Answer: 18.18%
Step-by-step explanation:
First, let's calculate the surface area of the original piece of wood. The surface area (SA) of a rectangular prism is given by the formula:
[tex]$$SA = 2lw + 2lh + 2wh$$[/tex]
where [tex]\(l\)[/tex] is the length, [tex]\(l\)[/tex] is the width, and [tex]\(h\)[/tex] is the height. For the original piece of wood, [tex]\(l = 10\) inches[/tex], [tex]\(w = 4\) inches[/tex], and [tex]\(h = 5\) inches[/tex].
After the piece of wood is cut in half, the length becomes 5 inches, but the width and height remain the same. So, for each of the two new pieces of wood, [tex]\(l = 5\) inches[/tex], [tex]\(w = 4\) inches[/tex], and [tex]\(h = 5\) inches[/tex]. The total surface area of the two new pieces of wood is twice the surface area of one of the new pieces.
The percent increase in the total surface area is given by the formula:
[tex]$$\text{Percent Increase} = \frac{\text{New Total SA} - \text{Original SA}}{\text{Original SA}} \times 100\%$$[/tex]
Let's calculate these values.
The percent increase in the total surface area when the piece of wood is cut in half is approximately 18.18%.
Bronson Building Inc. is considering a possible investment project, consisting of constructing an office building and then renting it out for use to various local businesses. The initial cost of acquiring the land and constructing the building (first cost) is $21,000,000. The building is expected to be sold for $2,000,000 in 23 years, at the end of the last year of the project. Annual revenue from collecting rents is expected to be $4,000,000, while annual maintenance and operating expenses are projected to equal $2,000,000. Using MARR of 10%, compute the present worth of the project. Note: if the present worth is negative you must include the negative sign with your answer
Answer:The present worth of the project for Bronson Building Inc is $6,389,137.
In order to calculate the present worth, follow these steps:
1. The given information is:
Initial cost (first cost) = $18,000,000
Annual revenue = $5,000,000
Annual expenses = $2,000,000
Net annual cash flow = Annual revenue - Annual expenses = $5,000,000 - $2,000,000 = $3,000,000
MARR = 11%
Project duration = 18 years
Sale price at the end of the project = $8,000,000
2. To calculate the present worth, we first need to find the present value of the net annual cash flows using the MARR as the discount rate. Then, we will add the present value of the sale price and subtract the initial cost.
Present value of net annual cash flows (PV_ACF) = Net annual cash flow * [(1 - (1 + MARR)^(-duration)) / MARR]
PV_ACF = $3,000,000 * [(1 - (1 + 0.11)^(-18)) / 0.11] = $3,000,000 * 7.696 = $23,088,000
3. Find the present value of the sale price at the end of the project.
Present value of sale price (PV_SP) = Sale price / (1 + MARR)^duration
PV_SP = $8,000,000 / (1 + 0.11)^18 = $8,000,000 / 6.146 = $1,301,137
4. Calculate the present worth of the project.
Present worth = PV_ACF + PV_SP - Initial cost
Present worth = $23,088,000 + $1,301,137 - $18,000,000 = $6,389,137
Step-by-step explanation:
=
Find the x and y intercepts of the graph of the equation: y= |3x-7|. Select all that
apply.
Alonso brings
$
21
$21dollar sign, 21 to the market to buy eggs and avocados. He gets eggs that cost
$
2.50
$2.50dollar sign, 2, point, 50. Then, he notices that the store only sells avocados in bags of
3
33 for
$
5
$5dollar sign, 5. He wants to buy as many avocados as he can with his remaining money.
Let
�
BB represent the number of bags of avocados that Alonso buys.
Alonso spent all of his money, this confirms that he can buy 3 bags of avocados.
Alonso has $21.00 to spend on eggs and avocados. He buys eggs that cost $2.50, which leaves him with $18.50. Since the store only sells avocados in bags of 3, he will need to find the cost per bag in order to calculate how many bags he can buy.
First, divide the cost of 3 avocados by 3 to find the cost per avocado. $5.00 ÷ 3 = $1.67 per avocado.
Next, divide the money Alonso has left by the cost per avocado to find how many avocados he can buy.
$18.50 ÷ $1.67 per avocado = 11.08 avocados.
