Answer:3/3 cup or 1 full cup
Step-by-step explanation:1/3 cup=12
2/3 cup=24
3/3 or 1 whole cup=36
Create a scaled copy of ABCD using a scale factor of 2.
The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).
How to create a scaled copy of a quadrilateral
A picture of the original quadrilateral ABCD is attached aside and we are asked to generated a scaled copy of the quadrilateral ABCD using a scale factor of 2. First, we generate two orthogonal axes (x, y) and we assume that the center of dilation is at point A.
The coordinates of each point of the original quadrilateral are A(x, y) = (1, 9), B(x, y) = (3, 9), C(x, y) = (2, 7) and D(x, y) = (1, 8).
Second, determine the coordinates of the new quadrilateral by using the dilation formula:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]
Where:
k - Scale factorO(x, y) - Center of dilationP(x, y) - Original pointP'(x, y) - Dilated pointIf we know that O(x, y) = (1, 9) and k = 2, then coordinates of the dilated point are:
A'(x, y) = (1, 9) + 2 · [(1, 9) - (1, 9)]
A'(x, y) = (1, 9)
B'(x, y) = (1, 9) + 2 · [(3, 9) - (1, 9)]
B'(x, y) = (1, 9) + 2 · (2, 0)
B'(x, y) = (1, 9) + (4, 0)
B'(x, y) = (5, 9)
C'(x, y) = (1, 9) + 2 · [(2, 7) - (1, 9)]
C'(x, y) = (1, 9) + 2 · (1, - 2)
C'(x, y) = (1, 9) + (2, - 4)
C'(x, y) = (3, 5)
D'(x, y) = (1, 9) + 2 · [(1, 8) - (1, 9)]
D'(x, y) = (1, 9) + 2 · (0, - 1)
D'(x, y) = (1, 9) + (0, - 2)
D'(x, y) = (1, 7)
The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).
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The regular pentagon shown is rotated clockwise about center point P.
●P
Choose all degrees of rotation that will carry the regular pentagon onto itself.
A. 72°
B. 90°
C. 108°
D. 144°
E. 216°
Answer:
A. 72°
D. 144°
E. 216°
Step-by-step explanation:
are you tempted to calculate the internal angles ?
that is, I guess, the trap set by your teacher here, and it would be the wrong approach.
nevertheless, quickly just as a reminder :
the sum of all internal angles in a polygon is
(n - 2)×180°
n being the number of sides.
in our case that is
(5 - 2)×180 = 3×180 = 540°
so, each internal angle is 540/5 = 108°.
but we are not turning at an edge or vertex. no, we are turning the pentagon around is central point.
we are running each vertex along a circle arc. the center of that circle being P.
after every 1/5 of the circle arc there is a vertex of the pentagon.
and whenever we rotate one vertex on top of the next one, we carry the pentagon visually onto itself.
so, instead of a full circle rotation we need only 1/5 of that :
360 / 5 = 72°
and with every additional 1/5 of the circle arc (or 72°) we get it again.
that means at
72°
144°
216°
288°
360°
the pentagon carries onto itself.
therefore, A, D and E are correct.
PLS HELP THANK YOU VERY MUCH
Given AB, explain how to construct a square with sides of length AB.
Answer:
because it is a square, you just need to make a square with the side lenghts all being a or b
Step-by-step explanation:
Q1. Elizabeth has a bunch of red, yellow and white roses.
She chooses a rose at random.
The probability that she chooses a yellow rose is 0.1
The probability that she chooses a white rose is 0.2
(a) What is the probability that Elizabeth chooses a rose that is either yellow or
white?
(b) What is the probability that Elizabeth chooses a red rose?
(c) There were ten roses in the bunch originally
How many roses were red?
Answer:
a) 0.02
b) 0.7
c) 7
Step-by-step explanation:
0.2 × 0.1
1 - (0.2 + 0.1)
10 - (2+1)
expressions that are equivalent to k/2
A: k-2
B: 2/k
C: 1/2 k
D: k/2
E: k+k
The correct option is D: k/2 is the expression that is equivalent to the expression, K/2.
What is defined as the equivalent expressions?Two equations are equivalent unless and until they produce the same result for all matching variable values. As a result, we can determine whether 2 expressions seem to be equivalent by putting in many distinct corresponding values of the variables to ensure that each expression returns the same value in every instance.If we enter matching variable values into two mathematical expressions and get a different result from each expression, the two expressions really not equivalent.In response to the question;
We must determine the expression that is equivalent to k/2.
Among the options, Option D: k/2 is same as expression K/2.
