Answers
Answer:
rotate CCW 90°dilate by a factor of 2Step-by-step explanation:
First of all, we need to discover the relation Figure B has to Figure A.
Figure B has dimensions that are twice those of Figure A, so a dilation by a scale factor of 2 will be required. The "points" of figure A are on its "south" side, while those of figure B are on its "east" side. Rotation 90° CCW will be involved.
If we consider just these two transformations, we find that they are sufficient to map A to B without any additional translation. Since both transformations use the origin as a reference, their order does not matter.
__
Rotating figure A by 90° CCW moves the vertex of its "notch" from (2, 2) to (-2, 2). Dilating the rotated fibure by a factor of 2 moves its "notch" vertex to (-4, 4), as shown in Figure B.
A suitable sequence of transformations is ...
Rotation 90° CCWDilation by a factor of 2 about the originThese can be done in either order.
_____
Additional comment
The transformations are ...
(x, y) ⇒ (-y, x) . . . . . . rotation 90° CCW
(x, y) ⇒ (2x, 2y) . . . . dilation by a factor of 2
The composition of these transformations is ...
(x, y) ⇒ (-2y, 2x)
Answer:
dilate by a factor of 2
rotate CCW 90°
Related Questions
A student needed to find the measure of angle b. She incorrectly said m
Answers
It’s a right angle, so 90-63=27!!!!!
The angle is right, so 90-63=27
i need help with my math
Answers
Answer:
19 yards squared
Step-by-step explanation:
3x5=15
2x2=4
15+4=19
A circular hot spring has a diameter of 96 meters. Over time, the diameter of the spring decreases by 8 meters. By how many square meters does the area of the hot spring decrease? Use 3.14 for pi
Answers
Answer:
The area decreases by 1155.52 square meters
Step-by-step explanation:
What we must do is calculate the area before and after making the diameter cut.
The area of a circle is equal to:
a = pi * r ^ 2
now the diameter is equal to:
d = 2 * r
therefore r,
r = d / 2
before the cut would be
r = 96/2
r = 48
replacing in the area formula
a1 = 3.14 * 48 ^ 2
a1 = 7234.56 square meters.
after cutting the diameter decreases by 8, that is, 96 - 8 = 88, calculating the radius would be:
r = 88/2
r = 44
now calculating the new area would be:
a2 = 3.14 * 44 ^ 2
a2 = 6079.04 square meters.
now we calculate the difference
a1 - a2 = 7234.56 - 6079.04
= 1155.52 square meters
means that the area decreases by 1155.52 square meters
Match the given areas with the correct figure. All areas have been rounded to the nearest number.
Answers
Answer:
Read Explanation
Step-by-step explanation:
I will go in order from left to right on the top row, then go down to the bottom row and go from left to right. (btw most of these are just cutting shapes into smaller pieces)
1st shape:(40)+(40)+(5*4=20/2=10)
80+10=90cm
2nd shape:36+60=96cm
3rd shape: 56+(4*8/2) 56+16=72cm
4th shape: 12+55+5= 12+60=72 cm
5th shape:4+88=92 cm
6th shape:68 as it is the last option
What is the interquartile range of this data set? Enter your answer in the box
Answers
From the stem and leaf plot, we get the following data points-
10, 23, 23, 28, 33, 45, 80, 90
First of all, the data should be arranged in the ascending order. The given data is already in the ascending order, so we can proceed directly.
The formula that is used to calculate the IQR is Q3-Q1, which is the difference between the third and the first quartile of the given data.
Now we need to find the median for the data given for the second quartile. Median is the average of the two central values- 28 & 33.
Hence we get Q2 = (28 + 33) / 2 = 30.5.
Now we find the median for Q1, which is the median of the lower part of the given data which is 10, 23, 23, & 28. (23 + 23) / 2 = 23.
Similarly, for Q3, which is the upper part- 33, 45, 80, and 90. We get (45 + 80) / 2 = 62.5.
Now we should subtract Q1 from Q3: Q3 - Q1 = 62.5 - 23 = 39.5.
