Yes, a rectangle can be a circle.
Through the use of geometry and advanced mathematical principles, a rectangle can be transformed into a circle. By manipulating the sides of the rectangle and adjusting the angles, a perfect circle can be created.
This is possible by reshaping the rectangle into a circular form. This transformation can be accomplished through a variety of methods, such as using a compass to draw an outline of the desired shape or using a ruler to draw an angled shape to create a circular form.
Regardless of the method used, it is possible to transform a rectangle into a circle.
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1) (6.4G) What percentage of the
model is shaded?
Answer:
66%
Step-by-step explanation:
If you count all the shaded blocks you get 10 to a total of 15 blocks
which simplifies down to 2/3
The gift shop sold 4 times as much wrapping paper in december as in january. they sold 635 rolls over the two moths Draw a bar model to represent the number sold each month. write an equation to show the number represented by each box of the bar model. then find the number. how much wrapping paper was sold in december? explain how you know.
Answer:
5x = 635
x = 127
508 rolls of paper were sold in December.
Step-by-step explanation:
Two sides and an angle (SSA) of a triangle are given. Determine whether the given
produce one triangle, two triangles, or no triangle at all. Solve each triangle that
measurements
results.
a = 17,
c = 18.3
A = 56°
Answer:
no triangle at all
Step-by-step explanation:
When two sides and an angle (SSA) of a triangle are given, we can use the Law of Cosines to determine whether the given measurements produce one triangle, two triangles, or no triangle at all.
The Law of Cosines states that in any triangle ABC, c² = a² + b² - 2ab cos(C), where a, b, and c are the lengths of the sides of the triangle and A, B, and C are the measures of the angles opposite those sides.
Given a = 17, c = 18.3, and A = 56°, we can use the Law of Cosines to find the value of b²:
b² = c² - a² + 2ab cos(A)
If the value of b² is positive, then the given measurements produce one triangle. If the value of b² is zero, then the given measurements produce one degenerate triangle. If the value of b² is negative, then the given measurements do not produce any triangle.
Calculating b² = 18.3² - 17² + 2(17)(18.3)cos(56°) = 0.3
As the value of b² is zero, the given measurements produce one degenerate triangle. A degenerate triangle is a triangle whose sides do not form a valid triangle, i.e the three sides are collinear.
Since, the value of b² is zero, it means that the three sides of the triangle are collinear and it will not form a triangle. The measurements provided do not produce any triangle.
Suppose that y varies directly with x, and y=9 when x= -3.
(a) Write a direct variation equation that relates x and y
Equation: y = -3
The equation that relates x and y is y = -3x.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
y ∝ x
y = kx
Now,
When x = -3, y = 9
This means,
9 = -3k
k = -3
Now,
The equation is y = -3x
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A talent contest has 8 contestants. Judges must award prizes for first, second, and third places. If there are no ties,
A. In how many different ways can the 3 prizes be awarded?
B. How many different groups of 3 people can get prizes?
A. The 3 prizes be awarded in 336 different ways.
B. The 3 people can get prizes in 56 different groups.
PROBABILITY CALCULATION
A. The different ways can the 3 prizes be awarded:
There are 8 contestants, so the number of ways to award the first prize is 8. Once the first prize is awarded, there are 7 remaining contestants for the second prize, and 6 remaining contestants for the third prize. So, the total number of ways to award the 3 prizes is 876 = 336.
B. The different groups of 3 people can get prizes:
This is a combination problem. To find the number of ways to choose a group of 3 people from a group of 8, we use the formula [tex]_{n} C_{r}[/tex], where n is the total number of people and r is the number of people we want to choose. In this case, n = 8 and r = 3, so the number of ways to choose a group of 3 people from 8 is ₈C₃ = 56.
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Graph the image of the given triangle, translated by the rule
X,Y > (X + 2, Y - 7.)
Answer:Xkskx
Step-by-step explanation:
Bank account starts with $10 and doubles each week.Bank account D starts with $1000 and grows by $500 each week.
When will account c contain more money than account D.
0 weeks
3 weeks
9 weeks
11 weeks
15 weeks
89 weeks
Answer:
9 weeks
Step-by-step explanation:
set y as how much money they have
set x as how many weeks spend
Bank account C:
y = 10 * 2^x
Bank account D:
y = 1000 + 500x
Set this two equations equal to find the point of two bank account have the same amount of money:
10 * 2^x = 1000 + 500x
Solve the equation:
2^x = 100 + 50x
1.