Choice C, when written as (1/2)k, is equivalent to k/2 since they both imply half of k.
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Identify a pattern in each list of numbers. Then use this pattern to find the next number. 5, 12, 33, 96, 285, ___
Answer:
852
Step-by-step explanation:
You want the next number in the pattern that starts with 5, 12, 33, 96, 285.
PatternWhen looking for patterns in sequences, it is often useful to consider first differences and the relations between them.
12 -5 = 7
33 -12 = 21
96 -33 = 63
285 -96 = 189
We notice that these differences have a common ratio of 3. This suggests the next difference will be 189×3 = 567.
The next number in sequence is 285 +567 = 852.
__
Additional comment
When differences have a common ratio, an exponential sequence is indicated. These differences have a ratio of 3, but are not powers of 3, so the exponential term needs additional components to completely describe the sequence. We expect there are horizontal and vertical offsets involved.
Exponential regression gives the explicit formula as ...
y = (3 +7·3^(x-1))/2
Write a subtraction expression using integers that equals -6
Is there a difference between [tex]-\frac{x}{y}[/tex] and [tex]\frac{-x}{-y}[/tex] ?
Do they mean different things?
There is a difference between the expressions -x/y and -x/-y
How to determine if there is a difference between the expression?The expressions are given as:
-x/y and -x/-y
When the expression -x/-y is evaluated, we have:
-x/-y = x/y
This means that
-x/y = -x/y
-x/-y = x/y
When the above expressions are compared, we can see that both expressions are not equal
Hence, there is a difference between the expressions -x/y and -x/-y
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If √x = 9, then x is between
O 80 and 90
O 4 and 5
O 2 and 3
O 15 and 20
Answer:
80 and 90
Step-by-step explanation:
[tex]\sqrt{x}=9 \implies x=9^2=81 \implies 80<x<90[/tex]
What is the meaning of selling price?
Answer:
noun. Britannica Dictionary definition of SELLING PRICE. [singular] : the price for which something actually sells. They asked $200,000 for the house, but the eventual selling price was $175,000.
ome Tax A certain state uses the following progressive tax rate for calculating individual income tax: Income Range ($) 0 - 2000 2001 - 9000 Progressive Tax Rate 2% 5% 9001 and up 5.4% A Calculate the state income tax owed on a $30,000 per year salary. tax = $[?] Round your answer to the nearest whole dollar amount. Enter
The state income tax owed on a $30,000 per year salary is $1,524
What are the applicable tax rates?
The applicable tax rates are that the first $2,000 of taxable income is taxed at 2%, such that $9000 minus the earlier $2000, is taxed at 5% and any taxable income beyond $9,000 is taxed at 5.4%, in essence, the income tax owed by a taxpayer whose taxable income is $30,000 is computed thus:
income tax on first threshold=$2000*2%=$40
income tax on second threshold=($9000-$2000)*5%=$350
income tax on the last threshold=($30,000-$9,000)*5.4%=$1,134
total state income tax owed=$40+$350+$1,134
total state income tax owed=$1,524
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ALGEBRA 1 HW!! PLEASE HELP I WILL GIVE BRAINLYEST also pls explain what the heck an explicit formula is..
Answer:
explicit formula is a mix of different upgraded formulas
Step-by-step explanation:
how does the vertical line test work?
Answer:
To see if something is a function, just draw lines down the graph, if it touches the line twice, then that means it does not pass the vertical line test, meaning it is not a function
(By the line, I mean what you wrote on the paper,)
For example, a parabola is a function, because when you do the vertical line test, it only touches the line at one point, and not two,
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
(I included a picture that should help explain better)
Please hurry due today I will give brainlest
Solve for c. a = 11+4b-4c
Answer:
yes i think thats right
Step-by-step explanation:
if not then it might be b
Luis y Mario se encuentran a 240 metros uno del otro. Luis camina a 3 m/seg y Mario camina a 5 m/seg. ¿Qué distancia recorre Mario hasta que logran encontrarse?
Mario viaja 48 segundos para encontrarse con Luis.
La distancia se define como la longitud de la trayectoria real recorrida por una partícula en movimiento. El desplazamiento se define como la distancia más corta entre la posición inicial y final de un cuerpo. La distancia recorrida por una partícula en una unidad de tiempo se conoce como velocidad.
La distancia entre Luis y Mario es de 240 metros.
La velocidad al caminar de Luis es de 3 m/s.
La velocidad al caminar de Mario es de 5 m/s.
