and b is the vertical intercept.
The consumer's budget constraint can be represented as:
I = p1x1 + p2x2
Rearranging the equation, we can isolate the dependent variable on one side:
p2x2 = I - p1x1
Dividing both sides by p2:
x2 = (I/p2) - (p1/p2)x1
Now the equation is in slope-intercept form, where:
y = x2
m = -(p1/p2)
x = x1
b = (I/p2)
Therefore, the vertical intercept (b) equals (I/p2).
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1. Sarah went to dinner, and the bill was $15.25. She left a 15% tip. How
much money did she leave rounded to the nearest penny?
Answers
Answer:
$17.54
Step-by-step explanation:
15% percent of $15.25 is $2.29 so, add them together
$17.54 is the answer I think
you are education a patient on how to judge the appropriate size of a serving of chicken or lean beef. a good esstimate of 3 ounce of serving size is a
Answers
To educate a patient on how to judge the appropriate size of a serving of chicken or lean beef, a good estimate of a 3-ounce serving size is a typical deck of cards or the palm of their hand. This will help them make healthy choices and keep track of their portions. So, a good estimate of a 3-ounce serving size is a typical deck of cards or the palm of your hand.
What is a serving size?A serving size is a standardized amount of food or drink that is intended to make it easier for people to compare the nutritional content of different products and understand how much they are consuming. A serving size might be listed on a food label or recommended as part of a healthy eating plan or diet.
The recommended serving size for different foods and beverages can vary depending on several factors, including a person's age, sex, and physical activity level, as well as the nutrient content of the food or drink.
For example, a serving of fresh vegetables might be 1 cup, while a serving of meat, poultry, or fish might be 3 ounces. A good estimate of a 3-ounce serving size is a typical deck of cards or the palm of your hand. This can help you make healthy choices and keep track of your portions.
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5) In a urea manufacturing plan, all employees work a basic week of 40 hours. Ay overtime worked during weekdays is paid for at time-and-a-quarter. Overtime worked on Saturday is paid for at time-and-a-half, whilst on Sunday it is paid for at double time. If the basic rate is $14.60 per hour and a man worked 15 hours overtime during weekdays, 6 hours overtime
Answers
Answer: $1,135.15
Step-by-step explanation:
First calculate his basic pay;
= 40 * 14.60
= $584
Total for overtime worked during the week;
= 15 * 14.60 * 1.25
= $273.75
Total for overtime worked on Saturday;
= 6 * 14.60 * 1.5
= $131.40
Total for overtime worked on Sunday;
= 5 * 14.60 * 2
= $146
Sum all the figures;
= 584 + 273.75 + 131.40 + 146
= $1,135.15
Two angles are supplementary. One measures 7x - 9 and the other measures 4x + 3. Find x and the measure of the smaller angle
Answers
Answer:
Supplementary angles add up to 180°
180=7x-9+4x+3
180=7x+4x-9+3
180=11x-7
180+7=11x
187=11x
11x=187
x=187/11
x=17
Therefore x = 17
Probability math question HELP ASAP
all info in image
PLZ AND THANK YOU
Answers
Answer:
There is a 73% chance.
Step-by-step explanation:
If you add up all of the percentages you get 100% from there is it easy to tell that if you add up 1-3 you would have the 73% chance.
(11 + 4) ÷ 3 × \(\sqrt{64}\)
Answers
Answer:
40
Step-by-step explanation:
The answer should be 40 assuming that there are positive real numbers.
You simplify the radical into a product with known factors
sorry If that doesnt make sense lol
Solve for x:
4x/5=20
Answers
Need postulate with explanation
Answers
ΔABD ≅ ΔCBD based on the SAS Congruence Postulate.
What is the SAS Congruence Postulate?The SAS Congruence Postulate is a principle in geometry that states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Since B is the midpoint of AC, therefore AB ≅ CB (one pair of congruent sides).
Based on the reflexive property of congruence, BD ≅ BD (another pair of congruent sides).
Since AC is perpendicular to BD, therefore angles ABD and CBD are right angles, which means <ABD ≅ <CBD (one pair of included congruent angles).
Therefore, based on the SAS congruence postulate, ΔABD ≅ ΔCBD.
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Which graph correctly matches the equation y = 2-x?
Answers
Answer:
This is the graph I got (0,2) (2,0)
Step-by-step explanation:
At McGriff’s Restaurant, 4 hamburgers cost $14.60. At this rate, What is the cost of each hamburger in dollars and cents?
Answers
Answer:
$3.65
Step-by-step explanation:
$14.60/4 = $3.65
So, each hamburger costs $3.65.
Answer:
the answer is 3.65. Hope that helps
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 $15.50, and tickets cost $19.25 per person, including tax. What is the maximum number of people who can go to the amusement park?
Answers
Answer: Maximum amount of people who can go to the amusement park is 6
Step-by-step explanation:
Answer:
Just add 15.50+19.25 several times until you reach 150 or 150+
therefore, The max amount of friends would be 4. This is because 15.50x4= 62 and 19.25x4=77. 77+62=139. If you went any farther up you would get more than 150, passing the budget.
