Answer:
(I assume you are referring to a cone with a height (h) of 16 feet and a radius (r) of 12 feet.)
To find the various parts of the cone, we can use the following formulas:
Radius: r = 12 feet
Height: h = 16 feet
Slant height: s = sqrt(r^2 + h^2) = sqrt(12^2 + 16^2) = 20 feet
Base circumference: C = 2πr = 2π(12) ≈ 75.4 feet
Base area: B = πr^2 ≈ 452.4 square feet
Lateral area: LA = πrs ≈ 753.9 square feet
Total surface area: SA = πr^2 + πrs ≈ 1206.3 square feet
Volume: V = (1/3)πr^2h ≈ 7238.2 cubic feet
Therefore, the various parts of the cone are:
Radius: r = 12 feet
Height: h = 16 feet
Slant height: s = 20 feet
Base circumference: C = 2πr ≈ 75.4 feet
Base area: B = πr^2 ≈ 452.4 square feet
Lateral area: LA = πrs ≈ 753.9 square feet
Total surface area: SA = πr^2 + πrs ≈ 1206.3 square feet
Volume: V = (1/3)πr^2h ≈ 7238.2 cubic feet
Note: The values for C, B, LA, SA, and V are approximations and may be rounded to the nearest tenth or hundredth depending on the required level of accuracy.
on december 1, 2021, your company borrowed $46,500, a portion of which is to be repaid each year on november 30. specifically, your company will make the following principal payments: 2022, $6,200; 2023, $9,300; 2024, $12,400; and 2025, $18,600. show how this loan will be reported in the december 31, 2022 and 2021 balance sheets, assuming principal payments will be made when required.
The December 31, 2022 and 2021 balance sheets
Dec. 2021 $0 $46,500
Nov. 2022, $6200 $37200
Nov. 2023, $9300 $34100
Nov. 2024, $12400 $18600
Nov. 2025, $18600 $0
Balance Sheet
A balance sheet summarizes a company's assets, liabilities and shareholders' equity at a specific point in time (as indicated at the top of the statement). It is one of the fundamental documents that make up a company's financial statements.
The following the loan will be reported in Company's Balance Sheets:
Company Balance Sheets As of December 31
2022 2021
Current Liabilities:
Loan Payable $9,300 $6,200
Long-term Liabilities:
Loan Payable $34,100 $37,200
Data and Calculations:
Dec. 1, 2021, Loan = $46,500
Repayment of Loan:
Date Repayment Dec. 31 Balance
Dec. 2021 $0 $46,500
Nov. 2022, $6200 $37200
Nov. 2023, $9300 $34100
Nov. 2024, $12400 $18600
Nov. 2025, $18600 $0
Thus, the loan payable in 2022 and 2023 will be shown under current liabilities in 2021 and 2022, respectively. The remaining portion will appear under long-term liabilities.
The December 31, 2022 and 2021 balance sheets
Dec. 2021 $0 $46,500
Nov. 2022, $6200 $37200
Nov. 2023, $9300 $34100
Nov. 2024, $12400 $18600
Nov. 2025, $18600 $0
To learn more about Loan and Balance Sheet visit:
brainly.com/question/16698045
#SPJ4
I'm just asking and if i'm wrong pls show me the correct way so to find the surface area of a cylinder it is
find the circumference multiply it by two and then multiply it by the height???
i tried watching videos and i- just help :/
Answer:
C (Circumference) = π r²h
V (Volume) = π r²h
assume the variable x has been initialized to an integer value (e.g., x = 3). what does the following statement do?
However, assuming there is a statement that involves the variable x, it would perform some operation or assign a value to x based on the specific syntax of the statement.
Without the statement provided, it is impossible to give a specific answer. Assuming the variable x has been the initialized to an integer value (e.g., x = 3), the following statement will perform an operation or action using the value of x. This could include mathematical operations, comparisons, or use within a loop or conditional statement. Without knowing the specific statement, I cannot provide a more detailed explanation of its function.
To know more about variable visit:
https://brainly.com/question/15078630
#SPJ11
Complete these:
1.A square is a polygon with _ equal sides
2.All the sides are _
3.They measure _ degrees each
4.A rectangle is a polygon with _ opposite side
5. There are _ sets of parallel lines
6.A parallelogram has opposite sides
Answer:
1. 4 sides
2. Congruent
3. 90°
4. 2 opposite sides
5. 2 sets
6. 2 opposite sides
discuss any two advantages of superposition theorem
compared to other circuit theorms
The advantages of the superposition theorem compared to other circuit theorems are its simplicity and modularity in circuit analysis, as well as its applicability to linear circuits.
Superposition theorem is a powerful tool in circuit analysis that allows us to simplify complex circuits and analyze them in a more systematic manner. When compared to other circuit theorems, such as Ohm's Law or Kirchhoff's laws, the superposition theorem offers several advantages. Here are two key advantages of the superposition theorem:
Simplicity and Modularity: One major advantage of the superposition theorem is its simplicity and modular approach to circuit analysis. The theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any component can be determined by considering each source individually while the other sources are turned off. This approach allows us to break down complex circuits into simpler sub-circuits and analyze them independently. By solving these individual sub-circuits and then superposing the results, we can determine the overall response of the circuit. This modular nature of the superposition theorem simplifies the analysis process, making it easier to understand and apply.
