The order from least to greatest would be as follows:
√3 - 1 < 2√10 ÷ 5 < √14 < 3√2 < √19 + 1 < 6
How did we get the value?To order the numbers, we need to first simplify and evaluate each expression.
1. √3 - 1 = 1.73205080757 - 1 = 0.73205080757
2. 2√10 ÷ 5 = 1.265
3. √14 = 3.74166
4. 3√2 = 4.243
5. √19 + 1 = 5.359
6. 6 is simply 6
Therefore, the correct answer is as given above. It could then be concluded that the order from least to greatest is:
0.73205080757 < 1.265 < 3.74166 < 4.243 < 5.359 < 6
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If someone has done this before please help me.
The prove is as follows
Statement Reason
line BC || line DA Definition of parallelogram
Draw line AC Unique line postulate
AC = CA Reflexive property (common sides)
∠BAC = ∠DCA Alternate interior angles
∠BCA = ∠DAC Alternate interior angles
Δ ABC ≅ Δ CDA ASA triangle postulate
AB ≅ CD CPCTC theorem
BC ≅ DA CPCTC theorem
What is ASA postulate?The ASA (Angle-Side-Angle) postulate is a statement about the relationship between the angles and sides of triangles. It states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. In other words, if two triangles have the same shape and size, then they are congruent.
CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent." This theorem states that if two triangles are congruent, then all their corresponding parts are congruent. In other words, if two triangles have the same shape and size, then all their angles and sides are congruent.
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Ahmed buys 4 cups of Karak Chai and 3 scones for 12 AED. Yusuf buys 2 cups of Karak Chai and 5 scones for 13 AED.
Find the price of a cup of tea and the price of a scone.
Answer:
Step-by-step explanation:
this is so confusing
independent vairable can change what?
An independent variable is a variable that can be changed or manipulated in a scientific experiment.
What is independent variables?Independent variables are variables in an experiment or research study that are independent of other variables, meaning they are unaffected by the other variables in the experiment. Independent variables are often manipulated by the researcher and are used to observe the effect on a dependent variable. Examples of independent variables include the type of treatment, the level of education, the amount of money offered, and the type of incentive.
It is used to determine the effect that the change has on the dependent variable, which is the variable being tested and measured in the experiment. By changing the independent variable, researchers can observe how the change affects the dependent variable. Examples of independent variables include the amount of light, temperature, time, type of material, and other factors that could influence the outcome of the experiment.
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Helppp
Find the radius of a circle which has a sector area of 9pi whose central angle is 90 degrees.
Explanation:
90/360 = 1/4
We have 1/4 of a pizza here. This slice is equal to an area of 9pi square units. The full pizza is 4*9pi = 36pi square units.
Use the circle area formula to determine r.
A = pi*r^2
36pi = pi*r^2
36 = r^2
r = sqrt(36)
r = 6
The circle has radius 6 units.
Find the equation of the ellipsoid passing through the points (±6,0,0),(0,±7,0) and (0,0,±5)
The equation of the ellipsoid is[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } +\frac{z^{2} }{c^{2} } =1[/tex]
The equation of an ellipsoid is represented as:
[tex]\frac{x^{2} }{a^{2} } +\frac{y^{2} }{b^{2} } +\frac{z^{2} }{c^{2} } =1[/tex]
Given that the ellipsoid passes through the points (±6,0,0),(0,±7,0) and (0,0,±5)
It means that:
(±a,0,0) = (±6,0,0)
(0,±b,0) = (0,±7,0)
(0,0,±c) = (0,0,±5)
By comparison, we have:
±a=±5
±b=±6
±c=±7
So, the equation of the ellipsoid becomes:
[tex]\frac{x^{2} }{a^{2} } +\frac{y^{2} }{b^{2} } +\frac{z^{2} }{c^{2} } =1[/tex]
By substituting the values, the equation of the ellipsoid becomes is
[tex]\frac{x^{2} }{36}+\frac{y^{2} }{49} +\frac{z^{2} }{25} =1[/tex]
.An ellipse is the set of all points on a plane whose distance from two fixed points F and G add up to a constant. In an ellipse, there are two radius measures, one horizontally along the x-axis, the other vertically along the y-axis.For a circle both these have the same value.
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please help me on this
Answer:
[tex]\dfrac{9}{12} - \dfrac{11}{18} = \dfrac{5}{36}[/tex]
Step-by-step explanation:
We can solve this subtraction of fractions by converting both fractions to forms where they have a common denominator.
To do this, we first have to find the least common multiple (LCM) of their denominators.