A membership costs for $40 for each month.
The cost of the membership for 12 months will be $
Answers
Write an informal proof to show triangles ABC and DEF are similar. Please don’t answer if you don’t know!!
Answers
Answer:
ΔABC ~ ΔDEF
Step-by-step explanation:
If the given triangles ΔABC and ΔDEF are similar,
Their corresponding sides will be proportional.
\(\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{EF}}=\frac{\text{AC}}{\text{DF}}\)
By substituting the measures of the given sides,
\(\frac{4}{2}=\frac{6}{3}=\frac{2}{1}\)
2 = 2 = 2
Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.
ΔABC ~ ΔDEF
Max Z = 5x1 + 6x2
Subject to: 17x1 + 8x2 ≤ 136
3x1 + 4x2 ≤ 36
x1 ≥ 0 and integer
x2 ≥ 0
A) x1 = 5, x2 = 4.63, Z = 52.78
B) x1 = 5, x2 = 5.25, Z = 56.5
C) x1 = 5, x2 = 5, Z = 55
D) x1 = 4, x2 = 6, Z = 56
Answers
The option B) yields the highest value for Z, which is 56.5. Therefore, the correct answer is B) x1 = 5, x2 = 5.25, Z = 56.5
To determine the correct answer, we can substitute each option into the objective function and check if the constraints are satisfied. Let's evaluate each option:
A) x1 = 5, x2 = 4.63, Z = 52.78
Checking the constraints:
17x1 + 8x2 = 17(5) + 8(4.63) = 85 + 37.04 = 122.04 ≤ 136 (constraint satisfied)
3x1 + 4x2 = 3(5) + 4(4.63) = 15 + 18.52 = 33.52 ≤ 36 (constraint satisfied)
B) x1 = 5, x2 = 5.25, Z = 56.5
Checking the constraints:
17x1 + 8x2 = 17(5) + 8(5.25) = 85 + 42 = 127 ≤ 136 (constraint satisfied)
3x1 + 4x2 = 3(5) + 4(5.25) = 15 + 21 = 36 ≤ 36 (constraint satisfied)
C) x1 = 5, x2 = 5, Z = 55
Checking the constraints:
17x1 + 8x2 = 17(5) + 8(5) = 85 + 40 = 125 ≤ 136 (constraint satisfied)
3x1 + 4x2 = 3(5) + 4(5) = 15 + 20 = 35 ≤ 36 (constraint satisfied)
D) x1 = 4, x2 = 6, Z = 56
Checking the constraints:
17x1 + 8x2 = 17(4) + 8(6) = 68 + 48 = 116 ≤ 136 (constraint satisfied)
3x1 + 4x2 = 3(4) + 4(6) = 12 + 24 = 36 ≤ 36 (constraint satisfied)
From the calculations above, we see that options B), C), and D) satisfy all the constraints. However, option B) yields the highest value for Z, which is 56.5. Therefore, the correct answer is: B) x1 = 5, x2 = 5.25, Z = 56.5.
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An architect makes a scale model of a new sports hall, the model is measured 15cm(l),11.5 (w), 2.5cm (h). if the height of the hall is to be 7.5m, what is the scale being used
Answers
Scale being used = 1 : 300
It is given that the model measured the height as 2.5cm.
The height of the hall = 7.5 m = 750 cm
By using the formula
Scale to be used = size down/ Actual size
= 2.5/ 750
= 1/300
= 1 : 300
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what is the solution of the equation 3-8x=8/5x written as a fraction?
Answers
Answer:
x=5/16
Step-by-step explanation:
3-8x=8x/5
(3-8x)5=8x
15-40x=8x
15=8x+40x
15=48x
x=15/48
x=5/16 ans.
All horses are the same color; we can prove this by induction on the warmups! The Mgm't number of horses in a given set. Here's how: If there's just one horse then it's the same color as itself, so the basis is trivial. For the induction step, assume that there are n horses numbered 1 to n. By the induction hypothesis, horses 1 through n − 1 are the same color, and similarly horses 2 through n are the same color. But the middle horses, 2 through n − 1, can't change color when they're in dfferent groups; these are horses, not chameleons. So horses 1 and n must be the same color as well, by transitivity. Thus all n horses are the same color; QED. What, if anything, is wrong with this reasoning?
Answers
The given proof in the statement is incorrect because it is based on certain assumptions which are not valid in the case of horses. Although the proof argues that all horses have the same color, it fails to consider that horses can change colors throughout their lifetime, and that they come in a variety of colors such as black, white, bay, chestnut, palomino, buckskin, gray, and roan, among others.
Therefore, the given proof is invalid as it is based on incorrect assumptions. It's important to note that any proof or argument should be based on valid assumptions, and it should take into account all the relevant facts and details related to the problem being discussed.
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Use the algebra tiles to help you solve the equation. 4x-2=10
Answers
Answer:
The solution to this equation is x=3
Step-by-step explanation:
If the simple interest on 3,000$ for 3 years is 450$, then what is the interest rate?