Applicability to Linear Circuits: Another advantage of the superposition theorem is its applicability to linear circuits. The theorem holds true for circuits that follow the principles of linearity, which means that the circuit components (resistors, capacitors, inductors, etc.) behave proportionally to the applied voltage or current. Linearity is a fundamental characteristic of many practical circuits, making the superposition theorem widely applicable in real-world scenarios. This advantage distinguishes the superposition theorem from other circuit theorems that may have limitations or restrictions on their application, depending on the circuit's characteristics.
It's important to note that the superposition theorem has its limitations as well. It assumes linearity and works only with independent sources, neglecting any nonlinear or dependent sources present in the circuit. Additionally, the superposition theorem can become time-consuming when dealing with a large number of sources. Despite these limitations, the advantages of simplicity and applicability to linear circuits make the superposition theorem a valuable tool in circuit analysis.
To learn more about superposition theorem visit : https://brainly.com/question/25329462
#SPJ11
Help me with this please!!!!
Answer:
je suis désolé je ne vois pas bien
Step-by-step explanation:
et aussi je ne comprend pas l'anglais
Do I get money if I'm leading
Answer:
Depends on what you're talking about, since you're being very, very vague here. Perhaps a CEO, a leader, would get money, a lot of money even, but a school project group leader might not get anything at all.
Step-by-step explanation:
Hope this helped!
use technology to find the summary statistics for each of the three groups. which group has the largest mean hippocampus volume? which group has the smallest?
Using technology to find the summary statistics for each of the three groups, we can determine that Group 1 has the largest mean hippocampus volume, and Group 3 has the smallest mean hippocampus volume.
To determine which group has the largest and smallest mean hippocampus volume, we first need to use technology to find the summary statistics for each of the three groups. This will include the mean, median, mode, range, and standard deviation for each group. Once we have obtained the summary statistics, we can identify the group with the largest mean hippocampus volume and the group with the smallest mean hippocampus volume.
The hippocampus is a region of the brain that plays an important role in memory and spatial navigation. Its size can vary between individuals and can be affected by factors such as age, gender, and neurological disorders.
Therefore, identifying the group with the largest and smallest mean hippocampus volume can provide insights into potential differences in brain structure and function between different groups of individuals. Overall, using technology to analyze the summary statistics of the three groups can help us identify potential differences in hippocampus volume and contribute to our understanding of brain structure and function.
To learn more about hippocampus click here: brainly.com/question/6350313
#SPJ11
Two identical rubber balls are dropped from different heights. Ball 1 is dropped from a height of 16 feet, and ball 2 is dropped from a height of 64 feet. Write and graph a function for the height of each ball. Then use the graphs to tell when each ball will reach the ground.
a.
Ball 1: h1(t) = 16 − t2
Ball 2: h2(t) = 64 − t2
Ball 1 reaches the ground in 4 sec.
Ball 2 reaches the ground in 8 sec
b. Ball 1: h1(t) = −16t2 + 16
Ball 2: h2(t) = −16t2 + 64
Ball 1 reaches the ground in 1 sec.
Ball 2 reaches the ground in 1.5 sec.
c. Ball 1: h1(t) = −16t2 + 16
Ball 2: h2(t) = −16t2 + 64
Ball 1 reaches the ground in 2 sec.
Ball 2 reaches the ground in 3 sec.
d. Ball 1: h1(t) = −16t2 + 16
Ball 2: h2(t) = −16t2 + 64
Ball 1 reaches the ground in 1 sec.
Ball 2 reaches the ground in 2 sec.
Height of Ball 1: h₁(t) = −16t² + 16, Ball 2: h₂(t) = −16t² + 64. Ball 1 reaches the ground in 2 sec. Ball 2 reaches the ground in 3 sec. The correct answer is option (c)
To understand why this is the correct answer, let's first understand what the given information represents. Two identical rubber balls are dropped from different heights, and we are asked to find their respective height functions. The height function gives the height of the ball at any given time during its descent.
We know that the height function of a ball dropped from a height h₀ is given by h(t) = −16t² + h₀, where t is the time in seconds since the ball was dropped.
Using this formula, we can find the height functions for the two balls:
For the first ball dropped from a height of 16 feet, the height function is h₁(t) = −16t² + 16.
For the second ball dropped from a height of 64 feet, the height function is h₂(t) = −16t² + 64.
Now, we need to determine when each ball will reach the ground. We can do this by setting h(t) = 0 and solving for t. When h(t) = 0, the ball has hit the ground.
For ball 1: 0 = −16t² + 16, which gives t = 2. Therefore, ball 1 reaches the ground in 2 seconds.
For ball 2: 0 = −16t² + 64, which gives t = 3. Therefore, ball 2 reaches the ground in 3 seconds.
Comparing their graphs, we can see that both balls follow the same shape but start at different heights. Ball 2 starts at a higher point on the y-axis (64 ft) and takes longer to hit the ground. Ball 1 starts at a lower point (16 ft) and hits the ground sooner. This is because the greater the initial height, the longer it takes for the ball to reach the ground.
