Kim performs to create rectangle A'B'C'D' Transformation, ''Rotation of 270 degrees counterclockwise about the origin'' and it can be determined by using the rules of transformation.
Given that,Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:
Rectangles ABCD and A prime B prime C prime and D prime are shown.
We have to determine,What transformation did Kim perform to create rectangle A'B'C'D'?
According to the question,Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:
Rectangles ABCD and A prime B prime C prime and D prime are shown.
Transformation involves changing the position of the given shape.
The transformation on rectangle ABCD to A'B'C'D' is (a) rotation of 270 degrees counterclockwise.The coordinates of ABCD are given as:A (1, -2),
B (-1, 5)
C (-3, 5)
D (-3, 2)
The coordinates of A'B'C'D' are given as:A (2, 1),
B (5, 1)
C (5, 3)
D (2, 3)
The transformation from ABCD to A'B'C'D is 270 degrees counterclockwise about the origin.
And the proof is as follows.
The rule of 270 degrees counterclockwise about the origin is:
The given coordinates;
A (2, 1) - (-1, 2)
B (5, 1) - (-1, 5)
C (5, 3) - (-3, 5)
D (2, 3) - (-3, 2)
Hence, Kim performs to create rectangle A'B'C'D' Transformation, ''Rotation of 270 degrees counterclockwise about the origin''.
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add the expression(3x+2)+(2x+5)
Sam has a piece of rope that is 3. feet long. He cuts the rope so that one piece
is 13 feet long. How long is the other piece?
2 feet
2 feet
27 feet
12 feet
Done
Answer:
1.11 feet
Step-by-step explanation:
i assume you meant inches not feet so you will just multiply 3 feet by 12 to change it into 36 inches do 36-13 get 33 dived by 12 get 1 with a remainder of 11 so 1.11
NEED HELP ON THIS EQUATION!!!
Answer:
1.2x + 3
Step-by-step explanation:
It has to have +3 because 0 alresdy starts at 3 than use any point (I choose (5,9)) and find how much changed. The point moved 6 up and 5 to the right so divide 6/5 and get 1.2. Then test it with other points. (2,5.4) is a great example because it shows that whatever the equation is it is not 1.5 or anything above.
Sixth grade
X Factor numerical expressions using the distributive property. MX2
Which expression shows a way to factor 63 + 49?
21(3 + 2)
7(9 + 7)
9(7 + 6)
3(21 + 16)
Hey there!
“63 + 49”
21(3 + 2)
= 21(3) + 21(2)
= 63 + 42
= 105
Option A. isn’t the answer because the equation for that is: 63 + 42
7(9 + 7)
= 7(9) + 7(7)
= 63 + 49
= 112
Option B. could possibly be your answer
9(7 + 6)
= 9(7) + 9(6)
= 63 + 54
= 117
Option C. isn't your answer because the equation for that is: 63 + 54
3(21 + 16)
= 3(21) + 3(16)
= 63 + 48
Option D. isn’t your answer because the equation for that is: 63 + 48
Thus, this makes makes [Option B. 7(9 + 7)] is your answer
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
I NEED ASAP ON THIS MATH PROBLEM
Use the information to answer the question.
A crew is loading crates onto a train. They can load 4 crates every 1.25 minutes. Each crate weighs 160 pounds.
C
=
At that rate, how many minutes would it take the crew to load crates with a total weight of 2400 pounds? Round the answer to the nearest
tenth. Enter the answer in the box.
minutes
Plz help me no links
Answer:
4.7
Step-by-step explanation:
2400/160 =15 crates
4/1.25=3.2 crates a minute
15/3.2=4.68 minutes
4.7 because it rounds up
To load 2400 pounds of crates crew will take around 4.69 minutes.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given,
Crew can load 4 crates every 1.25 minutes
4 creates ⇔ 1.25 minutes
Given,
1 crate = 160 pounds
So,
4 crate = 640 pounds
So,
640 pounds ⇔ 1.25 minutes
1 pound ⇔ 1.25/640 minutes
To load 2400 pounds
2400 pounds ⇔(1.25/640)2400 minutes
2400 pounds ⇔ 4.6875 minutes.