Answers
Answer/Step-by-step explanation:
The interest rate is 15% for every 3 years. To find the interest rate subtract the money from the total. Then, divide the total from the difference. Now subtract the quotient from 100 and multiply it by 100 to fin the percentage.
3000 - 450 = 2550
2550 ÷ 3000 = 0.85
100 - 0.85 = 0.15
0.15 x 100 = 15%
Let C represent the cost in dollars and R represent the revenue in dollars. What is the break-even point? Use a table to help if necessary. C=36x+200 R=76x
Answers
The break-even point for the given situation is 5.
What is the break-even point?In accounting and business, the breakeven point (BEP) is the production level at which total revenues equal total expenses.
Given are the equations of the cost in dollars and the revenue in dollars
C = 36x+200 and R = 76x, we need to find the break-even point,
Since, the break-even point is where revenue is equal to the cost,
Therefore,
36x+200 = 76x
40x = 200
x = 5
Therefore, when x = 5 there will be no loss or profit.
Hence, the break-even point for the given situation is 5.
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Reggie wants to join a gym and spend no more than $250 per year. There is a $40 registration fee, and then he will be charged a fee each month for 12 months. Which inequality shows the relationship between the monthly fee (x), the registration fee, and Reggie’s $250 limit?
I REALLY NEED HELP!!!
Answers
Monthly fee for 12 months will be represented as 12x
Therefore
250>40+12x
matt is buying jeans and sweaters for his younger brothers. each pair of jeans will cost 22.50 and each sweater will cost 12.50. if matt spends a total of $200 at the clothing store and buys 12 articles of clothing, how many pairs of jeans and how many sweaters did he buy? you must create and solve the system for points
Answers
Answer: 220
Step-by-step explanation:
A- 22.50 x 12 = 270
B- 12.50 x 12 = 150
C- 270 + 150 - 200 = 220
ANSWER- 220
When the angle of elevation of the sun is 32 degrees, a flagpole casts a shadow that is 10 feet long. In feet, how tall is the flagpole?
Answers
The flagpοle is apprοximately 5.88 feet tall.
What is the angle οf elevatiοn?The angle between an item abοve the hοrizοntal line οf sight and that line is knοwn as the angle οf elevatiοn.
This issue can be resοlved using trigοnοmetry. Let's denοte the flagpοle's height "h" Drawing a right triangle with the flagpοle as the vertical leg, the shadοw as the hοrizοntal leg, and the sun as the angle οppοsite the hypοtenuse is pοssible when the angle οf elevatiοn οf the sun is 32 degrees.
We knοw that the length οf the shadοw is 10 feet, sο that we can write:
tan(32 degrees) = h/10
Tο sοlve fοr "h," we can multiply bοth sides by 10 and simplify:
h = 10 tan(32 degrees)
h = 5.88 feet
Therefοre, the flagpοle is apprοximately 5.88 feet tall.
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Hayley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week, and her brother is spending $15 each week. After how many weeks will their savings accounts have the same amount of money in them? *
Answers
Answer:
Step-by-step explanation:
Hayley: y = 10x + 155
Hank: y = -15x + 230
10x + 155 = -15x + 230
25x + 155 = 230
25x = 75
x = 3 weeks
prove Triangle ACE is an isosceles triangle by completing this proof.
Hint: there are 3 parts to this proof!
Answers
An isosceles triangle is a type of triangle which has two of its sides to be equal, viz-a-viz two of its internal angles are equal. The required proof in the given question are stated below:
A triangle is a trigon with just three straight sides, thus three internal angles. Thus, the sum of its internal angles equals \(180^{o}\). Some common examples are. equilateral, isosceles, right angled, scalene, etc.
An isosceles triangle is one which has two of its sides equal, so that the measure of two of its internal angles are also equal.
Therefore, the expected proof in the question are:
STATEMENT REASON
1. AB = BC = CD = DE = EA Similar sides of a regular pentagon
2. AB = DE Congruent of sides of similar triangle
3. BC = CD Congruent of sides of similar triangle
4. <ABC = <EDC Congruent angles of similar triangle
5. AC = CE Congruent sides of an isosceles triangle
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What is the effective annual rate for 18 percent compounded semi-annually? a. 9.00% b. 19.25% c. None of the listed items is correct d. 39.24% e. 18.81%
Answers
The correct answer is b. 19.25%.The effective annual rate (EAR) is the annual interest rate that accounts for compounding effects.
To calculate the EAR, we use the formula: EAR = (1 + i/n)^n - 1, where i is the nominal interest rate and n is the number of compounding periods per year. In this case, the nominal interest rate is 18% and it is compounded semi-annually, which means there are two compounding periods per year. Substituting these values into the formula, we get: EAR = (1 + 0.18/2)^2 - 1 = 0.1925, or 19.25%.
Therefore, the correct answer is b. 19.25%. This represents the effective annual rate for an 18% nominal interest rate compounded semi-annually, taking into account the compounding effects over the course of a year.
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Find the value of y.
13 = 1/180
Y=
Answers
Answer:
13y=Y/180
Step-by-step explanation:
y x 13=1/180 Y