The total cost of painting his basement floor is $51.70.
How to calculate total cost ?To find the total cost of the paint including HST, we first need to calculate the total area of the basement floor that needs to be painted. We can do this by multiplying the length by the width:
Area of basement floor = length x width
Area of basement floor = 2.5 m x 2.3 m + 1.8 m x 2.3 m
Area of basement floor = 5.75 m² + 4.14 m²
Area of basement floor = 9.89 m²
Now, we can calculate the number of cans of paint needed:
Number of cans = Area of basement floor / Area covered by each can
Number of cans = 9.89 m² / 3.5 m²
Number of cans = 2.8257
Number of cans = 3
The total cost of the paint without HST would be:
Total cost = Number of cans x Cost per can
Total cost = 3 x $15.25
Total cost = $45.75
To calculate the HST, we need to multiply the total cost by the HST rate (13% or 0.13):
HST = Total cost x HST rate
HST = $45.75 x 0.13
HST = $5.95 (rounded to two decimal places)
Finally, we can find the total cost including HST by adding the total cost and the HST:
Total cost including HST = Total cost + HST
Total cost including HST = $45.75 + $5.95
Total cost including HST = $51.70
Therefore, the total cost of the paint including 13% HST is $51.70.
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I need help! Please include an explanation.
The location of A ' given the rotation about the origin and the xy coordinate plane is D. In Quadrant IV.
How to find the location ?To rotate a point 180° about the origin, we switch the signs of both coordinates. For instance, if you have ( x, y ) rotated, then it becomes ( - x , - y ).
So, if A is located at (-4, 3), then A' is located at (4, -3).
The point A' is located in Quadrant IV, because it has a positive x-coordinate and a negative y-coordinate, which is the characteristic of points in this quadrant.
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Use technology to find an exponential model that is a reasonable fit for the data.
F(x)=
ALGREBRA l
The optimal strategy would be to fit several models to the data using equation mathematical software or tools, and then assess the goodness of fit using statistical metrics like R-squared or Mean Squared Error.
What is equation?In a mathematical equation, the equals sign (=), which connects two claims and denotes equality, is utilized. In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a space. Mathematical expressions can be used to describe the relationship between the two sentences on either side of a letter. The logo and the particular piece of software frequently correspond. like, for instance, 2x - 4 = 2.
The following exponential model could be a good fit for the data in the image:
[tex]f(x) = 7.5 * e^(0.1x) (0.1x)[/tex]
The data is assumed to develop exponentially with a base of e in this model, with a growth rate of 10% for each unit increase in x.
It is crucial to remember that this is only one potential model and that other exponential models with other parameters could also be able to satisfactorily match the data. The optimal strategy would be to fit several models to the data using mathematical software or tools, and then assess the goodness of fit using statistical metrics like R-squared or Mean Squared Error.
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anyone know these answers ?
Answer:
10^9 = 1,000,000,000
2^6 = 64
7^1 = 7
10^3 = 1,000
10^8 = 100,000,000
0^4 = 0
7^6 = 117,649
Step-by-step explanation:
The exponent multiplies a number by itself by whatever value it is.
Answer:
↓ ↓ ↓
Step-by-step explanation:
1)
[tex]\tt 10^1=\boxed{10}[/tex]2)
[tex]\tt 1^8=\boxed{1}[/tex]3)
[tex]\tt 7^4=\boxed{2401}[/tex]4)
[tex]\tt 10^9=\boxed{1000000000}[/tex]5)
[tex]\tt 2^6=\boxed{64}[/tex]6)
[tex]\tt 7^1=\boxed{7}[/tex]7)
[tex]\tt 10^3=\boxed{1000}[/tex]8)
[tex]10^8=\boxed{100000000}[/tex]9)
[tex]\tt 0^4=\boxed{0}[/tex]10)
[tex]\tt 7^6=\boxed{117649}[/tex]________________________
Hope this helps! :)
Chris throws a ball upward. The height of the ball, in meters, t seconds after being
thrown is modeled by h (t)= 8t-5t² +4. After how many seconds will the ball reach
the ground?
