The number of banquets that can be formed is 6 and total number of flowers are 2+3=5.
What is the greatest common divisor?
the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, and y.
We have given,
Petal and Leaf florists currently have 30 roses, 36 carnations, and 54 tulips
Since it is given that there are 75 rose and 45 lily flowers. Therefore,
Factorise 30 as follows:
30 = 2 × 3 × 5
Factorise 36 as follows:
36 = 2 × 2 × 3 × 3
Factorise 54 as follows:
54 = 2 × 3 × 3 × 3
We know that HCF is the highest common factor.
Since the common factor between the numbers 30, 36, and 54 is 2×3=6.
Hence, the number of banquets that can be formed is 6 and total number of flowers are 2+3=5.
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where is the inequality shown? -4 to 5, 100 points for correct answer and need it urgently
Question content area left
Part 1
On a math test Ali needs to describe the motions which map ΔEFG to ΔMNO. The coordinates of ΔEFG are E(6,5), F(9,5), and G(6,10). The coordinates of ΔMNO are M(0,0), N(−3,0), and O(0,5). He says there is a translation 6 units to the left and 5 units down, followed by a reflection across the x-axis. Describe the sequence of rigid motions. What is Ali's likely error?
-10
-5
5
10
-10
-5
5
10
x
y
E
F
G
M
N
O
x y graph
.
.
.
Question content area right
Part 1
Which of the following is the description of the rigid motions which maps ΔEFG to ΔMNO?
A.
A translation 6 units to the left and 5 units down, followed by a reflection across the x-axis
B.
A translation 6 units to the left and 5 units down, followed by a reflection across the y-axis
C.
A translation 5 units to the left and 4 units down, followed by a reflection across the y-axis
Part 2
What is Ali's likely error?
A.
He reflected the triangle across the wrong axis.
B.
He did not move the correct units down.
C.
He did not move the correct units to the left.
There is a translation 6 units to the left and 5 units down, followed by a reflection across the x-axis is the description of the rigid motions which maps ΔEFG to ΔMNO and he reflected the triangle across the wrong axis is the Alis error.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given,
The coordinates of ΔEFG are E(6,5), F(9,5), and G(6,10).
The coordinates of ΔMNO are M(0,0), N(−3,0), and O(0,5)
A translation is a movement of the graph either horizontally parallel to the -axis or vertically parallel to the -axis
Reflections of graphs involve reflecting a graph over a specific line. Reflecting functions are functions whose graphs are reflections of each other.
There is a translation 6 units to the left and 5 units down, followed by a reflection across the x-axis is the description of the rigid motions which maps ΔEFG to ΔMNO and he reflected the triangle across the wrong axis is the Alis error.
Hence, there is a translation 6 units to the left and 5 units down, followed by a reflection across the x-axis is the description of the rigid motions which maps ΔEFG to ΔMNO and he reflected the triangle across the wrong axis is the Alis error.
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please help me thank you so much
Answer: 2* (2w + w) = 60
Step-by-step explanation: I believe this is correct because to find the perimeter, we need to add both length and width, so this answer is the only one that expresses 2w + w being multiplied by 2 to get 60. I hope this helped.
A person whose eyes are 1.64 m above the floor stands 2.30 m in front of a vertical plane mirror whose bottom edge is 38 cm above the floor. What is the horizontal distance x?
When the floor is 2.30 m in front of a vertical plane mirror and the bottom edge of the mirror is 38 cm above the floor, the horizontal distance from the mirror's base to the wall is 0.6935 m.
What is trigonometry?Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circle functions) that make up trigonometry.
