LEO is rotated -270 about the point (1,1) Draw the image of this rotation using the interactive graph
Answers
Please find attached the drawing of the image of the triangle ΔLEO following a rotation transformation of -270° about the point (1, 1), created with MS Excel
What is a rotation transformation?A rotation transformation is one in which the points on a geometric figure are rotated or turned about a specified point by a specified amount and direction.
The coordinates of the vertices of the triangle ΔLEO are;
L(-3, 4), E(-5, -3), O(-6, 1)
The relative coordinates of the vertices of the triangle ΔLEO to the (1, 1) are;
Relative coordinates of L ⇒ '(-3 - 1, 4 - 1) = '(-4, 3)
Relative coordinates of E ⇒ '(-5 - 1, -3 - 1), = '(-6, -4)
Relative coordinates of O ⇒ '(-6 - 1, 1 - 1) = '(-7, 0)
The coordinates of a point (x, y), following a rotation of -270° (270° clockwise) is (-y, x)
Therefore, the coordinates of the vertices of the triangle following a rotation of -270° about the point (1, 1), are;
'(-4, 3) → Rotation → ''(-3, -4)
'(-6, -4) → Rotation → ''(4, -6)
'(-7, 0) → Rotation → ''(0, -7)
The coordinates of the vertices relative to the origin are therefore;
''(-3 + 1, -4 + 1) ⇒ L'(-2, -3)
''(4 + 1, -6 + 1) ⇒ E'(5, -5)
''(0 + 1, -7 + 1) ⇒ O'(1, -6)
The coordinates of the vertices of the image of the triangle ΔLEO can be used draw the image using MS Excel, as shown in the attached diagram of the triangle ΔLEO and the image ΔL'E'O'
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Related Questions
A jewelry maker is designing a crown. The crown must have at least 45 gems, only using emeralds, rubies, and diamond the number of diamonds must be 4 less than the number of rubies. Which inequality could the jewelry maker use to find the fewest numbers of emeralds, x, that can be placed on the crown
Answers
Answer:
X is the variable and x means multiplication symbol.
X + (X x 3 - 1) + (X x 3 - 1) - 4) ≥ 45 is the answer I got.
The answer to that inequality would be
X ≥ 7
Step-by-step explanation:
I am not good at math I just tried my best sorr if it is wrong.
Answer:
Diamonds: 20 Emeralds: 1 Rubies: 24
Step-by-step explanation:
45 = Total
Diamonds = 20 (4 less than rubies)
Emeralds = 1 (made into the smallest number)
Rubies = 24 (4 more than diamonds)
Tip! To help find the answer I divided 45 into three groups so the diamonds, emeralds, and rubies all started with 15. I then started to work it into place where diamonds were ALWAYS 4 less than rubies and just kept taking away from emeralds.
<3 Enjoy,
Dea
Help me with this question no explanation needed or just give it to me
Answers
Answer:
Step-by-step explanation:
No explanation is needed because there is no question.
Answer:
you got it
Step-by-step explanation:
no explanation needed
The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable.
Is the relation a function? Explain.
O Yes, because for each input there is exactly one output
Yes, because for each output there is exactly one input
O No, because for each input there is not exactly one output
O No, because for each output there is not exactly one input
Answers
To verify if the relation is a function, it must be verified if from each value of x only one arrow departs.
When does a relation represents a function?A relation represents a function when each input value is mapped to a single output value.
In mapping notation, with the arrows, it must be verified if there is no input from which more than one arrow departs.
Missing Information
The problem is incomplete, hence the general procedure to verify if the relation is a function was presented.
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HELP PLEASE AS SOON AS POSSIBLE WILL GIVE U BRAINLIST
Answers
Answer:
The table represents a nonlinear function because the rate is not constant.
Step-by-step explanation:
As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.
How to write 10 more than a number c is 3
Answers
Answer:
10+c=3
Step-by-step explanation:
because it's math
Solve 3^5x-7=5^4x+3 analytically to get an exact answer (no decimal approximations). Write your answer in terms of base 10 logarithms.