A car travels 200 miles to Alabama at 55 miles per hour. It then goes
another 10 miles to Dothan. Write an equation and solve to find how many
hours it takes
Answer: 12.5 miles
Step-by-step explanation:
Rewrite 2 and 1/5 as a decimal
Answer: 2.2
Step-by-step explanation: To find the decimal form of 2 1/5, we need to turn it into an improper fraction. That would be 11/5. Now we'd turn that into a division problem. So, we'd do 11/5, which 5 can go into 11 2 times, and would have 2 left over. I hope this helped.
Given that a = 4 cm and b = 9 cm, work out the area of the triangle. Give your answer rounded to 1 DP. The diagram is not drawn accurately.
18 cm
To determine the area of a truangle the formula (b*h) /2 shall be used.
In this problem the base is 9 cm and the height is 4 cm. therefore those two values should be multiplied, thus giving 36cm. Lastly, 36 should be divided by 2 which should be 18 cm.
if 11011 and 11 are in binary, find their product in binary
To find the product of 11011 and 11 in binary, you can use the standard multiplication algorithm that you would use for decimal numbers.
First, you need to multiply 11011 by the rightmost digit of 11, which is 1. This gives you 11011.
Then, you need to multiply 11011 by the next digit of 11, which is 1. This gives you 100110.
Finally, you need to add these two results together to get the final answer:
11011
100110
110121
The product of 11011 and 11 in binary is 110121.
How many terms is 3xy?
What should we be taken away from 3x² - 4y² + 5xy + 20 to obtain - x² - y² + 6xy + 20?
Answer:
Hence, the expression ( 4 x 2 - 3 y 2 - x y ) should be taken away from 3 x 2 - 4 y 2 + 5 x y + 20 to obtain - x 2 - y 2 + 6 x y + 20 .
Step-by-step explanation:
If a baby has a fever, then the baby is sick. If a baby is sick, then the baby must
be brought to the hospital.
Answer:
taken to the hospital or get medical attention where you are.
Step-by-step explanation:
Brainliest?
Why there is no AAA congruence theorem?
There is no AAA congruence theorem because it is a statement that states that if three angles of one triangle are equal to the three angles of another triangle, then the two triangles must be congruent.
The reason why there is no AAA congruence theorem is that it is not possible to determine the congruence of the two triangles based solely on the angles alone. The angles must be compared with the sides of the triangles. This means that two triangles with the same angles may not necessarily be congruent with one another. Therefore, the AAA congruence theorem does not exist.
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There is no AAA congruence theorem because it is a statement that states that if three angles of one triangle are equal to the three angles of another triangle, then the two triangles must be congruent.
The reason why there is no AAA congruence theorem is that it is not possible to determine the congruence of the two triangles based solely on the angles alone. The angles must be compared with the sides of the triangles. This means that two triangles with the same angles may not necessarily be congruent with one another. Therefore, the AAA congruence theorem does not exist.
congruence
the quality of being similar to or in agreement with something: the congruence of the two systems.
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Solve (2/6)^12/7 (That's two sixths to the power of twelve sevenths.)
PLEASE HELP
A plumber is cutting pieces of pipe that are 3.36 meters long. The pipe must be within 0.09 meters of the required length. Write and solve an absolute value inequality to find the range of the length of pipe.
If a plumber is cutting pieces of pipe that are 3.36 meters long, and the pipe must be within 0.09 meters of the required length. The equation representing this is 3.36 / x < 0.09
the solution to the equation is x > 37 1/3
How to find the inequality equationThe inequality equation representing the condition is written as follows
length of pipe = 3.36 meters
each pipe division must be within 0.09 meters meaning < 0.09 meters
The division into say x pieces is calculated by
3.36 / x < 0.09
solving the inequality gives
3.36 / x < 0.09
3.36 / 0.09 < x
31 1/3 < x
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Erin wants to buy a set of paintbrushes.
Store A sells a set for \$ 25.00$25.00 and offers a 10\%10% discount.
Store B sells a set for \$ 27.00$27.00 and offers a 20\%20% discount.
Store C sells a set for \$ 26.00$26.00 and offers a 15\%15% discount.
After calculating the discounted prices, place the stores in order from lowest price to highest price for a set of paintbrushes.
Lowest price:
Middle price:
Highest price:
Placing the stores in order from lowest price to highest price for a set of paintbrushes will be;
Lowest price: Store B
Middle price: Store C
Highest price: Store A
What is Discount?Discount refers to the condition of the price of a bond that is lower than the face value. The discount equals the difference between the price paid for and it’s par value.