Here,
Perpendicular Length,
=Vertical Distance of eyes - Vertical distance of the bottom edge of the mirror
=1.64-0.38
=1.26 m
Angle of Reflection,
= Perpendicular Distance / Distance between the person and mirror
tan θ=1.26/2.30
tan θ=0.548
θ=tan⁻¹(0.548)
θ=28.72°
Angle of Incidence = 90 degrees - angle of reflection
=90-28.72
γ=61.28°
Angle of incidence,
=Horizontal distance to floor / height of mirror
tan 61.28°=x/0.38
x=0.38*tan 61.28°
x=0.38*1.825
x=0.6935 m
The horizontal distance to the base of the wall is 0.6935 m when the floor stands 2.30 m in front of a vertical plane mirror whose bottom edge is 38 cm above the floor.
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34 pies are sold at $4.50 each.
What is the total cost of these items?
Answer:
$153
Step-by-step explanation:
Multiply the 2 numbers
Arturo compro una calculadora, para venderla recargó el precio que le costo en 30%. Al momento de venderla a su amiga Carmen, le hizo una rebaja de 30% pensando que con esta rebaja iba a vender el precio que habia comprado, pero sin embargo quedó peerjudicado en s/ 54.¿ A qué precio se vendio?
Answer:
5.46
Step-by-step explanation:
precio original = x
0.7(1.3x) = x - 0.54
0.91x - x = -0.54
x = 6
6 + 30% de 6 = 7.8
7.8 - 30% de 7.8 = 5.46
Arturo compró por 6.
Aumentó 30% para 7.80.
Bajó 30% para 5.46.
6 - 5.46 = 0.54
Consider the following argument:
Observation: Here in Nashville, the sun has risen every morning.
Conclusion: The sun is going to rise in Nashville tomorrow.
The argument is strong because there are a large number of observations
In the given argument and condition, (D) there are several observations, which strengthen the argument.
What is an argument?An argument is a statement or set of claims, known as premises, that seeks to evaluate the plausibility or acceptability of a conclusion.
The logical, dialectical, and rhetorical perspectives are the three basic areas of study for arguments.
Giving an argument entails offering a group of premises as justifications for believing the conclusion.
It's not always necessary to criticize or insult someone when making an argument.
Arguments can also be employed to back up the beliefs of others.
An example of an argument is as follows:
You should put in a lot of effort if you want to find a decent career.
So, in the given argument and condition, (D) there are several observations, which strengthen the argument.
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Complete question:
Consider the following argument:
Observation: Here in Nashville, the sun has risen every morning. Conclusion: The sun is going to rise in Nashville tomorrow.
a. The argument is weak because there is only one specific case.
b. The argument is strong because the premise includes scientific evidence.
c. The argument is weak because the observation does not consider other cities.
d. The argument is strong because there are a large number of observations.
Write the form of the partial fraction decomposition of the function (as in Example 4). Do not determine the numerical values of the coefficients.
The partial fraction decomposition of the function is given as follows:
A/x + B/x² + C/(5x² + 9) + D/(5x² + 9)².
How to obtain the partial fraction decomposition of the function?The function in this problem is defined as follows:
(x^4 + x² + 1)/(x²(5x² + 9)²)
Then the partial fraction decomposition is built considering the terms of denominator, as follows:
x².(5x² + 9)².When a term is elevated to a power, the terms with the lower powers also have to be considered. For example, for the denominator x², x is also considered, hence the denominators are given as follows:
x.x².5x² + 9.(5x² + 9)².Then, considering the coefficients A, B, C and D, the partial fraction decomposition of the function is given as follows:
A/x + B/x² + C/(5x² + 9) + D/(5x² + 9)².
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The graph shows the coordinates of triangle ABC. What are the coordinates of B' after a
reflection over the y-axis.
Answer:
(-4,5)
Step-by-step explanation:
Solve using the Square Root Property.
y^2 = 1/16
Answer:
1/4
Step-by-step explanation:
The square root of 16 is 4, so its the same with fractions.
Solve for y: . The solution is blank. The solution is 2(3y-4)=3(y-2/3)
Answer: y=2
Step-by-step explanation:
6y-8=3y-2
3y=6
y=2
Find the equation of the rational function f whose graph satisfies the conditions horizontal asymptote is y=0 vertical asymptote is x=-3 and contains the point (0,1)
A function assigns the values. The function is f(x) = (8x - 8)/(x² + 2x).