Hence " To load 2400 pounds of crates crew will take around 4.69 minutes".
For more information about ratio and proportion,
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Someone please help me with this it’s an emergency
Answer:
The answers are given in the photo
help me answer please
Answer:
Sorry
Step-by-step explanation:
..............................
Answer:
A rational number is a number that doesn't terminate or repeat
a non rational number is a number that terminates or repeats
so she basicelly got mixed up
Hope This Helps!!!
Find the area of a rectangle & triangle! NEED HELP ASAP
Answer:
For rectangle: A=wl
Step-by-step explanation:
Multiply the length by the with to find the answer
1. Represent the following sentence as an algebraic expression, where "a number" is the letter x.
8 is added to a number.
2. When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step?
Original Equation:
4x-5= -4
First Step:
4x= 1
A. multiplication property of equality
B. addition property of equality
C. commutative property of addition
D. commutative property of multiplication
Answer:
The answer is C since she is adding 5 to both sides
Hope This Helps!!!
winter coat was originally priced at 140$ and went on sale for 91$ by what percentage was the price of the winter coat reduced?
Answer:
35%
Step-by-step explanation:
Find out what percent 91 is of 140
91÷140 = 0.65
Then find out how much was reduced by subracting 0.65 from 1
1 - 0.65 =0.35
The coat was reduced by 35%
Write an equation of a line that is perpendicular to the given line and passes through the given point.
y = 6x - 7
(12,-4)
• y = 6x +5
• y = -6x-5
• y = -1/6 x + 6
•y = -1/6 - 2
Answer:
• y = -6x-5
Step-by-step explanation:
Which expression is equivalent to −78−(−34)
HELP PLEASE!
Find profit or loss percent if CP-Rs 900 and loss =Rs 360
loss%=loss/CP×100%
=Rs.360/Rs.900×100%
=Rs. 360/9
loss% =40% ans
A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m^3/min. How fast is the height of the water increasing
Answer:
[tex]\frac{3}{25\pi}[/tex] meters per minute
Step-by-step explanation:
Given:
[tex]V=\pi r^2h[/tex]
[tex]r=5[/tex]
[tex]\frac{dV}{dt}=3[/tex]
[tex]\frac{dh}{dt}=?[/tex]
Substitute r=5:
[tex]V=\pi r^2h[/tex]
[tex]V=\pi(5)^2h[/tex]
[tex]V=25\pi h[/tex]
Differentiate both sides:
[tex]\frac{d}{dt}V=\frac{d}{dt}(25\pi h)[/tex]
[tex]\frac{dV}{dt}=25\pi\frac{dh}{dt}[/tex]
Solve for dh/dt:
[tex]3=25\pi\frac{dh}{dt}[/tex]
[tex]\frac{3}{25\pi}=\frac{dh}{dt}[/tex]
Therefore, the height of the water is increasing at a rate of [tex]\frac{3}{25\pi}[/tex] meters per minute.
Pls help trig question!!
