Any 1 of the following transformations will work. There are others that are also possible.
translation up 4 units, followed by rotation CCW by 90°.
rotation CCW by 90°, followed by translation left 4 units.
rotation CCW 90° about the center (-2, -2).
Step-by-step explanation:
The order of vertices ABC is clockwise, as is the order of vertices A'B'C'. Thus, if reflection is involved, there are two (or some other even number of) reflections.
The orientation of line CA is to the east. The orientation of line C'A' is to the north, so the figure has been rotated 90° CCW. In general, such rotation can be accomplished by a single transformation about a suitably chosen center. Here, we're told there is a sequence of transformations involved, so a single rotation is probably not of interest.
If we rotate the figure 90° CCW, we find it ends up 4 units east of the final position. So, one possible transformation is 90° CCW + translation left 4 units.
If we rotate the final figure 90° CW, we find it ends up 4 units north of the starting position. So, another possible transformation is translation up 4 units + rotation 90° CCW.
Of course, rotation 90° CCW in either case is the same as rotation 270° CW.
_____
Answer:
In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation i2 = −1; every complex number can be expressed in the form a + bi, where a and b are real numbers. Because no real number satisfies the above equation, i was called an imaginary number by René Descartes. For the complex number a + bi, a is called the real part and b is called the imaginary part. The set of complex numbers is denoted by either of the symbols {\displaystyle \mathbb {C} }\mathbb {C} or C. Despite the historical nomenclature "imaginary", complex numbers are regarded in the mathematical sciences as just as "real" as the real numbers and are fundamental in many aspects of the scientific description of the natural world.[1][a]
Step-by-step explanation:
write the value of this expression as a fraction 14/33 x 55/8 x 12/35
Answer: 1
Step-by-step explanation:
[tex]\displaystyle\\\frac{14}{33} *\frac{55}{8} *\frac{12}{35} =\\\\\frac{14*55*12}{33*8*35}=\\\\\frac{2*7*5*11*3*4}{3*11*2*4*5*7}=\\\\\frac{1}{1}=\\\\1[/tex]
Cynthia Besch wants to buy a rug for a room that is 23 ft wide
and 33 ft long. She wants to leave a uniform strip of floor around
the rug. She can afford to buy 651 square feet of carpeting.
What dimensions should the rug have?
Answer:
21 feet wide and 31 feet long
Step-by-step explanation:
4/24 = 1/? denominator=
Classify the polynomial by degree and number of terms
v4 - 3v² +5v + 10
−4⋅(45)(−1)
What is the product?
answer: 180
first I multiplied -4 with 45, which gave me -180, then I made 180 positive by multiplying it with -1
Help with my math !!
Answer: 3rd down :D
Step-by-step explanation:
This is because the problem is asking for Q to be in the middle of B and N and the only answer that applys to this is 3 :D.
greatest to least,
7.
1
33,34,3
3 17
20' 5
3.
The numbers arranged in decreasing order from greatest to least is given by 133 , 53 ,34 ,33 ,20 ,17 ,7 .
Decremental Order When numbers (or other items) are arranged from largest to smallest, this is known as decreasing order.
This is called the sorting of numbers. When various data are given then we can sort the number s accordingly.Numbers can be sorted in the increasing order or decreasing order.Increasing order is sorting from lowest to greatest.Given numbers are 7, 133 , 34, 33 ,17, 20 , 53.
From looking at the numbers to arrange them in decreasing order we can see that 133 is the greatest of the numbers , so it will come first.
Then comes 53 which is the second highest number , then comes 34 the third highest number and so on unless we get the least number which is 7.
Hence the given numbers are arranged greatest to least:
133, 53, 34, 33, 20, 17.
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The number 3465 is divisible by 11 and 5. Given that you change the position of two or more of these four digits, how many of the resulting numbers are divisible by 11 but not by 5?
Answer:
Divisible rule of 11
If the number of digits of a number is even, then add the first digit and subtract the last digit from the rest of the number
Divisible rule of 5
Divisibility by 5 is easily determined by checking the last digit in the number. If the last number is either 0 or 5, the entire number is divisible by 5.
First of all, the number 3456 is not divisible by 11 and 5.
But if we change position of digits then the numbers divisible by 11 are-
3564 / 11= 324
3465 / 11= 315
3465 / 5= 693
4356 / 11 = 396
4653 / 11 = 423
5346 / 11 = 486
5643 / 11 = 513
6534 / 11 = 594
6435 / 11 = 585
6435 / 5=1287
But the numbers 3465 and 6435 are also divisible by 5
So the numbers divisible by 11 but not with 5 are:
3564 , 4356, 4653, 5346, 5643 and 6534
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Question content area the calculation for annual depreciation using the units-of-output method is:________
Content area the calculation for annual depreciation using the units-of-output method is yearly output.
What are the output method's units?