Answers
The solution to the equation 3^5x-7=5^4x+3 is x = -5/191
How to determine the solution to the equation?The equation is given as
3^5x-7=5^4x+3
Evaluate the exponents in the above equation
So, we have
243x - 7 = 625x + 3
Collect the like terms
So, the equation becomes
625x - 243x = -7 - 3
Evaluate the like terms
382x = -10
Divide both sides by 382
x = -10/382
Simplify
x = -5/191
Hence. the solution is x = -5/191
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Find the pairs Express each of the following odd numbers as the sum of three odd prime numbers: () 19 (ii) 35 (iii) 91
i need answer quickly
Answers
Answer:
find odd number???
Step-by-step explanation:
You have $9000 with which to build a rectangular enclosure with fencing. The fencing material costs $30 per meter. You also want to have two partitions across the width of the enclosure, so that there will be three separated spaces in the enclosure. The material for the partitions costs $25 per meter. What is the maximum area you can achieve for the enclosure
Answers
Answer:i explained it
Step-by-step explanation:
The total cost of the fence will be 30(2L + 2W) + 2*25 W <= 9000
60L + 110W <= 9000
60 L <= 9000 - 110W
L <= 150 - 11/6 W
For a given width, the maximum area will correspond to the maximum length, so we can just go ahead and say L = 150 - 11/6 W
A = LW = (150 - 11/6 W) W
A = 150 W - 11/6 W2
A' = 150 - 11/3 W = 0
150 = 11/3 W
W = 450/11
27,813 students took the ACET this year. If only 2,836 students were admitted into the Ateneo among those students, what is the Ateneo’s acceptance rate? a. 7.5% b. 10.2% c. 13.4% d. 9.0%
Answers
If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.
How the rate is determined:The rate is the ratio of one value, expression, measurement, or quantity compared to another.
The rate represents the quotient of the numerator and the denominator.
The rate is expressed as a percentage by multiplication with 100.
The number of students who took the ACET this year = 27,813
The number of students who were admitted into the Ateneo = 2,836
The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)
= 10.2%
Thus, we can conclude that the acceptance rate or percentage is Option B.
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Find the value of x.
Pleasee helppp meee!!!
Answers
Answer:
x = 115°
Step-by-step explanation:
The measure of angle inside a circle = ½ of the measure of the sum of the intercepted arcs
Thus:
x = ½(arc CD + arc AB)
x = ½(145 + 85)
x = ½(230)
x = 115°
Im doing my math homework and i need helpp
Answers
the power tells you how many times the base is multiplied.
1) 3^4 = 3 x 3 x 3 x 3
= 81
stephine puts 30 cubes in a box.the cubes are 1/2 inch on each side.the box holds 2 layers with 15 cubes in each layer.what is the volume of the box
Answers
The Volume of the box is 3.75in³
Volume of a cubeThe volume of the box is dependent on the volume of the cube in it.
To obtain the volume of a cube, we use the relation, V = s³
s = side of the cube
For each cubeVolume = 0.5³ = 0.125 in³
Number of cubes in box = 30
Volume of the boxVolume of each cube × Number of cubes
0.125 × 30 = 3.75 in³
Hence, the volume of the box is 3.75in³
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10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
Answers
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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What is 9 divided by 4 with a remainder?
Answers
Answer:
2 with a remainder of 1
Step-by-step explanation:
9 is not evenly divisible by four so the answer has a remainder of 1.
Hope this helps!
The division of 9 by 4 gives the remainder is 1.
What is Division?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical process used for equitable grouping and distribution.
We have to divide 9 by 4.
So, the division is
4 | 9 | 2
8
______
1
Here, Quotient = 2 and Remainder = 1.