So, the interquartile range is 39.5.
Here's a similar problem you can try to solve-
https://brainly.com/question/29173399?referrer=searchResults
A spinner is divided into 11 equal sections numbered from 0 to 10. You spin the spinner once. What is P(even)
Answers
Answer:
[tex]p(even)= \frac{6}{11}[/tex]
Step-by-step explanation:
It's given in the question that;
The spinner is divided into 11 equal sections from 0 to 10.
You spin the spinner ONCE!
The total number of possibilities is six, and the total number of sample spaces is 11.
So the probability of getting an even number is; [tex]p(even)= \frac{6}{11}[/tex]
I hope this helps!
The area of Russia is about 1.71 x 107 square kilometers. The area of Jamaica is about 1.10 x 104 square miles. How many times larger is Russia than Jamaica? Write your answer in scientific notation, and round the decimal part of your answer to two decimal places.
Answers
Answer:
2 x 10^3 times
Step-by-step explanation:
-lukelaws
I hope I helped if I did please mark me brainliest!
EDIT: NOT MAX POINTS REMAKING QUESITON
Answers
Answer:
:what is the question
18/10 more than a number of x is equal to 29/5
Answers
The value of [tex]x[/tex] such that [tex]\dfrac{18}{10}[/tex] more than a number of [tex]x[/tex] is equal to [tex]\dfrac{29}{5}[/tex] is [tex]4[/tex].
Draft a linear mathematical equation from the given data and solve the same to determine the value of [tex]x[/tex].
Solution
According to the question,
[tex]x+\dfrac{18}{10}=\dfrac{29}{5}\\x=\dfrac{29}{5}-\dfrac{18}{10}\\x=\dfrac{29-9}{5}\\x=4[/tex]
As a result, the value of [tex]x[/tex] is [tex]4[/tex].
Learn more about Linear equations here- https://brainly.com/question/15389595?referrer=searchResults
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An inspector at a shirt factory randomly selects shirts to inspect for defects. The table below shows the number of shirts she found with defects last week.
Based on this information, which of these is the best estimate of the probability that the next shirt she inspects will have a defect?
PLEASE HELP GIVING ALL MY POINTS AND BRAINLIST
A.
10%
B.
11%
C.
12%
D.
22%
Answers
Answer:
The answer is B
Step-by-step explanation:
find the average of how many she inspected every day:
(30+35+40+45+50) / 5 = 40
(6+4+4+5+3) / 5 = 4.4
so on average, she inspected 40 shirts a day and found (technically) 4.4 defects
so to find the percentage we do this:
4.4/40 * 100 = 11%
so the answer is B
The line plot below shows the heights of flowers grown by the students in one of the fifth grade classes. Persia makes a flower arrangement using the 8 longest flowers.
Which is the combined height of the flowers Persia uses?
A. 59 3/4 inches
B. 61 1/2 inches
C. 62 1/4 inches
D. 63 1/4 inches
Answers
The combined height of the flowers Persia uses will be 61 1/4 inches. Then the correct option is C.
How does the dot plot work?Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.
The line plot below shows the heights of flowers grown by the students in one of the fifth-grade classes. Persia makes a flower arrangement using the 8 longest flowers.
Then the combined height of the flowers Persia uses will be
→ 6.5 + 6.75 + 7 + 7.25 + 7.5 + 7.75 + 8.5 + 10
→ 61.25
The number 61.25 can be written as
→ 61 and 1/4 inches
More about the dot plot link is given below.
https://brainly.com/question/22746300
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A small cruise ship has 220 passengers. At the Port of San Juan, 2 groups of 12 passengers go ashore to shop and 5 groups of 6 passengers go sightseeing. Evaluate 220 - (2 x 12) - (5 X 6) to find the number of passengers that are left on the ship. -
Answers
Answer:
166
Step-by-step explanation:
Do the parathisis first
(2x12)=24
(5x6)=30
Then do
220-24-30=166
Answer:
166
Step-by-step explanation:
GIVING BRAINLIEST AND 100 POINTS!!!