1. Write out the denominators' prime factorizations.
12 18
2, 2, 3 2, 3, 3
2. Multiply the greatest multiple of each prime number.
2² × 3² = 4 × 9 = 36
So, the LCM of the denominators is 36.
Next, we need to get both fractions' denominators to 36 by multiplying each one by {36 divided by them} over {36 divided by them}.
Remember, this is just multiplying by 1.
[tex]\left(\dfrac{9}{12} \times \dfrac{36/12}{36/12}\right) - \left(\dfrac{11}{18} \times \dfrac{36/18}{36/18}\right)[/tex]
↓ simplifying the fractions being multiplied
[tex]\left(\dfrac{9}{12} \times \dfrac{3}{3}\right) - \left(\dfrac{11}{18} \times \dfrac{2}{2}\right)[/tex]
↓ executing the multiplication
[tex]\dfrac{27}{36} - \dfrac{22}{36}[/tex]
Finally, we can subtract the fractions' numerators.
[tex]\dfrac{27}{36} - \dfrac{22}{36} = \boxed{\dfrac{5}{36}}[/tex]
Keenan went out in his sailboat on Lake Tahoe one Sunday afternoon. He sailed at 5 miles per hour for the trip out. He sailed twice as fast on the trip back. The entire trip took 6 hours. How far out did he go on the sailboat?
The distance covered is. 90 miles
DistanceSpeed is the distance an object travels in a given time.
This is represented as
Speed = Distance ÷ Time
We can also use the speed formula to calculate the distance or time by substituting the known values in the formula for speed and further evaluating,
Distance = Speed × Time or,
Time = Distance/Speed
To find the distance covered, we find the total speed
= 5 + 10(twice as fast on the trip back)
= 15
Distance = speed x time
= 15mph x 6hours
= 90miles
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PLS HURRY! Q3. What is the slope and y-intercept of the linear function?
The slope is ___ and the y-intercept is ____ .
The required slope of the linear function is $30, and the y-intercept is $75.
What is slope-intercept equation of line?When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.
According to question:To find the slope of the linear function, we need to calculate the change in cost divided by the change in time.
Change in cost = $285 - $105 = $180
Change in time = 7 - 1 = 6
Slope = Change in cost / Change in time = $180 / 6 = $30
To find the y-intercept, we can use the point-slope form of a linear equation, y = mx + b, where y is the cost, x is the time, m is the slope, and b is the y-intercept.
Using the point (1, $105), we can substitute x = 1 and y = $105 into the equation and solve for b:
$105 = $30(1) + b
b = $105 - $30 = $75
Therefore, the slope of the linear function is $30, and the y-intercept is $75.
The linear function can be written as: y = $30x + $75, where x is the number of months of membership and y is the cost of the membership.
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3. How many beats does a dotted whole note (o) get? (1 point)
08
04
05
06
Thus, In a rhythmic pattern where the whole note is equal to 4 beats, a dotted whole note (o) receives 6 beats.
How to find number beats a dotted whole note (o) get?A dot to the right of a note lengthens it by half of its original value in music notation.
A whole note that has a dot to the right of it is referred to as a dotted whole note. Whole notes typically receive 4 beats.
The note's overall duration is 4 + 2 = 6 beats after the dot adds the note's original duration by half.
Hence, 06 is the right response since a dotted whole note in a time signature where a whole note is equal to 4 beats receives 6 beats.
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helppppp write all answers under numbers
The congruent postulates for each triangle pair is given above.
What are congruent triangles?Congruent triangles have both the same shape and the same size.
Given are the triangles as shown in the image.
We can write the congruent postulates for each pair of triangles as -
{ 1 } - AAS {Angle - Angle - Side}
{ 2 } - SSS {Side - Side - Side}
{ 3 } - SAS {Side - Angle - Side}
{ 4 } - SAS {Side - Angle - Side}
{ 5 } - SAS {Side - Angle - Side}
{ 6 } - SAS {Angle - Side - Angle}
Therefore, the congruent postulates for each triangle pair is given above.
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Using the metric system, a ___ is 10 of a unit? A. Kilo B. Hecto C. Deka D. Base number
Using the metric system, a Deka is 10 of a unit. In the metric system, the prefix "deka" (also written as "deca") represents 10 of a unit. So, the correct option is C.
The metric system is an internationally recognized system of measurement that is used in many countries around the world. It is also known as the International System of Units (SI), and it is based on a decimal system, meaning that units are related to each other by powers of 10.