Answer:
When the ball hits the ground, its height will be 0 meters. Therefore, we need to solve the equation:
h(t) = 0
8t - 5t^2 + 4 = 0
We can solve this quadratic equation by factoring or by using the quadratic formula, but in this case, it's easier to use factoring:
(5t - 4)(t - 1) = 0
From this equation, we can see that either 5t - 4 = 0 or t - 1 = 0. Solving for t in each case, we get:
5t - 4 = 0 ==> t = 0.8 seconds
t - 1 = 0 ==> t = 1 second
Therefore, the ball will reach the ground after either 0.8 seconds or 1 second, depending on the initial height of the ball.
Solve the problem using your graphing calculator. Round all parameter values to the nearest hundredth. Gracie keeps track of her energy bill during the winter months. She recorded her results in the following table: Mean Temperature (°F) Electricity Bill ($) 16 143 19 164 26 141 36 118 18 172 47 50 34 121 15 275 17 250 41 75 43 211 What is the value of the correlation coefficient?
The mean temperature increases, the electricity bill decreases.
What is the scatter plots?
A scatter plot is a type of graph that is used to display the relationship between two continuous variables.
To find the correlation coefficient, we first need to plot the data points on a scatter plot. We can use a graphing calculator to do this.
Here are the steps:
Press the STAT button on your calculator.Press the EDIT button to enter the data into lists.Enter the Mean Temperature values into L1 and the Electricity Bill values into L2.Press the STAT button again, then select CALC.Choose option 4: LinReg (ax+b).Enter L1 as the X List and L2 as the Y List.Make sure the Freq setting is set to 1.Press ENTER to calculate.The calculator will display the equation of the line of best fit, as well as the correlation coefficient (r).
Using these steps, we get a correlation coefficient of approximately -0.83. Rounded to the nearest hundredth, the correlation coefficient is -0.83.
This negative correlation coefficient indicates a strong negative relationship between mean temperature and electricity bill.
Hence, the mean temperature increases, the electricity bill decreases.
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A merry go round is 8 feet away from a wall and has a radius of 42
feet. From the starting point, the merry go round rotates 130°
counter clockwise. Use the diagram below to find the distance from
the wall at point A. Round your answer to the nearest hundreth.
130°
42 feet
start
Using law of cosine, the distance from the wall at point A is approximately 21.32 feet.
What is the distance from the wall at point AWe can use the law of cosines to find the distance from the wall at point A. Let's call this distance d.
In the triangle formed by the center of the merry-go-round, point A, and the point where the merry-go-round touches the wall (let's call this point B), we know that:
Angle AOB (the central angle formed by the rotation of 130 degrees) is 130 degrees.Side OA (the radius of the merry-go-round) is 42 feet.Side AB (the distance we want to find) is d + 8 feet (since the merry-go-round is 8 feet away from the wall).Side OB (the distance from the center of the merry-go-round to the wall) is 8 feet.Using the law of cosines, we have:
(8)^2 = (42)^2 + (d + 8)^2 - 2(42)(d + 8)cos(130)
Simplifying and solving for d, we get:
d = sqrt[ (8)^2 - (42)^2 cos^2(130) ] - 8
Plugging in the values, we get:
d ≈ 21.32 feet
Therefore, the distance from the wall at point A is approximately 21.32 feet.
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Starting from home, you drive a certain distance south to Best Buy to get a new monitor for your computer. You then drive 5 miles west to return that awful shirt your mother bought you for your birthday. You then drive 25 miles home. How far is it from your home to Best Buy?
Answer:
To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, we can consider the distance from home to Best Buy as the hypotenuse, and the distance traveled west and south as the other two sides.
Let's call the distance from home to Best Buy "x". Then, using the Pythagorean theorem:
x^2 = (distance south)^2 + (distance west)^2
We know that the distance west is 5 miles, and the distance home is 25 miles. We don't know the distance south, so let's call that "y".