What is a Function?A function transfers each element's value from one set to a particular element in another set.
There is a denominator and a numerator in a rational function.
The x-values that the function approaches but never reaches are known as vertical asymptotes. We can get the vertical asymptotes by setting the denominator to zero.
Since x=-2 and x=0 are the vertical asymptotes, our function's denominator will be x(x+2) = x2+2x.
Y values that the function approaches but never reaches are known as horizontal asymptotes. The degree of the numerator must be less than the degree of the denominator since the horizontal asymptote is y=0. Our numerator will be x - 1 because the x-intercept is equal to 1.
At this time, One can assume that the function is f(x) = (x - 1)/(x2+2x).
Next, we must apply the f(2)=1 condition. If we enter x=2, f(x) ought to be equal to 1. However, we must multiply the function's right side by a constant called C.
Then, the constraint f(2)=1 must be used. F(x) should be equal to 1 if we substitute x=2. The right side of the function must be multiplied by a constant C, though.
1 = C(2 - 1)/(2²+2(2))
Solve for C.
1 = C / 8\s8 = C
Consequently, the equation will be f(x) = [8(x - 1)] / [(x2 + 2x)].
f(x) = (8x - 8) / (x² + 2x)
Thus, f(x) = (8x - 8)/(x2 + 2x) is the function.
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An employee works at a spin casting machine in a cast iron pipe manufacturing company located
in Charlotte, NC. She has various noise exposures throughout her 8-hour shift. The employee is
currently wearing MSA ear muffs with an NRR of 18 dB.
You have been asked to evaluate her noise exposure and determine if the current hearing protection
provided adequately protects her. You have a type II sound level meter to take noise measurements.
You have set he meter on A scale - slow response. Because the spin casting operation produces wind currents you also are using a wind screen.
After interviewing the employee and taking noise measurements with the sound level meter over the shift you have determined the following about her noise exposures:
95 dBA – for 6 hours while the spin casting machine is spinning
94 dBA – for 1.5 hours while the machine is set up between spins
82 dBA – for 30 minutes while in the lunchroom during breaks
a) What is her TWA noise exposure in dBA over the 8-hour shift?
b) Is the hearing protection adequate?
Answer:
ijsjsjdjdjjejjeks she e nsjksid the Earth travels in around the sun 6.2 Seasonal changes 6.3 Plants and animals are
Step-by-step explanation:
www2 and I 3333333 uth the sun is a bit better now and the Sun 6.2 is better off the moon
Drag each object to show whether cost is proportional to area in the situation represented.
Increasing the area from 400 to 600 (50%) results in an increase in cost from 500 to 750 (50% increase), which shows that the cost is not proportional to the area.
In a situation where cost is proportional to area, the relationship between cost and area is said to be directly proportional. Direct proportionality means that if the value of one variable (in this case, area) is multiplied by a certain factor, then the other variable (in this case, cost) will also be multiplied by the same factor. The mathematical formula for direct proportionality is [tex]y = kx,[/tex] where y and x are the two variables, and k is the constant of proportionality. If the relationship between the variables is not proportional, then it is a non-proportional relationship.
The objects are proportional if increasing one quantity by a certain factor results in the other quantity increasing by the same factor. In this case, cost is proportional to area if doubling the area would double the cost. Based on the table, we can see that the cost is not proportional to the area since the cost does not increase by the same factor as the area. For example, increasing the area from 400 to 800 (double) results in an increase in cost from 500 to 1000 (also double). However, increasing the area from 400 to 600 (50%) results in an increase in cost from 500 to 750 (50% increase), which shows that the cost is not proportional to the area.
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URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!!
What value of x would make these two solids similar?
A. X=27
B. X=31
C. X=30
D. X=7.75
Value of x would make these two solids similar when x is equal to 7.75.