[tex]4\sin^2 x - 3 = 3 \sin x\\\\\implies 4\sin^2 x -3 \sin x -3 =0\\\\\implies 4u^2 -3u -3 =0~~~~~~~~~~~~~~;[\text{Set} ~ \sin x = u]\\\\\implies u = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4\cdot 4 \cdot (-3)}}{2(4)}~~~~~~;[\text{Apply quadratic formula}]\\\\\\\implies u = \dfrac{3\pm\sqrt{57}}8\\\\\implies \sin x = \dfrac{3\pm\sqrt{57}}8~~~~~~;[\text{Substitute back}~ u = \sin x]\\\\\text{Now,}\\\\\sin x = \dfrac{3+\sqrt{57}}8\\\\\text{No solution for}~ x\in \mathbb{R} ~\text{Since}~ -1\leq \sin x \leq 1\\[/tex]
[tex]\sin x = \dfrac{3 - \sqrt{57}}8\\\\\implies x = n\pi + (-1)^n \sin^{-1} \left(\dfrac{3-\sqrt{57}}8\right)\\\\\\\text{ When n = 1,2 and}~ [0,2\pi]},\\\\\\x= \pi - \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)~ \text{and} ~x = 2\pi + \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)\\\\\text{In decimal,}\\\\x= 3.75~~~~ \text{and}~~~ x =5.68[/tex]
which one weighs more a watermelon that weighs 1.7 kilograms or a pumpkin that weighs 12 pounds?
Answer : pumpkin that is 12 pounds
Step - by - step explanation :
First, convert . . . what is 1.7 kilograms as pounds ? 3.74786 ( rounded is 4 pounds )
Second, compare . . . 4 < 12
Hope this helped ! :>
Triangle ABC has coordinates A(−6,2), B(−3,6), and C(5,0). Find the perimeter of the triangle. Round your answer to the hundredths place (2 decimal places) I will give brainliest
Answer:
26.18 units
Step-by-step explanation:
You could use distance formula three times to calculate the length of each side. Add the three lengths to find the perimeter. However, (see image) if you look at a graph of these points, two of the sides are the hypotenuse of a right triangle that have known, integer values--Pythagorean triples. The sides are 3-4-5 and the other is 6-8-10. We use the Pythagorean theorem to find the third side. See image.
11.18 + 5 + 10
= 26.18 units
The perimeter of triangle is 26.18.
What is triangle?A triangle is 2-dimensional closed curve. which has 3 sides, 3 angles and 3 vertices.
According to the question,
Triangle ABC has coordinates A(-6,2), B(-3,6), C(5,0).
Distance formula: √(x₂-x₁)² + (y₂-y₁)².
Points A and B are (-6,2) and (-3,6)
= √(-3-(-6))² + (6-2)²
= √9+16
= √25
=5.
Thus, point A and B has distance, S₁ = 5.
Points B and C are (-3,6) and (5,0)
Distance formula: √(x₂-x₁)² + (y₂-y₁)²
= √(5-(-3))² + (0-6)²
= √(8)² + (-6)²
= √(64+36)
=√100
=10.
Thus, point B and C has distance, S₂ = 10.
Points C and A are (5,0) and (-6,2)
Distance formula: √(x₂-x₁)² + (y₂-y₁)²
= √(-6-(5))² + (2-0)²
= √((-11)² + (2)²)
=√(121+4)
=√125
=5√5
Thus, point C and A has distance, S₃= 5√5.
Perimeter of triangle = S₁ + S₂+S₃
= 5 + 10 + 5√5
=15+5√5
=15+5(2.23606)
=15+11.1803
=26.1803 ≈ 26.18
Hence, the perimeter of triangle is 26.18.
Learn more about Triangle here
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the sum of kyras and calebs age is 37. calebs age is equal to twice the quantity of kyras age decreased by 4. let k represent kyras age.
Two similar triangles are shown on the coordinate grid:
A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 2, negative 1, vertex B on ordered pair 0, 0, and vertex C on ordered pair 1, negative 3. A triangle A prime B prime C prime is also shown with vertex A prime on ordered pair negative 4, 2 , vertex B prime on ordered pair 0, 0 and vertex C prime on ordered pair 2, 6.
Which set of transformations has been performed on triangle ABC to form triangle A′B′C′? (5 points)
Dilation by a scale factor of 4 followed by reflection about the x-axis
Dilation by a scale factor of 2 followed by reflection about the x-axis
Dilation by a scale factor of 4 followed by reflection about the y-axis
Dilation by a scale factor of 2 followed by reflection about the y-axis
The set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis
The coordinates of the triangles are given as:
Triangle ABC
[tex]A =(-2, -1)\\[/tex]
[tex]B =(0, 0)[/tex]
[tex]C =(1, -3)[/tex]
Triangle A'B'C'
[tex]A' = (-4, 2)[/tex]
[tex]B '=(0, 0)[/tex]
[tex]C '=(2, 6)[/tex]
Start by dilating triangle ABC by a scale factor of 2.
