The scale factor of the image after the dilation is k = 2
Given data ,
Polygon ABCD with vertices at A(1,-1) B(3,-1), C(3,-2) and D(1-2)
Now , the dilated polygon is represented as A'B'C'D'
where the coordinates are A’(2,-2), B(6,-2), C’(6,-4) and D’(2,-4).
Now , we can compare the corresponding side lengths of the two polygons to determine the scale factor:
Scale factor = (corresponding side length of dilated polygon) / (corresponding side length of original polygon)
So, A'/A = 2 / 1
A' = 2A
So, the scale factor is k = 2
Hence , the dilation is solved.
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Mr. G's pet cat can travel 10 meters in 20 seconds. How many meters can the cat travel in 1 second? Write your answer as a ratio.
Answer:
0.5 meters a second or 0.5:1
Step-by-step explanation:
10 meters ÷ 20
_______________
20 seconds ÷ 20
=
0.5 meters
_______________
1 second
Help me please ASAP
Answer:
m<2 = 70degrees
m<3 = 70degrees
m<4 = 110degrees
m<5 = 110degrees
m<6 = 70degrees
m<7 = 70degrees
m<8 = 110degrees
Step-by-step explanation:
A line has the angles of 180 degrees so if m<1 is 110 then m<2 must be 70degrees. Then m<4 is opposite side of m<1 so it has to be the same number of degrees and the same for m<3 is the opposite side of m<2.
You repeat the process with 5678
o que significa 1E+76 ?????
Answer:
e means error at least when the number is higher than the computor can calculate or it is just a variable
Step-by-step explanation:
karina has a job at a video game store, the total she is paid each week is made up of an hourly rate of
Answer:
you have not put the full question
Step-by-step explanation:
Answer:
The question is incomplete
Help with translations!
Given:
The figure of a trapezoid.
The figure is translated down 5 units and then rotated 180 degrees clockwise.
To find:
The coordinates of the image of point W after these transformation.
Solution:
From the given figure it is clear that the coordinates of point W are (-6,3).
The figure is translated down 5 units. So,
[tex](x,y)\to (x,y-5)[/tex]
[tex]W(-6,3)\to W'(-6,3-5)[/tex]
[tex]W(-6,3)\to W'(-6,-2)[/tex]
After that the figure is rotated 180 degrees clockwise.
[tex](x,y)\to (-x,-y)[/tex]
[tex]W'(-6,-2)\to W''(6,2)[/tex]
Therefore, the coordinates of point W after the given transformations are (6,2).
Help me please (show work)
9514 1404 393
Answer:
14. 53.1°
16. 253.7°
Step-by-step explanation:
14. The measure of angle L can be found from the cosine relation:
Cos = Adjacent/Hypotenuse
cos(L) = 9/15 = 3/5
L = arccos(3/5) = 53.1° . . . arc MK
__
16. Arc MK is half of arc JK, so that arc is 106.3°. The long arc JPK is the difference between 360° and the measure of the short arc JK.
360° -106.3° = 253.7° . . . arc JPK
A glass prism on a chandelier is 80 millimeters long. A base of the prism is an equilateral triangle with side lengths of 9 millimeters and a height of about 5.8 millimeters. What is the approximate surface area of the prism?
Let's find the area of the equilateral triangle first:
There are two triangles - one on each end. So we multiply our previous expression by 2.
Each rectangle is 75 millimeters long and 9 millimeters wide: 75*9 mm^2.
We have 3 rectangles each the same size so we multiply 75*9 by 3.
75*9*3 = 2025
2025 + 70.2 = 2095.2
If John ran a 40 yard dash, how far did he run in decimeters?
Answer:
365.76 decimeters
Step-by-step explanation:
Please give me brainliest
Salma's company makes solid metal balls for various industrial uses. A customer wants lead balls that have a diameter of 6 in. If Salma must make 80 of these balls, how much lead will she need?
HEELPP ME PLLEASEE
Answer:
Total volume of 80 balls = 2,263.2 inch³
Step-by-step explanation:
Given:
Diameter of lead ball = 6 inch
Number of ball need = 80
Find:
Total volume of 80 balls
Computation:
Radius of lead ball = Diameter / 2
Radius of lead ball = 6 / 2
Radius of lead ball = 3 inch
Volume of lead ball = πr²
Volume of lead ball = (22/7)(3)²
Volume of lead ball = (22/7)(9)
Volume of lead ball = 28.29 inch³ (Approx.)
Total volume of 80 balls = 80 x Volume of lead ball
Total volume of 80 balls = 80 x 28.29
Total volume of 80 balls = 2,263.2 inch³
If a trader gained 15% by selling an
article for A1560.00, what is the cost
price of the article?
Answer$67
Step-by-step explanation:
Answer:
A or B
Step-by-step explanation:
HELP!! TY IF YOU ANSWER
The Black transles are shown. Find the value of
The value of
(just type a number in the box)
please help me !!