Define similarity.When it comes to Euclidean geometry, two things are said to be similar if they have the same shape or the same shape as each other's mirror image. One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection. If two figures have the same shape, they are said to be comparable. In more formal terms, two figures are said to be comparable if their respective angles are congruent and their corresponding side length ratios are identical. The scale factor is the name given to this usual ratio.
Given
Two figures given
Value of x would make these two solids similar
D. X=7.75
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Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.
The number of arrangements when the order is considered is 12, Number of ways when the order is not considered is 6.
Permutaions and combinations:By choosing some items from a set and creating subsets, permutation and combination are two approaches to express a collection of things.
The act of placing every member of a set into a certain sequence or order is known as permutation.
The combination is a method of choosing things from a group in which (unlike permutations) the order of the choices is irrelevant.
The formula for Permutations is given by
ⁿP[tex]_{r}[/tex] = (n!)/(n-r)!The formula for Combinations is given by
[tex]_{n}[/tex]C[tex]_{r}[/tex] = (n!)/r!(n - r)!Here we have
4 letters A, B, C, and D
We need to choose 2 letters from the given 4 letters
When the order of the choices is taking consideration we use the formula of Permutations
The number of ways of arrangements, ⁴P₂ = (4!)/(4-2)!
= [tex]\frac{4\times 3\times\ 2!}{2!}[/tex] = [tex]4 \times 3[/tex] = 12
When the order of the choices is not taking consideration we use the formula of Combinations
Number of ways of arrangements, ₄C₂ = (4!)/2!(4 - 2)!
= [tex]\frac{4\times 3 \times \ 2!}{2! \times 2!}[/tex] = [tex]\frac{4\times 3 }{2 \times 1 }[/tex] = [tex]2\times 3[/tex] = 6
Therefore,
The number of arrangements when the order is considered is 12, Number of ways when the order is not considered is 6.
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Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form.
Answer:
7 5 15 22
step,by step explanation: yes
WRITE THE EQUATION OF THE CONIC SHOWN
Answer:
x² +y² -10x -8y +21 = 0
Step-by-step explanation:
try desmos graph
Iris’s checking account pays a simple interest at 2% per year. She has $175 in her account. Write a linear function to model the amount of money in her checking account at any time
The expression to model the amount of money will be 175 ^ 1.02^t.
What is the expression to model the amount?An expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
Since Iris’s checking account pays a simple interest at 2% per year. She has $175 in her account.
The function to model the amount of money in her checking account at any time will be:
= 175 ^ (1 + 2%)^t
= 175 ^ (1 + 0.02)^t
= 175 ^ 1.02^t
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How many reflections symmetries does a decagon shaped like a five- pointed star have? How many rotational symmetries does the decagon have? Draw the reflection symmetries on the decagon.
Decagon has a total of 5 reflection symmetries
A reflection symmetry of a shape is a line that divides the shape into two halves that are mirror images of each other. To find the number of reflection symmetries of the decagon, we can draw lines through the center of the decagon that pass through pairs of opposite vertices.
We can draw a total of 5 lines through the center of the decagon that pass through pairs of opposite vertices. Each of these lines is a reflection symmetry of the decagon. Therefore, the decagon has a total of 5 reflection symmetries.
A rotational symmetry of a shape is a rotation about a fixed point that leaves the shape unchanged.
To find the number of rotational symmetries of the decagon, we can count the number of times we can rotate the decagon about its center by 36 degrees (which is the central angle of the decagon) and obtain the same shape. In this case, we can rotate the decagon about its center by 36 degrees 10 times and obtain the same shape each time.