Complete the pattern on the table for the cost of 0, 1, 2, and 3 ice cream treats. Then write the ordered pair for each row.
Answers
Answer:
I need the table, if you give the table ill answer it right away.
Step-by-step explanation:
Which of these is a pair of adjacent angles?
Answers
Answer:
C.
Step-by-step explanation:
The committee spends $640 dollars on spotlights.
Create an equation that can be used to find x, the number of spotlights the committee rented.
Answers
Answer:
32 spot light
Step-by-step explanation:
lets say each spot light was 20$ the answer would be 32 cuz 32 x 20 = 640 so our equation would be 640 ÷ 20 = x and x = 32
The cafeteria at Midtown Middle School surveyed 575 students about their favorite food. Find the number of students that responded for each of the following. Show your work.
chicken: 8%
salad: 20%
burgers: 16%
fruit:24%
Answers
Answer:
chicken:46
salad: 115
burgers: 92
fruit:138
Step-by-step explanation:
chicken: 575*8%=46
salad: 575*20%=115
burgers: 575* 16% =92
fruit:575*24%=138
Therefore when
575 —> 100%
X—> 8%
Then you cross multiply, 100x= 575x8
X= (575x8)/100.
That’s the mount of students for chicken :) continue this system to get the other values, hope this helped <3
In ABC, m
In XYZ, m
Include in Your Answer:
What is m
What is m
Is it possible for these two triangles to be similar? Why or why not?
Answers
Answer:
Angle C= 79 degrees
Angle X= 62 degrees
Yes, the two triangles are similar because all the angles are congruent. The requirement for two triangles to be similar is if two corresponding angles are equal.
Step-by-step explanation:
A triangle is 180 degrees.
So adding the angles of triangle ABC, 62+39=101
180-101=79, so angle c is 79 degrees
Adding the angles of triangle XYZ, 39+79=118
180-118=62, so angle x is 62 degrees
Answer:
Angle C= 79 degrees
Angle X= 62 degrees
Step-by-step explanation:
Find the measure of angle six
Answers
If you see an angle that makes a perfect L shape/ looks like the corner of a square it is a right angle which is always 90°
If you see a straight line with no bend in it then it is 180°
A bag contains 7 green marbles, 9 red marbles, 10 orange marbles, 5 brown marbles, and 10 blue marbles. You choose a marble, replace it, and choose again. What is P(red, then blue)?
Answers
Answer:
9/41+10/41 which is 19/41
Step-by-step explanation:
If its right, mark me as brainliest
July bought 16 quarts of vinegar for $10.40. How much did she pay for 1 quart of vinegar?
Answers
Answer:
1.53$
Step-by-step explanation:
Do the equation 16 / 10.40 = 1.53.
pls give brainliest
The following shape has 1 pair of parallel sides.
What is the area of the shape?
Answers
Answer:
57
Step-by-step explanation:
There's three shapes, 2 triangles and 1 rectangle.
1. To find the area of a rectangle multiply the legth x width, so 5*2, which is 10.
2. To find the area of a traingle multiply the length and width, and then divide that by two. For the smaller triangle do 6*5, which is 30, and divide that by 2 for 15.
3. The big triangle shows the length of one side but not on the other. Because the length of the rectangle is the same on both sides, and the length 3 and 5 are on the same line, the other length of the large triangle is 8.
4. 8*8 is 64, and dividing that by 2 is 32.
5. Add all of the numbers: 10+15+32, which is 57.
The area of a 2D form is the amount of space within its perimeter. The total area of the given figure is 57 inches².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Let the given figure be divided into three parts. Such that the triangle on the left side or the bigger triangle is represented by A and the triangle on the right side of the smaller triangle is represented by B. The area of the given shape can be written as,
Area of triangle A = 1/2 × Height of triangle A × Base of the triangle A = 1/2 × 8 inches × 8 inches
= 32 inches²
Area of rectangle = Length × Breadth
= 5 inches × 2 inches
= 10 inches²
Area of triangle B = 1/2 × Height of triangle B × Base of the triangle B = 1/2 × 5 inches × 6 inches
= 15 inches²
Further, the total area of the shape can be written as,
Total area = 32 inches² + 10 inches² + 15 inches²
= 57 inches²
Hence, the total area of the given figure is 57 inches².