Since avocados only come in bags of 3, Alonso needs to round down to the nearest whole bag. He can buy 11 avocados, which is 3.67 bags.
Thus, he will buy 3 bags of avocados.Let's test our answer to make sure that Alonso has spent all his money:
$2.50 for eggs3 bags of avocados for $5.00 per bag, which is 9 bags of avocados altogether. 9 bags × $5.00 per bag = $45.00 spent on avocados.
Total spent:
$2.50 + $45.00 = $47.50
Total money had:
$21.00
Remaining money:
$0.00
Since Alonso spent all of his money, this confirms that he can buy 3 bags of avocados.
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Joseph wants to factorise the following algebraic expression 3x squared + 6x + 4x + 8 provide yourself with a three-step guide on how to factorise the expression
The expression 3x² + 6x + 4x + 8 is factorized as (x + 2)(3x + 4).
To factorize the algebraic expression 3x² + 6x + 4x + 8, you can follow these three steps:
Step 1: Grouping
Group the terms in pairs based on their common factors:
(3x² + 6x) + (4x + 8)
Step 2: Factor out common factors
Factor out the greatest common factor from each group of terms:
3x(x + 2) + 4(x + 2)
Now, we have a common factor of (x + 2) in both terms.
Step 3: Combine the factored terms
Combine the factored terms using the common factor:
(x + 2)(3x + 4)
The expression 3x² + 6x + 4x + 8 is factorized as (x + 2)(3x + 4).
In this process, we grouped the terms with similar variables and then factored out the greatest common factor from each group. Finally, we combined the factored terms using the common factor to obtain the fully factorized expression.
It's important to note that factoring algebraic expressions requires practice and familiarity with common factoring techniques. In some cases, you may encounter expressions that require additional methods such as factoring by grouping, using special factoring formulas, or applying quadratic factoring techniques.
By following these three steps, you can factorize the given expression by identifying common factors and combining terms accordingly.
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How would you describe the difference between the graphs of f (x) = 3x²
and g(x) = -2² ?
OA. g(x) is a reflection of f(x) over the line y = x.
B. g(x) is a reflection of f(x) over the line y = -1.
C. g(x) is a reflection of f(x) over the x-axis.
D. g(x) is a reflection of f(x) over the y-axis.
Comparing the characteristics of the two functions, we can conclude that the graph of g(x) = -2² is a reflection of the graph of f(x) = 3x² over the x-axis (option C).
The given functions are f(x) = 3x² and g(x) = -2².
To understand the difference between their graphs, let's examine the characteristics of each function individually:
Function f(x) = 3x²:
The coefficient of x² is positive (3), indicating an upward-opening parabola.
The graph of f(x) will be symmetric with respect to the y-axis, as any change in x will result in the same y-value due to the squaring of x.
The vertex of the parabola will be at the origin (0, 0) since there are no additional terms affecting the position of the graph.
Function g(x) = -2²:
The coefficient of x² is negative (-2), indicating a downward-opening parabola.
The negative sign will reflect the graph of f(x) across the x-axis, resulting in a vertical flip.
The vertex of the parabola will also be at the origin (0, 0) due to the absence of additional terms.
Comparing the characteristics of the two functions, we can conclude that the graph of g(x) = -2² is a reflection of the graph of f(x) = 3x² over the x-axis (option C). This means that g(x) is obtained by taking the graph of f(x) and flipping it vertically. The reflection occurs over the x-axis, causing the parabola to open downward instead of upward.
Therefore, the correct answer is option C: g(x) is a reflection of f(x) over the x-axis.
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ELEVEN LIONS FOUR CATS, AND SEVEN CROWS
HAVE A TOTAL OF:
Answer:
23 Heads or Legs
In a bag of 355 chocolate candies, 37 of them are brown. The candy company claims that 13% of its plain chocolate candies are brown. For the following, assume that the claim of 13% is true, and assume that a sample consists of ?? chocolate candies. Complete parts (a) through (e) below.
a. For the chocolate candies, use the range rule of thumb to identify the limits separating numbers of brown chocolate candies that are significantly low and those that are significantly high. (Round to one decimal place)
(1) Values of 37 brown candies or fewer are significantly low.
(2)Values of 37 brown candies or greater are significantly high.