A decagon shaped like a five-pointed star has 10 sides and 5 vertices, and it looks like this:
unitsize (1.5 cm);
pair A, B, C, D, E, F, G, H, I, J;
A = dir(108);
B = dir(72);
C = dir(36);
D = dir(0);
E = dir(-36);
F = dir(-72);
G = dir(-108);
H = dir(-144);
I = dir(-180);
J = dir(-216);
draw(A--B--C--D--E--F--G--H--I--J--cycle);
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Luis bought some milk for his bakery. He used 2.4 gallons in one recipe, and 1/4 of the remaining miolk in another recipe. He had 3/8 of the milk left. How much milk did Luis buy?
From the values provided and basic arithmetic operations on the fractions, The answer is 4.8 gallons.
What are fractions?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
What are equations?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
milk brought = x
used in one recipe = 2.4
1/4 th of remaining milk = (x-2.4)/4
remaining at end = 3/8 of x
final equation,
x-(2.4+(x-2.4)/4)=3x/8
5x/8=2.4+x/4-3/5
5x/8=1.8+x/4
3x/8=1.8
x=4.8 gallons
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Find the missing length indicated.
The missing length in the given figure is 14.
What is meant by ratio?A ratio in mathematics depicts the product of two numbers. For instance, the proportion of oranges to lemons in a serving of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). In a similar vein, the ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8. (or 3:4). (or 4:7).
Any number of numbers, including counts of people or things, weights, lengths, and times, among other values, can be a component of a ratio. In settings, both numbers are often restricted to positive values.
A ratio's two constituent numbers can be specified as "a" and "b," or they can both be omitted.
From the given figure,
AC/BC=EC/DC
28+x/18=x/6
28+x=3x
2x=28
x=14
Therefore, the missing length in the given figure is 14.
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If BC = 16.7 ft, what is AY?
Please helpppp
Answer:
16.7
Step-by-step explanation:
YX is similar to AX
XZ is similar to XB
so the triangle AXB is similar to YXZ thus AB is YC
The same goes for the rest of the triangles (YAC and CBZ)
See image attached.
Lori gets an offer from another bank that is also paying 6% on CD’s, but is compounding interest daily. How much will the $1500 CD be worth in:
a) 5 years?
b) 10 years?
c) 18 months?
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
P = $1,500
r = 0.06
n = 365 times per year
t = varies
so: [tex]A(t)=\$1500(1+\frac{0.06}{365})^{365t}=\$1500(1.00016438)^{365t}[/tex]
a) A(5) = [tex]\$1500(1.00016438)^{365*5} = \$2,024.73[/tex]
b) A(10) = [tex]\$1500(1.00016438)^{365*10} = \$2,733.01[/tex]
c) 18 months = 1.5 years, so:
A(1.5) = [tex]\$1500(1.00016438)^{365*1.5} = \$1,641.25[/tex]
If α=.10 and β=.33, then the probability of rejecting the null when the alternative is true is ___.a. 0.10b. 0.90c. 0.33d. 0.67
The probability of rejecting the null when the alternative is true is d. 0.67
Given :
If α=.10 and β=.33, then the probability of rejecting the null when the alternative is true is .
Probability :
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Null hypothesis :
A null hypothesis is a type of statistical hypothesis that proposes that no statistical significance exists in a set of given observations.
we know that ,
probability = 2 * 0.33 + 0.01
= 0.66 + 0.01
= 0.67
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PLSSSS HELP THX U !!!!!!
The lowest price that Mike should pay for 7 days' juice consumption is £6.16.
How to calculate the cost per item?In order to calculate the cost of one item, divide the total cost of items by the total number of items. It is also called the unit rate of that item.
The per day requirement of Mike is 2/5 liters.
Then, for 7 days the requirement is 2/5 × 7 = 14/5 liters.
The rate of juice for 2 liter and 1 liter carton are given as £4.40 and £2.60 respectively.
Then, the unit rate for both the carton is given by 4.40/2 = £2.20 and £2.60 respectively.
Since, the two liter carton has less unit rate, it can be used for 7 days consumption.