The metric system has a set of base units that are used to measure different types of quantities. The base units are:
Meter (m): used to measure length or distance
Kilogram (kg): used to measure mass or weight
Second (s): used to measure time
Each base unit has a set of prefixes that can be used to create larger or smaller units. These prefixes are based on powers of 10, and they are added to the base unit to indicate the size of the unit. Here are the most common prefixes and their meanings:
Kilo- (k): 1000 times the base unit (e.g., 1 kilogram = 1000 grams)
Hecto- (h): 100 times the base unit (e.g., 1 hectometer = 100 meters)
Deka- (da): 10 times the base unit (e.g., 1 dekagram = 10 grams)
Using these prefixes, you can create units that are appropriate for the quantity you are measuring.
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A teacher charges $2 for a
pencil to student who forgot to
bring one to class. If Nelson was
charged at least $30, how many
times did he forget his pencil?
Answer:
15 or more times
Step-by-step explanation:
30/2=15. It says that at least so 15 or more
Alice is willing to spend $30 on a pair of jeans and has a coupon for $10 off she found online. She selects and purchases a $35 pair of jeans, pre-discount. Determine whether this would create a producer or consumer surplus and calculate the ensuing surplus.
Consumer surplus $5 as we solve the Q by given data
Consumer surplus is the difference between the consumer's willingness to pay and the price of the commodity.
Consumer surplus in economics, also called social surplus or consumer surplus, is the difference between the price a consumer pays for a commodity and the price the consumer is willing to pay in exchange for giving it up.
Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.
Consumer Surplus = Willingness to Pay - Price of the Good.
Item Price = $35 - $10 = $25
$30 - $25 = $5
Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.
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14. A box of mineral water contains 24 bottles from a given factory. A woman bought 135 boxes from the company. If each bottle of water has a mass of 728g, find the total mass in kilograms of all the 135 boxes of water, correct to 1 decimal place.
The total mass of the 135 boxes that the woman bought is 2358.7 kg
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical operators like addition, subtraction, multiplication and division. Equations can be linear, quadratic.
Each bottle of water has a mass of 728g. A box of mineral water contains 24 bottles from a given factory, hence:
Mass of each box = 24 bottles * 728 g per bottle = 17472 g
The woman bought 135 boxes, therefore:
Total mass of boxes = 135 boxes * 17472 g per box = 2358720 g
But 1 kg = 1000 g
2358720 g = 2358720 g * 1 kg per 1000 g = 2358.7 kg
The total mass is 2358.7 kg
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4. Greta has finished reading 15 pages from a 20-page
magazine article. Which decimal represents the
fraction of the 20 pages Greta read?
A. 0.15
B. 0.35
C. 0.75
D. 1.33
Answer: C. 0.75
Step-by-step explanation:
formulate 15 ÷ 20
= 15/20
= 3/4 (convert 3/4 to a decimal)
= 0.75
In an online game, you receive -3 points for every banana your character slips on during a race. The total points from slipping on bananas during one race were at most -27. When the character slips, it takes 2 seconds for him to resume the race. Write and solve an inequality to find the least number of bananas your character slipped on. At least how many seconds of race time
Answer: Let's call the number of bananas your character slipped on as "x". Then, the total points from slipping on bananas would be -3x. And since the total points from slipping on bananas during one race were at most -27, we can write an inequality to represent this:
-3x ≤ -27
Now we'll solve for x:
Divide both sides by -3:
x ≥ 9
So, the least number of bananas your character slipped on is 9.
To find the least number of seconds of race time, we need to multiply the number of bananas by 2 seconds per banana:
9 bananas * 2 seconds/banana = 18 seconds
So, the least amount of race time your character took to slip on bananas is 18 seconds.
Step-by-step explanation:
You examine a contemporary DNA sculpture. You use a
curdboard square to line up the top and bottom of the sculpture with your eye, as shown at the left. Approximate the height of the sculpture
To answer this correctly, you could provide me with more information or details, I would be happy to try and help you approximate the height of the sculpture.
What is DNA?
DNA (Deoxyribonucleic acid) is a patch that contains the inheritable instructions used in the development and functioning of all living organisms. It's a long, double-stranded, spiral structure made up of four different structure blocks called nucleotides, which are represented by the letters A, T, C, and G. The specific sequence of these nucleotides along the length of the DNA patch determines the inheritable law of an individual organism and is responsible for its unique characteristics and traits. DNA is located in the nexus of cells and is organized into structures called chromosomes. It's essential for the replication of cells and the transmission of inheritable information from one generation to the coming.
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Choose ALL answers that describe the polygon below.