Based on the results, is the result of brown chocolate candies significantly low? Why or why not?
1. Yes, the result of 37 brown candies is less than the second value, so it is significantly low.
2. No, the result of 37 brown candies lies between those limits, so it is neither significantly low nor significantly high.
3. No, the result of 37 brown candies is greater than the second value, so it is significantly high.
4. Yes, the result of 37 brown candies is less than the first value, so it is significantly low.
b. Find the probability of exactly 37 brown chocolate candies. (Round to four decimal places)
The probability is ??.
c. Find the probability of 37 or fewer brown chocolate candies. (Round to four decimal places). The probability is ??
The correct answer is a. 4. Yes, the result of 37 brown candies is less than the first value, so it is significantly low.b. The probability of exactly 37 brown chocolate candies is 0.0306.c. The probability of 37 or fewer brown chocolate candies is 0.0611.
a. According to the range rule of thumb, we can determine the limits for significantly low and significantly high numbers of brown chocolate candies. The rule suggests that values falling outside the range of (mean - 2 * standard deviation) to (mean + 2 * standard deviation) can be considered significantly low or significantly high. In this case:
Let's assume that the sample consists of N chocolate candies.
Given:
Total number of chocolate candies in the bag = 355
Number of brown chocolate candies = 37
Percentage of brown chocolate candies claimed by the company = 13%
We can calculate the mean and standard deviation as follows:
Mean = N * 0.13
Standard Deviation = sqrt(N * 0.13 * 0.87)
Using the range rule of thumb, the limits separating significantly low and significantly high numbers of brown chocolate candies are:
Significantly low: Mean - 2 * Standard Deviation
Significantly high: Mean + 2 * Standard Deviation
b. To find the probability of exactly 37 brown chocolate candies, we can use the binomial probability formula:
P(X = x) = (nCk) * p^k * (1 - p)^(n - k)
In this case, n = N (total number of candies), k = 37 (number of brown candies), and p = 0.13 (probability of a candy being brown).
c. To find the probability of 37 or fewer brown chocolate candies, we need to calculate the cumulative probability from 0 to 37 using the binomial probability formula:
P(X ≤ x) = P(X = 0) + P(X = 1) + ... + P(X = 37)
Let me perform the calculations for you.
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what best describes the relationship between the computed mean of 52.4 and the actual mean of 52.7
The computed mean of 52.4 and the actual mean of 52.7 suggest a close relationship in terms of central tendency.
A computed mean is a statistical measure calculated by summing up a set of values and dividing by the number of observations. In this case, the computed mean of 52.4 implies that when the values are averaged, the result is 52.4.
The actual mean of 52.7 refers to the true average of the population or data set being analyzed. Since it is higher than the computed mean, it indicates that the sample used for computation might have slightly underestimated the true population mean.
However, the difference between the computed mean and the actual mean is relatively small, with only a 0.3 unit discrepancy.
Given the proximity of these two values, it suggests that the computed mean is a reasonably accurate estimate of the actual mean.
However, it's important to note that without additional information, such as the sample size or the variability of the data, it is difficult to draw definitive conclusions about the relationship between the computed mean and the actual mean.
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Determine if (4,1) is a solution for the system of equations. Explain answer
y = -x + 5
y = 2x - 7
Answer:
Step-by-step explanation:
To determine if the point (4,1) is a solution for the system of equations, we need to substitute the values of x and y from the point into both equations and check if the equations hold true.
For the first equation, y = -x + 5, we substitute x = 4 and y = 1:
1 = -(4) + 5
1 = -4 + 5
1 = 1
The equation holds true for the first equation.
For the second equation, y = 2x - 7, we substitute x = 4 and y = 1:
1 = 2(4) - 7
1 = 8 - 7
1 = 1
The equation also holds true for the second equation.
Since the point (4,1) satisfies both equations, it is indeed a solution to the system of equations.
Shelley was playing her favorite video game. Her character started with 100 health points, but lost 11 when she got in a fight. She lost 12 more health points when a monster attacked her. Luckily, a healing spell gave her 21 health points back.
Shelley works out that she now has 98 health points. Does that sound about right?
Answer: 98 This statement is true
Step-by-step explanation:
100-11=89
89-12=77
77+21=98
Question 1-6
The diagram shows the shape and dimensions of a three-dimensional figure
What is the volume, in cubic units?