Answer:
I think its d
Step-by-step explanation:Because i think that.
Answer:
x = 8
Step-by-step explanation:
The ratio between the traingle is
2:3
x:12
3*4 = 12
2*4 = 8
8:12
Which TWO expressions can be used to represent the tiles shown here?
Answer:
4(2a + b)
and
8a + 4b
Step-by-step explanation:
Hope this helped :)
Step-by-step explanation:
8a+4b
4(2a+b)
hope this helps
Biology A bald eagle snatches a fish from a lake and Mies to an altitude of 256 it.
The fish manages to squirm free and falls back down into the lake. Its height in
feet can be modeled by h(1) - 256 - 167, where is the time in seconds. How many
seconds will the fish fall before hitting the water?
Answer: Its height h in feet can be modeled by h(t) = 256 – 16t2, where t is the time in seconds.
Step-by-step explanation:
Its height h in feet can be modeled by h(t) = 256 – 16t2, then like i said t is the time in seconds may be marked brainliest
need help please.........
Answer:
Step-by-step explanation:
C
Answer:
A.
Step-by-step explanation:
k=am+3mx=m(a+3x)
⇒ [tex]m=\frac{k}{a+3x}[/tex]
Brainliest for correct answer
An ice company has y lbs of ice in stock. The company sells 500 lbs of ice and then receives a new shipment of 5x lbs of ice. Which expression represents the
weight of ice the ice company has now?
Answer:
yes
Step-by-step explanation:
no sabo
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
80
Step-by-step explanation:
sorry if wrong
What is the volume of the square pyramid
Answer:
V≈2933.33
Step-by-step explanation:
(explanation in picture)
Please brainliest!
The range of a data set is 18 . If the smallest number in the set is 9 what is the largest?
Answer:
So you start off with 9, we know that the range is 18, so you do 9 + 18 = 27, So the largest number in the set would be 27 .
what is the answer? can someone help me
Answer:the answer u put is correct
Step-by-step explanation:
What is the location of point A? (5,-8) (-8,5),(8,-5) (-5,8)
Answer: Dude the answer is (-5,8).
Step-by-step explanation:
Mark me brainliest please since I have the real answer.
13. Reasoning In 2016, the world's oldest
tree was 5,066 years old. Write the
number that is one hundred more using
number names?
Answer:
five thousand, one hundred and sixty six years old.
Step-by-step explanation:
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Question 3 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
The equation of the line passing through two points (0, 0) and (4, -2) is y = -x/2
What is an equation of the line?The general equation of a line in two variables of the first degree is represented as Ax + By +C = 0, A, B ≠ 0 where A, B and C are constants which belong to real numbers.
Given is a line passing through two points (0, 0) and (4, -2), we need to find the equation of the line,
We know that the equation of the line, passing through two points (x₁, y₁) and (x₂, y₂), is given by:
y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)
Here, (x₁, y₁) and (x₂, y₂) are (0, 0) and (4, -2), putting the values to finding the equation,
y-0 = -2-0 / 4-0 (x-0)
y = -1/2(x)
y = -x/2
Hence, the equation of the line passing through two points (0, 0) and (4, -2) is y = -x/2
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What is the slope of the line through (1, 1) and
(4.1)
Answer:
m = 0
Step-by-step explanation:
Let's figure out the change in x (the 'run') and the change in y (the 'rise'). Going from the first point to the second, we see that x increases by 3 and y stays the same. Therefore we know that the line is a horizontal one with zero slope.
multiply polynomials (x+4)(x+5)
Answer:
[tex]x^{2} +9x+20[/tex]
Step-by-step explanation:
The incomes in a certain large population of college teachers have a normal distribution with a mean $75,000 and standard deviation $10,000. 16 teachers are selected at random from this population to serve on a committee. What is the probability that their average salary is more than $77,500?
Answer:
The probability that their average salary;
standard error
= 10,000/sqrt(16)
=10,000/4
= 2500
(77,500 - 75000)/2500
2,500/2500
= 1
p (z > 1) = .1587
So, the probability that their average salary is more than $77,500 is 0.1587
Step-by-step explanation:
Grant started a marathon at 8:00 am. He took 4 hours 49 minutes to complete the marathon. When did he cross the finish line
Find the midpoint of the line segment joining points A and B. A(2,-7); B(2,3) The midpoint of the line segment is (Type an ordered pair.)
The midpoint of a line segment is the point that is exactly halfway between the two endpoints. To find the midpoint of the line segment joining points A(2,-7) and B(2,3), we can use the midpoint formula:
Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]
where (x1, y1) and (x2, y2) are the coordinates of the two endpoints.
Substituting the values for A and B, we get:
Midpoint = [(2 + 2) / 2, (-7 + 3) / 2]
Midpoint = [4 / 2, -4 / 2]
Midpoint = [2, -2]
Therefore, the midpoint of the line segment joining points A and B is (2, -2).