Discount is a kind of reduction or deduction in the cost price of a product. It is mostly used in consumer transactions, where people are provided with discounts on various products
Store A
Discounted Price = $25 - ((10/100) x 25)
Discounted Price = $25 - $2.5
Discounted Price = $22.5
Store B
Discounted Price = $27 - ((20/100) x 27)
Discounted Price = $25 - $5.4
Discounted Price = $21.6
Store C
Discounted Price = $26 - ((15/100) x 26)
Discounted Price = $26 - $3.9
Discounted Price = $22.1
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In the ardmore hotel, 20 percent of the customers pay by american express credit card. (a) of the next 10 customers, what is the probability that none pay by american express? (b) at least two? (c) fewer than three? (d) what is the expected number who pay by american express? (e) find the standard deviation.
a) The probability that none pay by American express is 0.107.
b) The probability of atleast two is 0.8350
c) The probability of fewer than three is 0.1650
d) The expected number who pay by American Express is 4.
e) The Standard deviation is 1.788
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
In the Ardmore Hotel, 20 percent of the customers pay by American Express credit card.
Here,
Mean = μ = np = 20*0.2 = 4
Standard deviation = σ = √(npq) = √(20×0.2×0.8) = √(3.2) = 1.7889
Let A be the event in which they pay by American express.
∴ P(A) = 0.2
∴ The probability that they do not pay by American Express = 1 - P(A)= 0.8.
(a) P(none in 10) = 0.8^10 = 0.10737
(b) At least two:
P(none pay) + P(one pays) + P(at least two pay) = 1
P(at least two) = 1 - [P(none) + P(one pay)
= 1 - [0.10737 + 20C1(0.2)^1*(0.8)^19] = 1 - [0.10737+0.05765] = 0.8350
(c) Fewer than three = P(one) + P(two) = 1- 0.8350 = 0.1650
(d) The expected number who pay by American Express is:
Mean = np = 20*0.2 = 4
(e) Standard deviation:
σ = √(npq) = √(4* 0.8) = √(3.2) = √(1.6*2) = 1.788
Thus,
a) The probability that none pay by American express is 0.107.
b) The probability of atleast two is 0.8350
c) The probability of fewer than three is 0.1650
d) The expected number who pay by American Express is 4.
e) The Standard deviation is 1.788
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Ethan buys a video game on sale. If the video game usually costs $39.99, and it was on sale for 20% off, how much did Ethan pay?
A. $7.99
B. $14.99
C. $31.99
D. $39.74
Answer:
C
Step-by-step explanation:
1. 100% - 20% = 80%
2. 39.99*0.8 = $31.99
hope this helps!!
Segment VU is parallel to segment LM. Find the missing length.
L
M24 U
44
27
24
39
?
11
8
N
Segment VU is parallel to segment LM. The missing length is 16.
What parallel segments are there?If the matching lines formed by two segments are parallel, then the segments are parallel. In other words, two segments are considered to be parallel if they are in the same plane and do not cross even when stretched indefinitely in both directions.
Two line segments are parallel if any pair of matching angles, alternate interior angles, alternate exterior angles, or consecutive interior angles are supplementary. On a coordinate plane, parallel lines have the same slope.
If the matching lines formed by two segments are parallel, then the segments are parallel.
Segment VU is parallel to segment LM. The missing length is 16.
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which expression is equal to (V3+i)^3?
The simplified form of the given expression is (V³+i)³ = V⁹ + 3iV⁶- 3V³ - i.
What is a complex number?A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,
where a, and b are real numbers and i is an imaginary number.
The expression is given in the question as:
(V³+i)³
The expression (V³+i)³ can be simplified using the identity:
(a+b)³ = a³ + 3a²b + 3ab² + b³
Substituting V³ and i for a and b, respectively, and Multiply the real and imaginary numbers gives:
(V³+i)³ = V⁹ + 3V⁶i + 3V³i² + i³
Reduce the imaginary units using the property i² = -1
(V³+i)³ = V⁹ + 3iV⁶- 3V³ - i
This is the final simplified form of the expression.
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WRITE Math Suppose there was 1 centerpiece
for every 5 tables. Use counters to show the ratio of
centerpieces to tables. Then make a table to find the
number of tables if there are 3 centerpieces.
Answer: 15 tables.
Step-by-step explanation:
To show the ratio of centerpieces to tables using counters, we can use 1 blue counter to represent 1 centerpiece and 5 yellow counters to represent 5 tables. The ratio of centerpieces to tables can then be represented as 1:5, or 1/5.
To find the number of tables if there are 3 centerpieces, we can set up the following proportion:
3 centerpieces / 1 centerpiece = X tables / 5 tables
Cross-multiplying this proportion gives us:
3 * 5 tables = 1 centerpiece * X tables
Solving for X gives us the number of tables:
X = 15 tables
Therefore, if there are 3 centerpieces, there are 15 tables.
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $6.50 and each adult ticket sells for $10. The auditorium can hold no more than 140 people. The drama club must make at least $1100 from ticket sales to cover the show's costs. If x represents the number of student tickets sold and y
y represents the number of adult tickets sold, write and solve a system of inequalities (in y= form) graphically and determine one possible solution.