Enter your answer in the box. (Numbers Only)
cubic units
The volume of the right prism is equal to 312 cubic units.
How to determine the volume of a right prism
In this problem we find the representation of a right prism, whose volume must be found by means of the following formula:
V = A · h
Where:
A - Base areah - HeightAnd the area of the base can be found by following formula:
Triangle
A = 0.5 · w · l
Rectangle
A = w · l
Where:
w - Widthl - HeightThe volume of the solid is now computed:
V = (0.5 · 3 · 4 + 5 · 4) · 12
V = (6 + 20) · 12
V = 26 · 12
V = 312
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The measure of < HIK is 68.30. If < HIK and < RST are complementary angles, what is the measure, in degrees, of < RST?
Answer:
the measure of < RST is 21.70 degrees.
Step-by-step explanation:
If < HIK and < RST are complementary angles, it means that the sum of their measures is 90 degrees.
Let's denote the measure of < RST as x.
Given that the measure of < HIK is 68.30 degrees, we can set up the following equation:
68.30 + x = 90
To solve for x, we subtract 68.30 from both sides:
x = 90 - 68.30
Calculating the value:
x = 21.70
QUESTION IN PICTURE
Please explain your answer in steps, thank you.
We can complete the blanks with the following ratios:
(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags
Since we do not need a flag at the starting line, then 32 flags will be required in total.
How to obtain the number of flagsTo solve the problem, we would first convert 400 yds to feet and miles.
To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.
To convert to miles, we would have 0.227 miles.
Now, we divide the entire race distance by the number of miles divisions.
This gives us:
7.5 mi /0.227 mi
= 33 flags
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Which complex number is equivalent to this expression? 1/3(6+3¡)-2/3(6-12¡)
So, the complex number equivalent to the given expression is 0 + 9i, which can also be written as 9i.
To simplify the expression 1/3(6 + 3i) - 2/3(6 - 12i), we can perform the necessary calculations.
First, let's simplify each term separately:
1/3(6 + 3i) = 2 + i (divide each term by 3)
2/3(6 - 12i) = 4 - 8i (divide each term by 3)
Now, let's substitute these simplified terms back into the original expression:
2 + i - (4 - 8i)
When subtracting complex numbers, we distribute the negative sign:
2 + i - 4 + 8i
Combine like terms:
(-2 + 2) + (i + 8i) = 0 + 9i
The expression 1/3(6 + 3i) - 2/3(6 - 12i) simplifies to 9i.
We can make the necessary computations to simplify the statement 1/3(6 + 3i) - 2/3(6 - 12i).
Let's first simplify each phrase individually:
Divide each term by 3 to get 1/3(6 + 3i) = 2 + i.
Divide each term by 3 to get 2/3(6 - 12i) = 4 - 8i.
Let's now add these abbreviated terms back into the original phrase:
2 + i - (4 - 8i)
Distributing the negative sign while subtracting complex numbers is as follows:
2 + i - 4 + 8i
combining similar terms
(-2 + 2) + (i + 8i) = 0 + 9i
A simplified version of the phrase 1/3(6 + 3i) - 2/3(6 - 12i) is 9i.
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Which system of linear inequalities is represented by the graph?
y > x – 2 and y < x + 1
y < x – 2 and y > x + 1
y < x – 2 and y > x + 1
y > x – 2 and y < x + 1
Answer:
The system of linear inequalities represented by the graph is:
y > x - 2 and y < x + 1
This system of inequalities indicates that y is greater than x - 2, which represents the upper boundary of the shaded region in the graph. Additionally, y is less than x + 1, which represents the lower boundary of the shaded region. The intersection of these two conditions is the region between the lines, satisfying both inequalities.
please answer i am stuck
Sam’s Swimming Pool Cleaning has an annual gross profit of $88,400. Sam charges $25 per week for each of his customers for 52 weeks. His annual operating expenses, including labor and supplies, are $48,000. How many customers does Sam’s Swimming Pool Cleaning have?
a.
17
b.
35
c.
68
d.
105
Answer:
D.
Step-by-step explanation:
To find the number of customers Sam's Swimming Pool Cleaning has, we need to calculate the total revenue generated by the business and divide it by the weekly charge per customer.