Then we have:
x^2 = y^2 + 5^2
25^2 = y^2 + 5^2
Solving for y, we get:
y^2 = 25^2 - 5^2
y^2 = 600
y = sqrt(600)
y = 24.49 (rounded to two decimal places)
Now we can plug in y to find x:
x^2 = y^2 + 5^2
x^2 = 24.49^2 + 5^2
x^2 = 625.12
x = sqrt(625.12)
x = 25.00 (rounded to two decimal places)
Therefore, the distance from home to Best Buy is approximately 25 miles.
Step-by-step explanation:
The question is present in the problem
The solution to the given equation √(2x + 9) = 7 is x = 20.
What is the radical equation?Any equation that contains a radical symbol is considered a radical equation. To find the square roots, cubic roots, and higher, radical symbols are used.
The equation is given as follows:
√(2x + 9) = 7
Square both sides of the above equation,
2x + 9 = 7²
2x + 9 = 49
Subtract 9 from both sides of the above equation,
2x = 49 - 9
2x = 40
Divide by 2 into both sides of the equation,
x = 40/2
x = 20
Thus, the solution to the given equation is x = 20.
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What is the equation for calculating the area of a triangle?
A =
base · height
A = length · width
A = pi · height
A =
base · height
The equation for calculating the area of a triangle is:
A = 1/2 * base * height
where A represents the area of the triangle, base represents the length of the base of the triangle, and height represents the height of the triangle measured perpendicularly to the base.
PLS ANYONE HELP ME ANYONE?!!!!!??!!!
The correct ordered pair for the data is (1, 2), (2, 4), (3, 6), and (4, 8). The correct option is A.
What is an ordered pair?An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples or 2-length sequences.
Number of Boxes of Popcorn Cost ($)
1 2
2 4
3 6
4 8
The ordered pair of the data is,
(1, 2),
(2, 4),
(3, 6),
(4, 8),
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The Chrysler Building is 1050 feet tall. Sally built a scale model of the building. How tall is the model if she used the scale 1 centimeter = 35 feet?
SHOW THE WORK DOWN BELOW YOUR ANSWER!!! PLEASE AND THANK YOU!!
How do I evaluate the limit?
In answering the question above, the solution is As a result, when x gets function closer to infinity, the function's limit is equal to 0.
what is function?Mathematicians investigate the relationships between numbers, equations, and related structures, as well as the locations of forms and possible placements for these items. A set of inputs and their corresponding outputs are referred to as a "function" in this context. If each input results in a single, unique output, the relationship between the inputs and outputs is known as a function. Each function has its own domain, codomain, or scope. A common way to denote functions is with the letter f. (x). is an x for entry. One-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.
The idea of dominating words can be used to solve this constraint. We see that the denominator x2+8 grows significantly greater than the numerator x-6 as x goes to infinity, therefore we may disregard the smaller component in the numerator and denominator.
As a result, the phrase may be simplified as follows:
Limit x (x - 6) / (x2 + 8) goes to infinity
x / (x2) limit x approaches to infinity
= limit x approaches to infinity 1 / limit x
= 0
As a result, when x gets closer to infinity, the function's limit is equal to 0.
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The expression 9(2)5x+109(2)5x+10 is rewritten as 9(h)x+29(h)x+2. What is the value of h?
The value οf h is apprοximately 2.83. Sο the answer is (A) 2.
What is the expοnential expressiοns?Expοnential expressiοns invοlve a base number raised tο a pοwer οr expοnent. The expοnent indicates hοw many times the base number shοuld be multiplied by itself.
We can simplify the expressiοn [tex]9(2)^{5x+10}[/tex] as follows:
[tex]9(2)^{5x+10} = 9(32)^{x+10}[/tex]
We can then rewrite this expression as [tex]9(h)^{x+2},[/tex] where h is a variable:
[tex]9(h)^{x+2} = 9(32)^{x+10}[/tex]
Comparing the expοnents of h and 32, we can see that h = [tex]2^{(5/2)}[/tex], or h = 2 * sqrt(2) = 2.83 (rounded to twο decimal places).