La distancia se puede definir como el producto de la velocidad y el tiempo que tarda el objeto.
Por lo tanto,
Para que Mario alcance a Luis,
Distancia = Velocidad × Tiempo
240 = 5 × t
t = 240/5 = 48 sec.
Mario tiene que viajar durante 48 segundos para encontrarse con Luis.
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The larger room is twice as wide as the smaller room which is 29 3/4’. How wide is the
larger room?
Based on the fact that the larger room is twice as wide as the smaller room, the width of the larger room is 59¹/₂ inches.
How wide is the larger room?The larger room is twice the width of the smaller room.
If the smaller room is 29³/₄ inches therefore, the width of the larger room will be:
= Width of smaller room x 2
Solving for the width of the larger room gives:
= 29³/₄ x 2
= 29.75 x 2
= 59.50
= 59¹/₂ inches
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The perimeter of a rectangle is 28 cm. Which of the following express the area of the rectangle in terms of the width x?
Answer:
14x−x
2
Step-by-step explanation:
Perimeter is 2x + 2y = 28 (y is the length BTW)
To find y, transfer equations
28-2x=2y
Divide both sides by 2
14-x = y
Now you have your length in terms of x
Multiplt length and width
x(14-x)
14x - x {}^{2}14x−x
2
Which graph shows a function where f(2)=4?
Answer:
The correct option is 1.
Step-by-step explanation:
We have to find a function where f(2)=4. It means the value of function is 4 at x=2.
In graph 1, the value of function is 4 at x=2, therefore option 1 is correct.
In graph 2, the value of function is -4 at x=2, therefore option 2 is incorrect.
In graph 3, the value of function is not shown in the graph at x=2, therefore option 3 is incorrect.
In graph 4, the value of function is not shown in the graph at x=2, therefore option 4 is incorrect.
Thus, correct option is 1.
(x³- 3x²+2x+1)/x²-4x+4 dx (dx/dy) + (x²+4y-y²)/(²√4y+y²)
Step-by-step explanation:
y=1
x=1
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A serviceman charges ₱450 per hour for doing mechanical jobs. How much does he get for 6.75 hours of doing the job?
Pa help po
Answer:
450×6.75 = 2 956.5
So the serviceman will get 2 956.5 after 6.75 hours of doing the job
Identify the values of a, b, and c that could be used with the quadratic formula to solve the equation. Enter a as a positive
integer value.
x²=8(x-5)
Answer:
See below
Step-by-step explanation:
Expand to get x^2 - 8x + 40 = 0
a = 1 b = -8 c = 40
What are the solutions to the inequality (x-3)(x+5) ≤0?
O {x| 3≤x≤5}
O {xl-5≤x≤-3}
O x1-5≤x≤ 3}
O {xl-3≤x≤5}
Answer: -5<=x≤3 ==> 3rd option
Step-by-step explanation:
(x-3)(x+5)≤0
x-3>=0 and x+5≤0
x>=3 and x≤-5 ==> Not possible since a number subtracted by 3 can't be greater than the same number added by 5.
x-3≤0 and x+5>=0
x≤3 and x>=-5 ==> -5<=x≤3 ==> 3rd option
The solution to the inequality is {x | -5 ≤ x ≤ 3}, option C is correct.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is (x-3)(x+5) ≤0
To solve this inequality, we first find the critical points by setting the expression inside the inequality to zero:
(x-3)(x+5) = 0
This gives us two critical points: x=3 and x=-5.
We want to find where the expression is less than or equal to zero, so we include the endpoints of the intervals where the expression is zero or negative.
Hence, the solution to the inequality is {x | -5 ≤ x ≤ 3}, option C is correct.
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Luis is helping to make tacos for a school fundraiser. He needs to buy tortillas. Happy Grocery sells small packs of 20 tortillas for $4.40 and large packs of 45 tortillas for $8.55. Luis has been given $48 to spend on tortillas. Fill in the blanks to complete the statements. Tortillas The unit price for the small pack is $ A per tortilla. The unit price for the large pack is $ B per tortilla.
Answer:
A. $0.22 per tortilla
B. $0.19 per tortilla
Step-by-step explanation:
A. All you gotta do is divide the money by the amount of product.
4.40 ÷ 20 = 0.22
B. All you gotta do is divide the money by the product.
8.55 ÷ 45 = 0.19
Therefore, the best pack to spend your money on would be the larger pack B.