Now, the lowest price paid by mike is given as,
Unit rate of 2 liter carton × Total requirement of milk for 7 days
⇒ 2.20 × 14/5
⇒ 6.16
Hence, the lowest price paid by mike is £6.16.
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In constructing a confidence interval for the mean, when the population standard deviation is unknown, then we use
a. normal distribution
b. binomial distribution
c. t-distribution
d. Poisson distribution
While constructing a confidence interval for the mean, when the population standard deviation is unknown, then we use normal distribution .
The error bound EBM and confidence interval are calculated using a standard normal distribution when the population standard deviation is unknown. We must determine the value of z that places an area in the centre of the standard normal distribution Z N that is equal to the confidence level (in decimal form) (0, 1).
We rarely know the population standard deviation in practise. When the sample size was huge is the , statisticians were not hindered by this. As an estimate for, they used the sample standard deviations, and they then carried out the same steps as before to compute a confidence range that produced near enough findings.
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Which graph represents the function f(x) = 2x-1/ x-1
To determine which graph represents the function [tex]$f(x)=\frac{2 x-1}{x-1}$[/tex]make following steps:
What is function?
A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x^2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.
Four main categories may be used to classify different sorts of functions. dependent upon element Function is defined as one to one, many to one, onto, one to one and into function.
1. The vertical asymptote is x=1.
2. Simplify the function[tex]f(x)=\frac{2 x-1}{x-1}=\frac{2 x-1-1+1}{x-1}=\frac{2(x-1)+1}{x-1}=2+\frac{1}{x-1}$[/tex].
Then the horizontal asymptote is y=2.
Only option C contains graph with such asymptotes.
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a) By completing the tables of values to help you, plot the lines y=3 x and y=x+6 on your axes.
b) Use your diagram to find the solution to the simultaneous equations y=3 x and y=x+6.
The point (3, 9) is the point which satisfies both the equation.
What is an equation?
In arithmetic, an equation may be a formula that expresses the equality of 2 expressions, by connecting them with the sign =
Main body;
A)According to the given equation:
y = 3x
y = 1 , x = 3
y = 2 , x = 6
y = 3 , x = 9
for the equation ,
y = x+6
y = 6 , x = 0
y = 5 , x = -1
y = 4 , x = -2
B) as y = 3x substitute it in other equation
3x = x+ 6
2x =6
x = 3
as y = 3x
y =3*3
y = 9
Hence ,point (3, 9) is the point which satisfies both the equation.
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17. Geometry The figure shown is a rectangle. The green shape in the figure is a square. The blue anc white shapes are rectangles, and the area of the blue rectangle is 24 square inches.
a. Write an expression for the area of the entire figure that includes an exponent. Then find the area.
b. Find the dimensions of the entire figure.
The expression for the area that includes an exponent is 6² + (6 × 2) + 24
Area of the entire figure is 72 square inches
The dimension of the entire figure is 9 inches by 8 inches
Calculating the area of a figureFrom the question, we are to write an expression for the area of the entire figure
Area of the entire figure = Area of green shape + Area of white shape + Area of blue shape
Area of the entire figure = 6² + (6 × 2) + 24 square inches
The expression is 6² + (6 × 2) + 24
Thus,
Evaluating
Area of the entire figure = 6² + (6 × 2) + 24
Area of the entire figure = 36 + 12 + 24
Area of the entire figure = 72 square inches
b. The dimension of the entire figure
Width of the entire figure = Length of the green square + Width of the white rectangle
Width of the entire figure = 6 inches + 2 inches
Width of the entire figure = 8 inches
Then,
Length of the entire figure = Length of the white rectangle + Width of the blue rectangle
First, we will determine the width of the blue rectangle
Using the formula,
Area = l × w
Where l is the length
and w is the width
24 = (2 + 6) × w
24 = 8 × w
w = 24/8
w = 3 inches
Therefore,
Length of the entire figure = 6 inches + 3 inches
Length of the entire figure = 9 inches
Hence, the dimension is 9 inches by 8 inches
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