Hence, the value οf h is approximately 2.83. So the answer is (A) 2.
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how to solve this?
given
[tex] \frac{4}{25} = 0.16[/tex]
what is
[tex] \frac{21}{25} [/tex]
as a decimal
Answer:
= 0.375
Step-by-step explanation:
then 3/8 to it decimal fraction
[tex] \frac{3}{8} \\ = 0.375[/tex]
For the graph below which of the following is a possible function for f
From the given options, option 1 depicts a decreasing function. Hence, option 1 is the correct answer for the graph.
What is decreasing function graph?Calculus uses a function's derivative to determine whether a function is rising or decreasing at various intervals in a specific domain. Given a given function, y = F(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases.
We observe that the function of f approaches to 0 as it moves towards infinity. Thus, it is a decreasing function.
From the given options, option 1 depicts a decreasing function. Hence, option 1 is the correct answer.
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Divide 480g in the ratio 5,3,4
The weights of the three parts are 200g, 120g, and 160g, respectively, in the ratio of 5:3:4.
What is Ratio?
A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.
To divide 480g in the ratio 5:3:4, we need to divide the total amount into 3 parts (corresponding to the three parts of the ratio), where the first part is 5/12 of the total, the second part is 3/12 (or simplified, 1/4) of the total, and the third part is 4/12 (or simplified, 1/3) of the total.
To find the weight of the first part (in the ratio of 5), we need to multiply the total weight by the fraction representing the first part of the ratio:
5/12 * 480g = 200g
To find the weight of the second part (in the ratio of 3), we need to multiply the total weight by the fraction representing the second part of the ratio:
1/4 * 480g = 120g
To find the weight of the third part (in the ratio of 4), we need to multiply the total weight by the fraction representing the third part of the ratio:
1/3 * 480g = 160g
Therefore, the weights of the three parts are 200g, 120g, and 160g, respectively, in the ratio of 5:3:4.
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I need help its due today
Answer: the image didnt send with this try reposting
Step-by-step explanation:
this is a little funny out of context tho, best of luck be upon you
Ms. Monroe ordered 24 costumes from Tip-Tap dance supply for each of her dance students to wear at an upcoming recital. Since she ordered during the store's end-of-season sale, Tip-Tap took $3.50 off the price of each costume. Ms. Monroe paid $516 in all.
Answer:
the original price of each costume was $25, and the sale price was $(25-3.50) = $21.50.
Step-by-step explanation:
Let the original price of each costume be $x. The sale price of each costume will be $(x-3.50). Ms. Monroe ordered 24 costumes, so the cost of 24 costumes at the sale price will be:
24 × (x-3.50) = $24x - $84
Ms. Monroe paid $516 in all, so we can write:
24x - 84 = 516
Adding 84 to both sides, we get:
24x = 600
Dividing both sides by 24, we get:
x = 25
Therefore, the original price of each costume was $25, and the sale price was $(25-3.50) = $21.50.
Answer: so Ms.Monroe got $84 off her entire purchase
Step-by-step explanation: I hope it helps
Please help with this thank you
The number of hours till Ed and Julie were 875 miles apart was 7 hours.
How to find the time ?Since Ed and Julie are traveling in opposite directions, we can think of their distances from Good Life City as two separate distances that are adding up to their total distance apart.
For Ed, his distance from Good Life City is:
= 60 t
For Julie :
= 65t
We want to know how many hours it took for their total distance to be 875 miles. So we can set up the equation:
875 = 60t + 65t
Simplifying, we get:
875 = 125t
t = 875 / 125
t = 7 hours
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4. The table shows the number of votes
of 120 students for their choice of field
trip. Match the field trip with the
measure of each section in a circle
graph used to display the data.