The rule of this transformation is [tex](x,y) \to (2x,2y)[/tex]
So, we have:
[tex]A' =(-4,-2)[/tex]
[tex]B' =(0,0)[/tex]
[tex]C' = (2,-6)[/tex]
Next, we reflect the triangle across the x-axis.
The rule of this transformation is [tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]A' = (-4, 2)[/tex]
[tex]B '=(0, 0)[/tex]
[tex]C '=(2, 6)[/tex]
Hence, the set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis
Read more about transformation at:
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What is the value of 8.25p + 3.99c, when p=11 and c= 7? *
Answer:
Your answer is p=3.99;$51.87
A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the following procedures would produce a simple random sample?
Assign the homework questions the numbers 1–10. Use a random number table to select the first three numbers between 1 and 10. These represent the questions that will be graded.
Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.
Assign the homework questions the numbers 01–10. Use a random number table to select the first three 2-digit numbers between 01 and 10. These represent the questions that will be graded.
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.
Answer:
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.
Step-by-step explanation:
Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.
How to Assign Random Numbers?
We are told that a teacher assigned 10 questions for homework and would like to randomly pick 3 questions to be graded. Now, this simply has to follow the correct procedure of random selection.
The procedure that the teacher should follow is as follows;
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.Read more about Random Numbers at; https://brainly.com/question/251701
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Which equation choice could represent the graph shown below?
HELP NOW! 20 POINTS!
Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels.
Yes, it is a proportional relationship because the graph goes through the origin
Yes, it is a proportional relationship because the graph is a straight line
No, it is not a proportional relationship because the graph is not a straight line
No, it is not a proportional relationship because the graph does not go through the origin
Help please!!!!!!!!!!!!!
Answer:
Hm? Is there meant to be a file, if so I can’t see it. :((
Step-by-step explanation:
Which equation is equivalent to the formula r = st? t equals s over r t = rs s equals r over t s = rt.
Answer:
Step-by-step explanation:
r = st------------Other correct expressions:
t = r/s
s = r/t
------------------
Choices
1) t = s/r No
2) t = rs No
3) s =r/t Yes
4) s = rt No
The equation that is equivalent to the given equation is [tex]s = r/t[/tex] and this can be determined by using the arithmetic operations.
Given :
Equation is [tex](r = st)[/tex].
The following steps can be used in order to determine the equation that is equivalent to the given equation:
Step 1 - Write the given equation.
[tex]r = st[/tex] --- (1)
Step 2 - The arithmetic operations can be used in order to determine the equation that is equivalent to the given equation.
Step 3 - Now, divide 't' on both sides in the equation (1).
[tex]\dfrac{r}{t} = \dfrac{st}{t}\\\\\\dfrac{r}{t}=s[/tex]
Therefore, the correct option is C).
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Find the value of x, y, and z.
which system of equations cannot be readily solved by the substitution method 6x+12y=11
Answer:
Step-by-step explanation:
well first off when you work through the promblem you will have to think about the promblem like the variables will cancel out and will have a equation consisting of only contasts.
The volume of an eraser is 9.6cm cube Its height is 0.8cm find the area of it base
Step-by-step explanation:
V epual to L x W x H
9.6cm x 0.8cm
9.6
x 0.8
46
Answer:
12 cm
Step-by-step explanation:
[tex]v_{eraser} = area \: of \: base \times height \\ \\ \therefore \: area \: of \: base = \frac{v_{eraser}}{height} \\ \\ = \frac{9.6}{0.8} \\ \\ = 12 \: cm[/tex]