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which integer is closet to 0 ?-749-9(don’t need explanation)
Answers
From the options gave:
-7 is 7 units far from 0
4 is 4 units far from 0
9 and -9 are both 9 units far from 0
So the closes to 0 is 4.
what is 30 x 45 x 34 x89
Answers
Answer:
Step-by-step explanation:
A portfolio manager generates a 5% return in Year 1, a 12% return in Year 2, a negative 6% return in Year 3, and a return of 2% (nonannualized) in the first quarter in Year 4. The annualized return for the entire period is the closest to __________.
Answers
The annualized return for the entire period is the closest to 10.5%.
To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.
The formula for calculating the geometric mean return is:
Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1
Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.
Given the returns:
Year 1 return: 5% or 0.05
Year 2 return: 12% or 0.12
Year 3 return: -6% or -0.06
First quarter of Year 4 return: 2% or 0.02
Using the formula, we can calculate the annualized return:
Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1
Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1
Annualized Return = 1.121485^(1/3) - 1
Annualized Return ≈ 0.105 or 10.5%
Therefore, the annualized return for the entire period is approximately 10.5%.
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A rectangular field is enclosed by 600 feet of fencing what is the length and feet of the field if it's length is 10 ft more than it's width
Answers
Answer:
155 feet
Step-by-step explanation:
600 - 20= 580.
subtract 20 for the two sides of the field that are 10 feet longer than the other two sides
divided 580 by 4 to to get the length of each side of the feild (145 feet) then add 10 feel to get the length 155 feet
The length of the Rectangular field is 155 feet.
What is rectangular?A rectangle is "2D shape that has 4 sides, 4 corners and 4 right angles".
According to the question,
A rectangular field is enclosed by 600 feet of fencing. The length and feet of the field is 10ft more than field's width. so, subtract 20 feet from 600 feet.
600 - 20 = 580 feet
By definition of the rectangular, it has '4 sides' to get length of each sides of rectangular field divide 580 by 4 then we get each sides of rectangle.
\(\frac{580}{4}\) = 125 feet.
Now, we have length of each side of the field is 145 feet. But in given question 'length of the rectangular field is 10 feet more than it's width'. So, add 10 feet to the rectangular field.
145 + 10 = 155 feet.
Hence, The length of the Rectangular field is 155 feet.
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Write this ratio as a fraction in simplest form without any units 30 days to 6 weeks
Answers
Answer:
5:7
Step-by-step explanation:
30:6 ==> 30/6 = 5
30 days: 6 weeks ==> 5 days: 1 week
Since there are 7 days in a week:
5 days: 1 week ==> 5 days: 7 days ==> 5:7
Which of the following are factor pairs for 54?select all that apply.
Answers
Answer:
The Pair Factors of 54 are (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime Factors are 1, 2, 3, 6, 9, 18, 27, 54.
Step-by-step explanation:
hope this helped:)
brainliest for the brains........................
The Pair Factors of 54 are (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime Factors are 1, 2, 3, 6, 9, 18, 27, 54.
Here, we have,
The factors of 54 are the numbers, that can divide 54 completely or evenly. When a pair of factors are multiplied together to produce the 54, then they are said to be pair factors. The factors divide the number completely. Hence, these factors cannot be a fraction.
Factors of 54: 1,2,3,6,9,18,27 and 54
Factor pairs of the number 54 are the whole numbers which are not a fraction or decimal number.
To find the factors of a number, 54, we will use the factorization method.
To find factors of 54, we have to divide 54 by all natural numbers from 1 to 54.
54 ÷ 1 = 54
54 ÷ 2 = 27
54 ÷ 3 = 18
54 ÷ 6 = 9
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Calvin and Jamel each havr cats as pets. Calvin buys cat food in cylindrical can that are 6 centimeters in diameter and 12 centimeters high. Jamel buys cat food in cylindrical can that 12 centimeters in diameter and 6 centimeters high. What is the ratio of the volume of one of Calvin's cans of to the volume of one of Jamel's cans?