The shapes that describes the polygon are;
Parallelogram
Rectangle
Square
Quadrilateral
How to determine the properties of the figure
The figure has the properties of different shapes;
a. A square
The four sides of a square are equal and congruent
b. A parallelogram
Opposite angles of a parallelogram are congruent
c. A quadrilateral
It is a four-sided polygonIt has four edgesIt has four sides and four cornersd. A rectangle
Opposite angles are equal and congruent
Hence, the shape can be described as a square, parallelogram, quadrilateral and rectangle.
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10x-9y=46 and -2x+3y=5 solve using elimination
Answer:
x = 15.25
y = 71/6
Step-by-step explanation:
10x -9y = 46
-2x + 3y = 5
Time the second equation by 5
10x - 9y = 46
-10x + 15y = 25
6y = 71
y = 71/6
Now put 71/6 back in for y and solve for x
10x -9(71/6) = 46
10x -106.5 = 46
10x = 152.5
x = 15.25
Let's check
-2(15.25) +3(71/6) = 5
-30.5 + 35.5 = 5
5 = 5
So, x = 15.25 and y = 71/6 is the correct answer.
The number of people signed up for a bus trip increased from 32 to 45.what is the percent increase round to the nearest percent
Answer:
41
Step-by-step explanation:
You got to first divide 45 by 32. Which is 1.40625 so 1.40625 - 1 = 0.40625 x 100 = 40.625. Round to the nearest whole percent ... 41
the prefix that multiplies a basic si unit by 0.01 is
SI unit is an international system of measurements that are used universally in technical and scientific research to avoid the confusion with the units. Having a standard unit system is important because it helps the entire world to understand the measurements in one set of unit systems.
SI system“The International System of Units is abbreviated as SI.The SI system has seven base units.The SI system allows the use of prefixes to indicate the multiples or submultiples of a unit.SI prefix for [tex]10^-^9[/tex]The SI prefix for [tex]10^-^9[/tex] is nano.The symbol for nano is n.Learn more about SI unit at:
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The given question is incomplete, complete question is:
What is the SI prefix for each of the following multiples and submultiples of a unit?
[tex]10^-^9[/tex]
How to Calculate the Moment of Inertia for a Cylinder?
The moment of inertia (I) is a measure of an object's resistance to rotational motion around an axis. The moment of inertia of a cylinder can be calculated using the following formula:
I = (1/2) × m × r²
where:
I is the moment of inertia of the cylinder
m is the mass of the cylinder
r is the radius of the cylinder.
Here are the steps to calculate the moment of inertia for a cylinder:
Determine the mass of the cylinder. This can be done by weighing the cylinder on a scale or by using its density and volume. The formula for the mass of a cylinder is:
m = density × volume
Measure the radius of the cylinder. This is the distance from the center of the cylinder to its outer edge.
Substitute the values of m and r into the moment of inertia formula:
I = (1/2) × m × r²
Calculate the moment of inertia using a calculator.
Note that the moment of inertia of a hollow cylinder is different from that of a solid cylinder. To calculate the moment of inertia of a hollow cylinder, you need to subtract the moment of inertia of the hollow space from the moment of inertia of the solid cylinder using the parallel axis theorem.
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How long will it take Ramon to read the entire novel if he continues to read his current rate
Based on the provided information, a. Ramon reads faster and b.it will take Ramon approximately 16.77 hours to read the entire novel if he continues to read at his current rate.
To answer this question, we need to calculate the reading rate of both Skyler and Ramon, and then compare them to see who reads faster. We also need to use Ramon's reading rate to calculate how long it will take him to read the entire novel.
a. To calculate Skyler's reading rate, we can divide the number of pages she has read by the number of hours she has spent reading:
Skyler's reading rate = 145 pages / 5 hours = 29 pages/hour
Similarly, we can calculate Ramon's reading rate:
Ramon's reading rate = 124 pages / 4 hours = 31 pages/hour
Since Ramon's reading rate is higher than Skyler's, Ramon reads faster.
b. To calculate how long it will take Ramon to read the entire novel, we can use his reading rate and the total number of pages in the novel:
Time = Total number of pages / Reading rate
Time = 520 pages / 31 pages/hour = 16.77 hours
So, it will take Ramon approximately 16.77 hours to read the entire novel if he continues to read at his current rate.
In conclusion, Ramon reads faster than Skyler, and it will take him approximately 16.77 hours to read the entire Vigo the Vampire Hunter novel at his current reading rate.
Note: The question is incomplete. The complete question probably is: The new Vigo the Vampire Hunter novel is 520 pages. Skyler has read 145 pages in 5 hours. Ramon has read 124 pages in 4 hours. a. Who reads faster, Skyler or Ramon? b. How long will it take Ramon to read the entire novel if he continues to read at his current rate? Explain.
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Arrange the following decimals in ascending order.