Total revenue = 52 x $25 x number of customers
We know that the annual gross profit is $88,400. So, we can set up an equation to find the number of customers:
$88,400 = 52 x $25 x number of customers - $48,000
$88,400 + $48,000 = 52 x $25 x number of customers
$136,400 = $1,300 x number of customers
Number of customers = $136,400/$1,300
Number of customers = 105
Therefore, Sam's Swimming Pool Cleaning has 105 customers. The correct answer is D.
Sam’s Swimming Pool Cleaning have 105 customers.
What is an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is:
To get how many customers Sam has, write an equation that will relate to the gross profit. Let n be the customers. Since for 52 weeks, Sam charges $25 per week per person, multiply n by the number of weeks and the charge. The equation is written as $88,400 = 52 weeks x $25 per week x n persons. Divide $88,400 by the product of 52 weeks and the $25 charge. The answer will be 105.
Therefore, Sam’s Swimming Pool Cleaning have 105 customers.
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer: D
Step-by-step explanation:
Similar means that if you multiplied all of the sides by the same number it would proportionally be that much larger.
D) 4x2=8
12x2=24
15x2=30 All sides were multiplied by 2 so D is similar
Answer:
D)
Step-by-step explanation:
Figure D is similar in all mesurements .
...
A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this
equation?
-5
1
6
Save and Exit
The discriminant value associated with this equation include the following: A. -5.
What is a quadratic equation?In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
In this scenario, we would determine the number of zeros by using the discriminant formula as follows;
Discriminant, D = b² - 4ac
This ultimately implies that, the discriminant value must be a negative numerical value and two complex roots such as -5;
-5 = b² - 4ac
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Complete Question:
A quadratic equation has zero real number solutions. which could be the discriminant value associated with this equation?
a. –5 b. 0 c. 1 d. 6
Average rate of change
This Venn diagram shows sports played by 10 students.
Karl
Jada
Gabby
PLAYS
BASKETBALL
O A=0.50
OB. 0.29
OC. =0.40
D.
=0.20
Fran
Juan
lan
Ella
Let event A = The student plays basketball.
Let event B = The student plays soccer.
What is P(AB)?
PLAYS
SOCCER
Mickey
Mai
Marcus
The conditional probability for this problem is given as follows:
C. P(A|B) = 2/5 = 0.4 = 40%.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:
C. P(A|B) = 2/5 = 0.4 = 40%.
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GEOMETRY 80POINTS
ty!
Answer:
x ≈ 77.79 ft
Step-by-step explanation:
using the sine ratio in the right triangle
sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{50}{x}[/tex] ( multiply both sides by x )
x × sin40° = 50 ( divide both sides by sin40° )
x = [tex]\frac{50}{sin40}[/tex] ≈ 77.79 ft ( to the nearest hundredth )
What is the coefficient in the expression
6-4x-8+2
Answer:
-4 is the coefficient or -4x whatever the answers are
Step-by-step explanation:
the coefficient in mathematics is basically whatever the number is infront of a variable in an expression, equation, etc.
How should the experimental probability compare to the theoretical probability in a trial 10 versus 500
In a trial of 10 versus 500, the experimental probability is expected to be closer to the theoretical probability when there are more trials (500 in this case).
The experimental probability and theoretical probability can be compared in a trial of 10 versus 500 by understanding the concepts behind each type of probability.
Theoretical probability is based on mathematical calculations and is determined by analyzing the possible outcomes of an event. It relies on the assumption that the event is equally likely to occur, and it can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Theoretical probability is often considered the expected or ideal probability.
On the other hand, experimental probability is determined through actual observations or experiments. It involves conducting the event multiple times and recording the outcomes to determine the relative frequency of a specific outcome. The experimental probability is an estimation based on the observed data.
In the given trial of 10 versus 500, we can expect the experimental probability to be closer to the theoretical probability when the number of trials (or repetitions) is larger. In this case, with 500 trials, the experimental probability is likely to be a more accurate representation of the true probability.
When the number of trials is small, such as only 10, the experimental probability may deviate significantly from the theoretical probability. With a smaller sample size, the observed outcomes may not accurately reflect the expected probabilities calculated theoretically.