Aquarium
Science museum
Botanical gardens
Planetarium
Mus Malaha
54°
00
0
0
72°
00
0
0
90°
0
0
0
0
Field Trip
Aquarium
Science museum
Botanical gardens
Planetarium
144°
□
0
U
Number of Votes
30
48
18
24
The sectors of the circle graph is solved and the field trip with the measure of section is
Aquarium = 90°
Science Museum = 144°
Botanical Gardens = 54°
Planetarium = 72°
What is the Area of the Sector?In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.
The formula for Area of a sector is given as;
θ/360 * πr²
where;
θ is the central angle of the sector
r is radius
Now, looking at the given options we can say that the only one that represents the area of the sector is;
A = n/360 * πr²
where n is the central angle of the sector
Given data ,
Let the area occupied by the circle be represented as A
Now , the values of A are
Let the field trip be represented as y
Let the number of votes be represented as x
y = { Aquarium , Science Museum , Botanical Gardens , Planetarium }
x = { 30 , 48 , 18 , 24 }
Now , the total sector angle occupied by field trip is T = 120°
x₁ = ( 30/120 ) x 360
x₁ = ( 1/4 ) x 360
x₁ = 90°
when x₂ = 48
x₂ = ( 48/120 ) x 360
x₂ = ( 0.4 ) x 360
x₂ = 144°
when x₃ = 18
x₃ = ( 18/120 ) x 360
x₃ = ( 0.15 ) x 360
x₃ = 54°
when x₄ = 18
x₄ = ( 24/120 ) x 360
x₄ = ( 0.2 ) x 360
x₄ = 72°
Hence , the measures of the section of circle is solved
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What would the value of x be?
Hence the value of x from the given diagram is 4.5
The triangular altitude theoremThe relationship between the height on the hypotenuse of a right triangle and the two line segments it generates on the hypotenuse is described by the right triangle altitude theorem, also known as the geometric mean theorem, which is a consequence of elementary geometry.
From the diagram shown:
6/8 = x/6
Cross multiply
6*6 = 8x
36 = 8x
x = 36/8
x = 4.5
Hence the value of x from the diagram is 4.5
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Given that £1 = $2, how much is $30 worth in Pounds (£)?
Answer:
15£
Step-by-step explanation:
if 1£=2$
then30$=30/2
15£
Nicholson purchased a piece of equipment on for $60,000. The equipment has an estimated useful life of eight years or 50,000 units of production and an estimated salvage value of $6,000. The amount of depreciation to be recorded for year 2 using the straight-line method of calculating depreciation, is
The amount of depreciation to be recorded for year 2 using the straight-line method of calculating depreciation is $6,750.
What is the amount of depreciation to be recorded for year 2?Straight-line depreciation is calculated by dividing a fixed asset's depreciable base by its useful life. The depreciable base is the difference between an asset's all-in costs and the estimated salvage value at the end of its useful life.
By using the straight-line method of calculating depreciation, the annual depreciation expense would be calculated as follows:
= (Purchase Price - Salvage Value) / Useful Life
= ($60,000 - $6,000) / 8 years
= $54,000 / 8 years
= $6,750.
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Jorge's 3/4 hr drive to a job was part city and part country drivingIf 2/11 hr was city driving, how much time was spent on country driving?
Using arithmetic operation, the value for time spent on country driving is obtained as 25/44 hour.
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
Jorge's drive was 3/4 hour, and 2/11 hour of that time was spent on city driving.
To find the time spent on country driving, we can use arithmetic operation of subtraction.
Subtract the time spent on city driving from the total driving time -
Time spent on country driving = Total driving time - Time spent on city driving
= 3/4 hour - 2/11 hour
To subtract these fractions, we need a common denominator.
The smallest number that 4 and 11 both divide into is 44 -
3/4 = 33/44
2/11 = 8/44
So -
Time spent on country driving = 33/44 hour - 8/44 hour
= (33 - 8)/44 hour
= 25/44 hour
Therefore, Jorge spent 25/44 hour driving on country roads.