Learn more about the Area here:
https://brainly.com/question/1631786
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Devon studied 2 pieces by each modern artist featured in the museum. Each artist has the same number of works in the museum.
Is this sample of the work of the museum's modern artists likely to be biased?
Answer Yes or No
Answers
find the value of x in the equation without evaluating the power
Answers
Answer:
4
Step-by-step explanation:
Here's my method of doing this:
We'll be using logarithms
Our question is:
[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex]\frac{1}{729}[/tex]
If we don't want to evaluate any powers at all we'll have to make each term have the same base (so that we can ignore the base — [tex]\frac{1}{3}[/tex])
we need to figure out what power of a [tex]\frac{1}{3}[/tex] the [tex]\frac{1}{729}[/tex] is.
what we can do is the following:
[tex](\frac{1}{3})^?[/tex] = [tex]\frac{1}{729}[/tex]
[tex]3^?[/tex] = 729
If we take the "log" of each, we can find out what power of 3 gives 729.[tex]log(3^?) = log\ 729[/tex]
We must remember this rule: [tex]log(a^n) = n \times log(a)[/tex]
[tex]? \times log 3 = log 729[/tex]
[tex]? = \frac{log\ 729}{log\ 3}[/tex]
? = 6 (with a calculator)
This means that to get 729, we need to do [tex]3^6[/tex]
Therefore [tex](\frac{1}{3})^6 = \frac{1}{729}[/tex]
We can now solve the equation!
[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex]\frac{1}{729}[/tex]
[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex](\frac{1}{3})^6[/tex]
Since each term of our equation has the same base of [tex]\frac{1}{3}[/tex] we can ignore it and just deal with the powers!
We must remember this rule: [tex]x^a \times x^b = x^{a + b}[/tex]
Using this rule:
[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex](\frac{1}{3})^6[/tex] becomes...
[tex]2 + x = 6[/tex]
[tex]x = 6 - 2 = 4[/tex]
What is spark addition?
Answers
Answer:
spark addition is a left to right addition
. A pedestal is built using a trapezoid-shaped base. Find the area of the trapezoid.
(1 point)
A equals 18 meters squared
A equals 24 meters squared
A equals 15 meters squared
A equals 22 meters squared
Answers
18m^2
area of a trapezoid = (a+b)/2 * h, where a and b are bases 1 and 2, and h is height
(4+8)/2 * 3
= 12/2 * 3
= 6 * 3
= 18
Which system of equations would have no solution? pls helpp
Answers
Answer:
3x+y=8 and 3x+y=9
Step-by-step explanation:
Assume these two equations:
a1x+b1y+c1=0
a2x+b2y+c2=0
If (a1/a2) = (b1/b2) ≠ (c1/c2) than those two would have no solution.
In these case, take a look at the last option:
[tex]3x + y = 8 \\ 3x + y = 9[/tex]
Re-write 'em as a standard form:
[tex]3x + y - 8 = 0 \\ 3x + y - 9 = 0[/tex]
So (a1/a2) = (b1/b2) ≠ (c1/c2) is true here:
[tex] \frac{3}{3} = \frac{1}{1} ≠ \frac{ - 8}{ - 9} [/tex]
And they do not have any collision point
3a-2b=50, 2a+3b=100 what does a equal and what does b equal?
Answers
Answer: I got A is 350 over 13 and B is 400 over -13
Step-by-step explanation:
Hope this helps!
solve the problem - 4(6x + 7) ≥ 116
Answers
Answer:
if were solving for X, that's the answer
Step-by-step explanation:
Answer:
hope this helps
Step-by-step explanation:
What is the value of x in the figure?
Answers
Answer:
130
Step-by-step explanation:
130 because 130 +15 is equal to 145 and if the angles cross they're the same measure
Math help!
77-999+6 divided by 2 =