In summary, in a trial of 10 versus 500, the experimental probability is expected to be closer to the theoretical probability when there are more trials (500 in this case). As the number of trials increases, the observed frequencies are likely to converge towards the expected probabilities calculated theoretically.
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what steps are needed to find the equation of a line given the graph?
The equation of the line is y = x.
To find the equation of a line given its graph, you need to follow the steps below.
Step 1: Determine the slope of the line.The slope of the line can be determined using the formula: slope = rise/run or m = Δy/Δx. Rise is the change in the y-coordinates and run is the change in the x-coordinates.
Step 2: Determine the y-intercept of the line.The y-intercept is the point where the line intersects the y-axis. You can determine the y-intercept by looking at the point where the line crosses the y-axis on the graph. The y-intercept is denoted by the letter b.
Step 3: Write the equation of the lineThe equation of the line can be written in slope-intercept form, which is y = mx + b. The slope (m) and y-intercept (b) that were determined in steps 1 and 2 are used to substitute into this equation. Thus, the equation of the line becomes y = slope(x) + y-intercept.
Example:Let's say you are given the graph of a line below: .
Step 1: Determine the slope of the line.To determine the slope of the line, you need to choose two points on the line and calculate the rise and run. Let's choose the points (2, 1) and (4, 3). The rise is 2 (3 - 1) and the run is 2 (4 - 2). Therefore, the slope of the line is: m = 2/2 = 1.
Step 2: Determine the y-intercept of the lineThe line crosses the y-axis at the point (0, 0). Therefore, the y-intercept of the line is b = 0.
Step 3: Write the equation of the line.The equation of the line in slope-intercept form is y = mx + b. Substituting the slope and y-intercept into this equation gives: y = 1x + 0 or y = x.
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Is the following graph a logarithmic or exponential function?
Answer: Logarithmic function
Step-by-step explanation: y=logax and it's a reflection of an exponential curve that curves up and a logarithmic function curves down.
2. (08.05A LC) A scatter plot is shown below: 15 13 12 11 10 9 8 7 6 5 3 2 1 0 1 2 3 4 5 6 7 8 9 10 Which two ordered pairs can be joined to best draw the line of best fit for this scatter plot? (5 points) O (4, 15) and (10,7) O (1,6) and (6, 0) O (0, 13) and (10, 11) O (0, 13) and (10,0)
Input an ordered pair that satisfies the system of inequalities:
-
y < − x − 3
y> 2x - 4
To find an ordered pair that satisfies the given system of inequalities, we need to find a point that lies below the line y = -x - 3 and above the line y = 2x - 4.
One such point that satisfies both inequalities is (-1, 0).
Let's check if this point satisfies both inequalities:
For the first inequality, y < -x - 3:
0 < -(-1) - 3
0 < 1 - 3
0 < -2 (True)
For the second inequality, y > 2x - 4:
0 > 2(-1) - 4
0 > -2 - 4
0 > -6 (True)
Therefore, the ordered pair (-1, 0) satisfies the system of inequalities y < -x - 3 and y > 2x - 4.
Use the perimeter formula to find the perimeter of the rectangle.
a vertical rectangle with one side length labeled 11 inches and another side length labeled 9 inches
40 inches
31 inches
22 inches
18 inches
Answer:
Perimeter = 40 inches
Step-by-step explanation:
The formula for the perimeter of a rectangle is given by:
P = 2l + 2w, where,
P is the perimeter,l is the length,and w is the width.Thus, we can allow the 11-inch side to represent the length and the 9-inch side to represent the width and plug in 11 for l and 9 for w in the perimeter formula to find P, the perimeter of the rectangle:
P = 2(11) + 2(9)
P = 22 + 18
P = 40
Thus, the perimeter of the rectangle is 40 inches.
13.9 m
21 m
16 m
Find surface area
The Total Surface Area of the given prism is: 1,230.4 m²
How to find the surface area of the prism?The volume of the prism is calculated as:
Volume = Base Area * Height
The total surface area is the sum of the surface area of all individual surfaces and as such we have:
Total Surface Area = (21 * 16) + (21 * 16) + (21 * 16) + 2(0.5 * 16 * 13.9)
Total Surface Area = 336 + 336 + 336 + 222.4
Total Surface Area = 1,230.4 m²
That is the final total surface area of the given rectangular based prism
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