Help please im stuck
Answer: 7.2 hours
Step-by-step explanation:
the interval for each number on the number line is 2.4 because 12 divide by 5 intervals = 2.4
and 2.4 x 3 = 7.2
First you need to find out how long it takes to cook a single kilogram of meat, by doing 12/5 you get 2.4 for one kilo of meat. Now you need to multiply 2.4 by 3 and you will get 7.2, so you can either put 7.2 hours or that converts to 7 hours and 12 minutes.
A movie company spent $12,000,000 making a feature film. If tickets to see the movie cost $8.00 each, determine the number of tickets that must be sold in order for the company to break even
Answer: They will need to sell 1,500,000 to break even.
12,000,000 / 8 is 1,500,000
PACKS
(MP) Attend to Precision Write the numbers 108,567;
107,658; and 107,568 in order from least to greatest.
The arrangement is as follows 107,568 ; 107,658 ; 108,567
What is ascending order?Ascending order is an arrangement from smallest to largest value.
Given:
108,567; 107,658; and 107,568
We have to arrange these numbers from least to greatest
smallest number = 107,568
largest number = 108,567
Hence, the arrangement is 107,568 ; 107,658 ; 108,567
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If ST = 5, TU = 2x, and SU = x + 9, what is SU? geometry
Answer:
Do like this:
Step-by-step explanation:
x+9=5+2x
and
2x-x=9-5
x=4
7
Yuki works at an aquarium. To clean a tank, she calculates of the tank's total volume, and
900
she adds that much cleaning solution to the tank. For a certain tank, this works out to be 2 L
of cleaning solution.
02/1
3
What is the total volume of the tank?
The total volume of the tank is 300L.
The volume of a 3D figure is the space that it occupies.
Here, we are given that Yuki adds cleaning solution that is 7/900 of the tank's total volume.
Let the total volume of the tank be V
We know that the cleaning solution required to clean this tank is 2 1/3 L
Firstly, we need to convert this mixed fraction into an improper fraction, Thus, 2 1/3 = (2*3 + 1)/ 3
= 7/3 L
Thus, we can make the following equation,
(7/900)* V = 7/3
V = 7/3 (900/7)
V = 900/ 3
V = 300
Thus, the volume of the tank is 300L.
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Your question was incomplete. Check for full content here-
Yuki works at an aquarium. To clean a tank, she calculates 7/ 900 of the tank's total volume, and she adds that much cleaning solution to the tank. For a certain tank, this works out to be 2 1/3 L of cleaning solution. What is the total volume of the tank?
Answer:
300L
Step-by-step explanation:
Just did it on Khan academy.
If Thomas has 92 donuts and the box requires 3 donuts each box, once each donut is put in the boxes how many donuts would be left over?
Answer:
2
Step-by-step explanation:
Take 92 and divide by 3
3*30 = 90
92-90 = 2
There are 2 donuts left over
Calculate the area of a rhombus with vertices A(0,-5), B(9,2), C(12,13), and D(2,7) to the nearest tenth of a unit.
Answer:
93 square units (the figure is not a rhombus)
Step-by-step explanation:
You want the area of the figure whose vertex coordinates are A(0,-5), B(9,2), C(12,13), and D(2,7).
Area from coordinatesThe formula for the area of a polygon based on its coordinates might be written ...
[tex]\displaystyle A=\frac{1}{2}\left|\sum_{k=1}^n{x_k(y_{k+1}-y_{k-1})}\right|[/tex]
where coordinate indices wrap around from the end to the beginning.
Using this formula, we find the area to be ...
A = 1/2|0(2-7) +9(13-(-5)) +12(7-2) +2(-5-13)|
A = (1/2)|0 +162 +60 -36| = 1/2(186) = 93
The area of the figure is 93 square units.
DiagonalsThe area of a rhombus could be calculated as half the product of the lengths of the diagonals. This is only true because the diagonals of a rhombus cross at right angles.
Here, the differences between diagonally opposite coordinates are ...
AC = (12, 18) . . . . slope = 18/12 = 3/2
BD = (-7, 5) . . . . slope = 5/-7 = -5/7
If the diagonals are perpendicular, their slopes have a product of -1. Here, the product is ...
(3/2)(-5/7) = (-15/14) ≠ -1
The given figure is not a rhombus.
If we assume the diagonals are perpendicular, then the area would be ...
A = 1/2√(12²+18²)√((-5)²+7²) = 1/2√34632 ≈ 93.048
Rounded to the nearest tenth, this area would be 93.0 square units.
The diagonals actually cross at an angle of about 88.152°, so the area is actually ...
93.048·sin(88.152°) = 93 square units (exactly)
(Development of this formula is beyond the scope of this answer.)