The system of inequalities is 6.50x + 10y ≥ 1100 and x + y ≤ 140.
The graph is attached below
How to plot the graph of the inequalitiesTo plot the system of equations, we can first plot the lines for each equation on the same coordinate plane.
The first inequality is 6.50x + 10y ≥ 1100.
We can rewrite this in slope-intercept form as
y = (-6.50/10)x + (1100/10).
The slope of the line is -6.50/10 = -0.65
And the y-intercept is (1100/10) = 110.
The second inequality is x + y ≤ 140.
We can rewrite this in slope-intercept form as y = (-1/1)x + (140/1).
The slope of the line is -1/1 = -1
And the y-intercept is (140/1) = 140.
We can now plot these lines on the same coordinate plane.
The points of intersection are the solutions to the system of equations.
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6. Make Sense and Persevere Glen compares the rates of
change of two linear functions represented in different forms.
a. For a linear function in the form y = mx + b,
how does Glen determine the rate of change?
b. How can Glen determine the constant rate of change of the linear
function presented in the table on the right? What is the rate of change?
The rate of change of a linear function is determined by the slope of the function and here for y = mx + b the slope is m as the funtion is in Slope intercept form.
What is Slope ?The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Slope indicates that for every unit change in the independent variable, x, the dependent variable will vary by the same amount, b. Slope indicates both direction and steepness. Positive slope causes the line to rise when it goes from left to right. When the slope is negative, the line descends when moving from left to right.
Here,
You may get the slope of the line by determining the rise and the run using two of the line's points. The rise and the run are terms used to describe changes in height between two places. Rise divided by Run gives you the slope. Run = rise + slope Rise + run = slope.
The rate of change of a linear function is determined by the slope of the function and here for y = mx + b the slope is m as the funtion is in Slope intercept form.
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Rewrite 1/14x^3y + 8/14xy^2 using a common factor
Factor the polynomial.
x
y
(
x
2
14
+
8
y
14
)
i pasted this from p01nhub
Consider these functions: what is the value of g(f(2))?
Answer: 31
Step-by-step explanation: I did this before
A company makes wax candles shaped like rectangular prisms. Each candle is 6 cm long, 5 cm wide, and 14 cm tall. If the company used 4620 cm^3 of wax, how many candles did they make?
(04.05 mc) remo needs to buy a countertop for a bathroom. he calculated the area as 10 square feet. the actual area is 9.5 square feet. what is remo's percentage error? (1 point) 0.5% 0.95% 5% 5.26%
The actual value is 9.5. So the percentage error is (0.5 / 9.5) * 100% = 5.26%.
To find the percentage error, we need to divide the difference between the measured value and the actual value by the actual value and multiply by 100%. In this case, the difference between the measured value and the actual value is 10 - 9.5 = 0.5. The actual value is 9.5. So the percentage error is (0.5 / 9.5) * 100% = 5.26%.
The percentage error tells us how much the measured value differs from the actual value as a percentage. In this case, the measured value (10 square feet) is 5.26% larger than the actual value (9.5 square feet).
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Remo's percentage error is 5.26%
In this question we have been given Remo calculated the area as 10 square feet.
And the actual area is 9.5 square feet.
We need to find Remo's percentage error
We know that the formula for the percentage error.
E = (V_o - V_a)/V_a × 100
where V_a is the actual value
V_o is the observed value
E is the percentage error
From given data: calculate area A_o = 10 square feet
actual area A_a = 9.5 square feet
So, Remo's percentage error would be.
E = (A_o - A_a)/A_a × 100
E = [(10 - 9.5)/9.5] × 100
E = 5.26%
Therefore, the percentage error is 5.26%
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Right triangle abc is on a coordinate plane. segment ab is on the line y = 2 and is 6 units long. point c is on the line x = −3. if the area of δabc is 6 square units, then find a possible y-coordinate of point c. 3 4 5 6
Answer:
(b) 4
Step-by-step explanation:
You want the y-coordinate of point C on the line x=-3 so that ∆ABC has area 6 square units with segment AB being 6 units long.
AreaThe formula for the area of a triangle is ...
A = 1/2bh
Given the base of 6 units, and area of 6 square units, we find the height to be ...
6 = 1/2(6)h
6/3 = h = 2
The height of the triangle is 2 units.
CoordinatesPoint C is given as being on the line x=-3. Its y-coordinate must differ from the y-coordinates of A and B by 2 units. Those y-coordinates are 2, so the y-coordinate of C is ...
2 ±2 = {4, 0}
Point C may have a y-coordinate of 0 or 4. The appropriate answer choice is 4.