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Each of the three oldest children sleeps in a twin bed. They all need bed sheets. A brand of sheets is on sale for “Buy one get one at 50% off”. If each sheet costs $18.00, how much will two sheets cost? How much will six sheets cost?
Using arithmetic operations, The total cost of six sheets will be:
$27.00 + ($9.00 x 4) = $63.00
If each sheet costs $18.00, then the cost of the first sheet will be $18.00, and the cost of the second sheet will be 50% of $18.00, or $9.00.
So, two sheets will cost the cost of the first sheet plus the cost of the second sheet, which is:
Using addition,
$18.00 + $9.00 = $27.00
For six sheets, we can use the same logic: the first two sheets will cost $27.00, and the next four sheets will be half off. So, the cost of the next four sheets will be 50% of $18.00, or $9.00 each.
Hence, the total cost of six sheets will be:
$27.00 + ($9.00 x 4) = $63.00
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Write an equation to find p, the number of pounds of food that an adult manatee can eat in d days?
Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.
Here,
Let's assume that an adult manatee eats "r" pounds of food per day on average. Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d
Here, "p" represents the number of pounds of food, "r" represents the average amount of food consumed per day, and "d" represents the number of days. So, if we know the average amount of food consumed by an adult manatee per day, we can use this equation to calculate how much food it will eat in any given number of days.
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The area of a circle is 367pie ft².
What is the diameter of the circle?
Enter your answer in the box below.
Which equation is written in slope-intercept form?
Oy=3x-2
x=y+8
O x=
O 2x+5y = 12
O3y=8x-5
Genbrug
Answer:
Step-by-step explanation:
The equation written in slope-intercept form is: y=3x-2.
Be wise as thou art cruel; do not press
My tongue-tied patience with too much disdain;
Lest sorrow lend me words, and words express
The manner of my pity-wanting pain.
If I might teach tee wit, better it were,
Though not to love, yet, love, to tell me so;
As testy sick men, when their deaths be near,
No news but health from their physicians know;
For, if I should despair, I should grow mad,
And in my madness might speak ill of thee:
Now this ill-wresting world is grown so bad,
Mad slanderers by mad ears believed be.
That I may not be so, nor thou belied,
Bear thine eyes straight, though thy proud heart go wide.
What is the rhyme scheme of the poem?
A. aabb ccdd eeff gg
B. aaaa bbbb cccc dd
C. abab cdcd efef gg
D. abcb defe ghih jj
The rhyme scheme of the poem is abab cdcd efef gg. The rhyme scheme creates a sense of symmetry and balance in the poem.
what is rhyme scheme?A poem's rhyme system is its regular pattern of final rhymes. It is written using alphabetical letters, each of which stands for a particular rhyme sound. A poem with the rhyme scheme ABAB, for instance, follows a pattern where the first and third lines rhyme, and the second and fourth lines rhyme.
According to question:The poem's rhyme scheme can be mathematically described by utilising letters to denote the various rhyming sounds. "Abab cdcd efef gg" is the rhyme pattern used in this poem. This can be written as follows using letters to represent the various sounds:
The last word of the first line rhymes with the last word of the third line (a)The last word of the second line does not rhyme with any other line (b)The last word of the fourth line does not rhyme with any other line (c)The last word of the fifth line rhymes with the last word of the seventh line (d)The last word of the sixth line does not rhyme with any other line (e)The last word of the eighth line does not rhyme with any other line (f)The last word of the ninth line rhymes with the last word of the tenth line (g)This pattern is repeated throughout the entire poem, creating a consistent and structured rhyme scheme.
Therefore the rhyme scheme is abab cdcd efef gg.
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Please help me solve !!!!
Answer:
length of rectangular prism: 9 feet
width of rectangular prism: 9 feet
Step-by-step explanation:
volume= length x width x height
567/7=81
Since 81 cubic feet squared is the area of the base; the square bottom, you will need to find the square root of 81 which is 9 since 9 times 9 equals 81.