The productive output, units of production, or units of activity methods are other names for the units of output approach. Depreciation is computed based on the output of the equipment over a given period of time, taking into account the equipment's anticipated lifetime output units.What is the annual depreciation formula?
The formula for calculating the annual depreciation rate is (100 x Number of Periods in Year)/Number of Periods in Expected Life. The formula annual depreciation rate/number of periods in the year is used to determine the amount of depreciation for each period.Learn more about yearly output.
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SOH CAH TOA
I don't understand this stuff I have a test coming up can someone pls help me with this i am stuck
I'll help with the question at the bottom of the page. The rest are unfortunately too blurry.
The x is the adjacent side to the reference angle. The 7 is the hypotenuse. The hypotenuse is always opposite the 90 degree angle.
Let's use the trig ratio cosine.
cos(angle) = adjacent/hypotenuse
cos(39) = x/7
7*cos(39) = x
x = 7*cos(39)
x = 5.44002 which is approximate
x = 5.4
Make sure your calculator is in degree mode.
Solve for y.
23 +18y=-21 + 14y
Simplify your answer as much as possible.
y =
Answer:
y = -11
Step-by-step explanation:
23 + 18y = -21 + 14y
Combine like terms
18y - 14y = -21 -23
Do the math
4y = -44
Divide both sides by 4
y = -11
There are 3 less than twice as many cats than dogs in the local animal shelter. If there are 210 cats and dogs
combined, how many dogs are in the animal shelter?
71 dogs
70 dogs
76 dogs
80 dogs
Answer: 71 dogs ==> 1st option
Step-by-step explanation:
c=cats. d=dogs.
2d-3=c
d+c=210
d+2d-3=210
3d-3=210
3d=213
d=71 dogs ==> 1st option
A particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s. find its displacement during this time interval. answer in units of m\
For a particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s, the displacement is -11.53 m
For given question,
A particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s.
We can observe that, for t1 = 1.82 s and t2 = 3.81 s
object is moving from right to left along the x axis.
We know that, the displacement of a particle moving in a straight line is the change in its position.
so, d = 4.97 - 16.5
d = -11.53
The negative sign indicates that the object is moving from right to left along the x axis for t1 = 1.82 s and t2 = 3.81 s
Therefore, for a particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s, the displacement is -11.53m.
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Which expression shows the prime factorization of 36? O2×2×3 O 2×3×3 O 2×2×2×3×3 O 2×2× 3x3
Answer:
Prime Factorization is 2x2x3x3 also can be written as [tex]2^2x3^2[/tex]
Step-by-step explanation:
Take Lcm Of 36 (Lowest Divisible)
2 | 36
2 | 18 -> Prime Factorization is 2x2x3x3 also can be written as [tex]2^2x3^2[/tex]
3 | 3
3 | 3
| 1
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Write the equation that represents the line use exact numbers
Answer:
y= 6/5 x -5
Step-by-step explanation:
You have 2 points. (0,-5) and (5,1)
If you use the formula Y2-Y1 / X2-X1,
you will have 1 - (-5) on the numerator, which equals 6
you will have 5 - 0 in the denominator, which equals 5
6/5 is your slope, and the point on the y-intercept is what you put at the end of the equation.
(-0.216) - (-87.1) please solve within 5 mins
Answer: I believe the answer is 86.884
Step-by-step explanation:
i need help and im so tired PLSSSS
Answer:
60 ft^2
Step-by-step explanation:
The cubed root of 125 is 5 because (5x5x5) = 125 and there are 12 cubicles so multiply 12 times 5 and that equals the length of 1 row, 60 ft^2.
2x24 equals 2x. x6 whats the answer
Which sequences are arithmetic
-5,5,-5,5…
96,48,24,12,6
18,5.5,-7,-19.5,-32
-1,-3,-9,-27,-81
16,32,48,64,80
Check all that apply
The option for sequences are arithmetic are:
18,5.5, –7, –19.5, –3216, 32, 48, 64, 80.How can the sequence of arithmetic be calculated?
From the first option we can see that -5,5,-5,5… dose not follow any sequence of arithmetic.
if we take the 18,5.5, –7, –19.5, which are the digits from the second option and if we find their differences we will get 12.5
Then if we take the numbers from the 16, 32, 48, 64 and find the differences between the first two numbers as well as the last two numbers then we will have 16.
Therefore, since we can have constant results between consecutive numbers then it is sequence of arithmetic.
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Two similar bottles are shown.
The smaller bottle can hold 500 ml of water. How much water can the larger bottle hold? + 2³ 15 cm 主要 66% E 21 cm
The larger bottle holds a 700ml volume of water.
What is volume?