4. 7569 ; 47. 569 ; 4.9675 ; 4.0007 ; 47. 965 ; 47.005 ; 4.5
Answer:
4.0007, 4.5, 4.7569, 4.9675, 47,005, 47.569, 47.965
Step-by-step explanation:
Find the interquartile range using the following information.
Lower Extreme: 2
Q1: 4
Median:
Q3: 14
Upper Extreme: 16
Group of answer choices
10
16
4
14
This is 25 pts
The interquartile range is 10 (first option)
What is the interquartile range?The interquartile range is the difference between the third quartile and the first quartile of a dataset. It is a measure of variation. The third quartile represents 75% of the dataset. While the first quartile represents 25% of the dataset.
Interquartile range = third quartile - first quartile
14 - 4 = 10
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There are only Year 10 pupils,
Year 11 pupils and Year 12
pupils in a group
The ratio of Year 10 to Year 11
is 1 : 40
The ratio of Year 11 to Year 12
is 10: 9
Find the ratio Year 10: Year
11: Year 12
Give your ratio in its simplest
form with integer parts.
The ratio for year 10: year 11: and year 12 will be 1: 40: 36.
What is ratio?The utilization of two or more additional numbers that compares is known as the ratio.
The ratio of Year 10 to Year 11 is 1: 40. Then the ratio is given as,
y₁₁ / y₁₂ = 1/40
y₁₁ / 1 = y₁₂ / 40 ...1
The ratio of Year 11 to Year 12 is 10: 9. Then the ratio is given as,
y₁₂ / y₁₃ = 10 / 9
y₁₂ / y₁₃ = 40 / 36
y₁₂ / 40 = y₁₃ / 36 ...2
From equations 1 and 2, then we have
y₁₁ / 1 = y₁₂ / 40 = y₁₃ / 36
y₁₁: y₁₂: y₁₃ = 1: 40: 36
The ratio for year 10: year 11: and year 12 will be 1: 40: 36.
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Seth made a small rectangular table for his workroom. The sides of the table are 36" and 18". If
the diagonal of the table measures 43", is the table square? A table which is "square" has right
angles at the corners.
No, the table is not a square.
What is a square?A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.
Given that, Seth made a small rectangular table having sides 36" and 18", and the diagonal measures 43",
Squares has congruent sides,
But here the sides are 36" and 18"
Hence, the table is not a square.
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Name the segments in the figure below.
**SCREENSHOT INCLUDED**
The segments in the figure are:
segment QT
segment QR
segment QS
segment RS
segment ST
segment RT
How to differentiate between a ray and a line?A line is a straight path of points that has no beginning or end.
A ray is a portion of a line which has one endpoint and extends forever in one direction.
Note: the arrow is an indication no endpoint.
Let's put the definitions:
Line QT (lines are bound by two arrows pointing left and right)
ray ST (rays are bound by a dot and an arrow)
ray RT
ray QT
ray TQ
ray SQ
ray RQ
segment QT (segments are bound by two dots)
segment QR
segment QS
segment RS
segment ST
segment RT
Check the attached image for the correct selection
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at the 1997 rate of consumption, about how long will the estimated 2,000 billion barrels of oil last?a. 25 yearsb. 50 yearsc. 75 yearsd. 200 yearse. 500 years
As the consumption rate of 1997 estimated 2,000 billion barrels of oil last in 74.34 approx 75 year .
As here the rate of 1997 is not given which will be find in the below link which is 73.7000 millions barrels per day was the consumption of oil. here we have awalible the data of per days and we have to calculate for year so in year 1997 there was 365 days so comsumption of oil yearly was .
1997 consumption = 73.700 million barrels per day
so for 1 year 73.700 million *365 =26,900.5 million barrels per day
her we find the rate of yearly so by this rate we will calculate the consumption of 2000 billion barrels of oil
2000 billion = 2,000,000 millions
here we are calculation this in million
so for 2,000,000 million will be
2,000,000 million /26,900.5 million =74.34 year
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The dimensions of a parallelogram are given in centimeters.
5.5, 4.5, 6cm.
What is the area of the parallelogram in square centimeters?
The area of the parallelogram is 27 square centimeters.
What is area?A region's size on a surface is determined by its area. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area might be thought of as how much material of a certain thickness would be required to create a model of the shape, or as how much paint would be required to completely cover the surface in a single application.
The area of the parallelogram is given as:
A = (b)(h)
Here, the base is 4.5cm and the height is 6 cm.
Thus,
A = (4.5)(6)
A = 27 square centimeters.
Hence, the area of the parallelogram is 27 square centimeters.
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