Answers
Answer:
see below
Step-by-step explanation:
CALVIN
v=\(\pi\)× r ² × h
v=3.14 × 3² × 12
v=3.14×9 × 12
v=3.14 × 108
v = 339.12
JAMEL
v=\(\pi\) × r ²×h
v=3.14× 6 ² × 6
v=3.14 × 36×6
v=3.14×216
v=678.24
HELP this question is real hard
Answers
Answer:
lol
Step-by-step explanation:
lol
The plot below shows the amount of time Mira spent on
5
55 math problems.
All measurements are rounded to the nearest
1
4
4
1
start fraction, 1, divided by, 4, end fraction minute.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten. An unlabeled tick mark appears between each labeled tick mark. Dots are plotted as follows: 2 dots above the unlabeled tick mark between eight and eight and a half and 3 dots above nine and a half.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten.
If Mira had spent the same total amount of time, but spent an equal amount of time on each problem, how many minutes would each problem have taken?
Answers
If Mira had spent the same total amount of time but an equal amount of time on each problem, each problem would have taken around 2.36 minutes.
In the given plot, Mira spent varying amounts of time on each of the 55 math problems. To find out how many minutes each problem would have taken if Mira had spent an equal amount of time on each problem, we need to calculate the total time she spent and divide it by the number of problems.
Looking at the plot, we can estimate the total time Mira spent by counting the dots above each tick mark and multiplying them by the corresponding time interval. Let's break it down step by step:
The tick marks on the plot are at 7, 7.5, 8, 8.5, 9, 9.5, and 10 minutes per problem.
There are 2 dots above the unlabeled tick mark between 8 and 8.5 minutes per problem. We can assume it represents 8.25 minutes.
There are 3 dots above the 9.5 minutes per problem tick mark.
Now, let's calculate the total time Mira spent:
(7 * 2) + (7.5 * 2) + (8 * 2) + (8.25 * 2) + (9 * 2) + (9.5 * 3) + (10 * 2) = 129.5 minutes.
Since Mira spent a total of 129.5 minutes on 55 problems, each problem would have taken approximately 2.36 minutes (rounded to two decimal places) if she had spent an equal amount of time on each problem.
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11. Which one of the following is unique? b. mode a. Mean c. Median d. A and B
Answers
Among the mean, mode, and median, the unique one is the b. mode.
What is the mode?The mode is the data value that occurs many times more than other data values.
Unlike the mean that shows the average value of all the data values, the mode occurs more. While we compute the mean by dividing the total data value by the number of data items, the mode is not computed but found as the most frequent data value.
Similarly, the median can be computed when two values occur as the middle values.
Thus, among the three measures of central tendency, the mean, the median, and the mode, the mode is the most unique since it is not computed.
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7. Kristen has $500 in her bank account. Last month
she made a deposit of $75 and a withdrawal of
a
$125. This month she made a withdrawal of $100.
She would like to have $700 in her account at the
end of this month. (4 points)
Calculate the amount of money she has in her
account after the withdrawal of $100 and explain
how you found the answer. Then, calculate how
much money she needs to deposit in order to have a
balance of $700 and explain how you found the
answer.
Answers
It’s a simple calculation where for the first question you will need to add the money going into her account and the money in the account then subtract the withdrawal from the sum you got
Then for question 2 you will subtract the money remaining in her account after the withdrawal from the amount she desires to have by the end of the month …the result will give you how much she needs to deposit till then
sue eats 3/8 of a cherry pie. Jan
eats
Answers
Answer:
If you're saying Jan ate 1/4 of what was left. How much of the pie did Jan eat?
then the answer is 5/32
Step-by-step explanation:
Should i take basic maths in class 11 when i haven't taken optional math in class 9(in nepal) Please be true and i dont want some useless answers
Answers
Rotation 90° counterclockwise around the origin of the point (-8,1)
Answers
which choice correctly expresses the number below in scientific notation?
0.000611
Answers
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
6.11/104
Solve for P: 32 = 4 P - 20
Answers
Answer:
p = 13
Step-by-step explanation:
32 = 4p - 20
First, take 20 to the left side.
32 + 20 = 4p
52 = 4p
Now divide both sides by 4.
13 = p