Volume is a measure of enthralled three-dimensional space. It's frequently quantified numerically using SI-deduced units or by colorful Homeric units. The description of length is interrelated with volume. Volume is the volume of three-dimensional space enthralled by a liquid, solid, or gas. Common units used to express volume include liters, boxy measures, gallons, milliliters, ladles, and ounces, however, numerous other units live. In mathematics,' Volume' is a fine volume that shows the quantum of three-dimensional space enthralled by an object or an unrestricted face.Two(2) bottles given in the pic are similar(no difference)
Therefore, the volume/cm height of both(2) bottles will proportional
By using the proportionality rule, [tex]\frac{15}{500} =\frac{21}{x}[/tex]
x = 700ml(seven hundred)
Hence, the correct answer is 700ml.
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use mathematical symbols to write 3 different expressions to represent three groups of five
The different expressions to represent three groups of five are 3 * 5, 5 + 5 + 5 and 3 + 3 + 3 + 3 + 3
How to write different expressions to represent three groups of five?The mathematical statement is given as:
three groups of five
The statement three groups of five means
Three multiplied by 5
i.e. 3 * 5
This can also be written as
5 + 5 + 5
Also, it can be expressed as
3 + 3 + 3 + 3 + 3
Hence, the different expressions to represent three groups of five are 3 * 5, 5 + 5 + 5 and 3 + 3 + 3 + 3 + 3
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The distance between points A and B is 120 km. A cyclist went from A to B. After 1 hour, the second cyclist went from B to A, whose speed is 2 km/h higher. They met each other in the middle of the road. Find the speed of the cyclist leaving A.
Answer: 120km/hr
He went from A to B in 1 hour
What is the pattern of these numbers 8, 7, 5, 2?
Answer: The pattern is that you -1 then -2 then -3.
Step-by-step explanation:
If you got 9, 8, 6, 3. You would be subtracting 1 then 2 then 3 then 4 then on and on.
Abby ad brenda had total 190.4 kg rice. after abby gave brenda 64.5kg rice, brenda had 6 times as much as abby. how much rice did abby had at first
Abby has 36.4 kg rice at first.
Here,
Abby and Brenda had total 190.4 kg rice.
After Abby gave Brenda 64.5kg rice, Brenda had 6 times as much as Abby.
We have to find amount of rice at first.
What is Total amount?
A total is whole or complete amount, and to total is to add numbers or to destroy something.
Now,
Abby and Brenda had total 190.4 kg rice.
Let amount of rice Abby has = x kg
Let amount of rice Brenda has = y kg
x + y = 190.4 kg .....(i)
Abby gave Brenda 64.5kg rice, Brenda had 6 times as much as Abby.
64.5 + y = 6x
6x - y = 64.5 .....(ii)
From equation (i) and (ii) we get;
x = 36.4
Hence, Abby has 36.4 kg rice at first.
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PLEASE HELP
i don’t understand geometry that well and i need to get this in soon
Step-by-step explanation:
Take Reference of Z-angle forward and backward and X-Angle if none are in this category then write none.
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Please help me!!! I need help asap on this question Whoever is correct will get brainly!
Answer:
I am not 100% sure more like 12% sure that it is c
Step-by-step explanation:
Given f(-3) = -30 for some polynomial, what factor can f(x) be divided by that will result in a remainder of -30?
Answer:If you can spot a factor of
f(x)
then you can use synthetic division to divide by that factor to give a simpler polynomial to factor.
Step-by-step explanation:
Find the difference between simple interest and annual compound interest on Rs 9,600 for 2 yers at the rate of 5 % per annum.
Answer:
Rs 984
Step-by-step explanation:
Principal (P) = Rs 9,600
Time (T) = 2 years
Rate (R) = 5%
Simple Interest (SI) = [tex]\frac{PTR}{100}[/tex]
SI = [tex]\frac{9600*2*5}{100}[/tex]
SI = [tex]\frac{9600}{10} = Rs 960[/tex]
Compound Interest (CI) = 9600 * [tex]\frac{41}{100} = 24*41 = Rs 984[/tex]
find measure of MK in the image below
Answer:
ok is the corr!ctewwwdeeecceeeeecrrr\g
1. a bank offers a cd that pays a simple interest rate of 7.5%. how much money in dollars must you put in this cd in dollars now in order to have $5,000 in 3 years?
The money in dollars that must be put in this cd in order to have $5,000 in 3 years is $4,081.63
The formula for simple interest and procedure we will use to solve this exercise is:
A = P {1 + [(R/100) * T]}
Where:
P = principalR = rate of interest in % per annumT = timeA = amountInformation about the problem:
P = ?R = 7.5%T = 3 yearsA = $5,000Applying the simple interest formula and isolating the principal (P), we get:
A = P {1 + [(R/100) * T]}
$5,000 = P {1+[(7.5/100) * 3]}
$5,000 = P [1+(0.075*3)]
$5,000 = P (1+0.225)
$5,000 = P (1.225)
P = $5,000/ 1.225
P = $4,081.63
What is simple interest?It is the operation in which we calculate the profit produced by a capital loaned at a given percentage.
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