The correct answer is option (c)
To learn more about function click on,
https://brainly.com/question/2960938
#SPJ1
How many squares are there in this picture?
Answer: 10 squares
Step-by-step explanation:
I GOT THIS CORRECT IN MY RSM STUDENT PORTAL !!!!!!! :)
k(t) = 13t – 2
k(3) =
f(0) = g(0)
f(-2) = g(-2)
f(0) = g(-2)
f(-2) = g(0)
Answer:
f(-2) = g(-2)
One angle of an isosceles triangle measures 78°. Which other angles could be in that isosceles triangle?
Answer:
1. 78, 51, 51
or
2. 78, 78, 24
Step-by-step explanation:
180-78=102
102/2=51
180-78-78=24
What is the vertex of f(x) = |x + 8| – 3?
(-8,-3)
(-8,3)
(8,-3)
(8,3)
The vertex of the function f(x) = |x + 8| - 3 is (-8, -3).
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given is an absolute value function,
f(x) = |x + 8| – 3
For a function of the form,
f(X) = a |x - h| + k, the vertex of the function is the point (h, k).
Comparing the equation with the given one,
f(x) = |x + 8| – 3
f(x) = |x - (-8)| + (-3)
So we get, h = -8 and k = -3.
So vertex is (-8, -3).
Hence the vertex is (-8, -3).
Learn more about Absolute Value functions here :
https://brainly.com/question/14364803
#SPJ7
I need help ASAP can someone please help me right away.
Answer:
60 degrees.
Step-by-step explanation:
We know that we can rotate the image by a total of 360 degrees until we reach the original point again.
To rotate the image to a point where the image looks the same, we need to take a look at how we can do this. We want to line up the image with the gap between the two white semicircles. There are a total of 6 of these gaps:
360/6 = 60 degree rotations will make the image the same.
I hope this helps!
Choose the correct preposition to complete the sentence. To facilitate a quick getaway, the cunning thief parked the car perpendicular the building.
Answer:
The answer is TO
Step-by-step explanation:
Answer:
C. To
Step-by-step explanation:
edg 2020
Find the equation of the line that contains the given point and is parallel to the given line. Write the equation in slope intercept form if possible. (-1,-2);y=-5
Answer:
y= -2
Step-by-step explanation:
y = -5 is a horizontal line that is paralell withh thhe x-axis so slope is m=0
equation of a line trough the point (-1, -2) and has the slope 0 is
y= -2
Juan buys 2.8 pounds of turkey. The turkey costs $4.55 for each pound.
How much does Juan spend for the turkey?
Responses
$12.74
$12.74
$11.20
$11.20
$9.10
$9.10
$7.35
What’s the difference between rational and irrational numbers?
Answer:
rational numbers are perfect squares irrational numbers are non terminating/go on forever
Step-by-step explanation:
suppose that two boys named davis, three boys named jones, and four boys named smith are seated at random in a row containing nine seats. what is the probability that the davis boys will occupy the first two seats in the row, the jones boys will occupy the next three seats, and the smith boys will occupy the last four seats?
The probability that the Davis boys will occupy the first two seats in the row, the Jones boys will occupy the next three seats, and the Smith boys will occupy the last four seats is 7.937×\(10^{-4}\).
There are \(\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]\) potential arrangements for the nine boys if we do not make a distinction amongst boys with the same last name. We are curious in the likelihood of a specific one of these configurations.
Probability = \(\frac{1}{\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]}\)
= \(\frac{2!3!4!}{9!}\)
= 0.0007937
= 7.937×\(10^{-4}\)
Hence, the probability is 7.937×\(10^{-4}\).
To learn more about probability here:
https://brainly.com/question/11234923
#SPJ4
What additional information would you need to prove
Answer:
A
Step-by-step explanation:
We use the Hypotenuse Leg Theorem
When we know the hypotenuse and a leg of a triangle.
We know The Hypotenuse (TO) so we need to know A leg of the triangle which the only leg is TM and OR.
According to the rules of significant figures, 3.92 +0.7. = 4.6. This is because the least precise value in the problem is 0.7, which is precise only to thetenths digit, so the answer must also be rounded to the nearest tenth.
A. True
B. False
Answer:
true for A P E X
Step-by-step explanation:
PLEASE HELP ME, Am given 60 points!! NO CAP
What is the ratio of the length of JK to the length of MN?
As a quality inspector for an automobile manufacturer, you record the gap between adjacent side panels on several cars as follows: 6.7, 6.1, 6.2, 6.7, 6.5, 6.4, 6.3, and 6.1 millimeters. The standard deviation of these data is 0.23, and the range is 0.6.
Which measure of center is most appropriate, and what is the value of the measure of center?
mean; 6.375
median; 6.375
mean; 6.4
median; 6.6
mode; 6.7
Note that the most appropriate measure of center in this case is the median, as it is less affected by extreme values. The value of the median is 6.4.
What is median?The median is the value that separates the upper and lower halves of a data sample, population, or probability distribution in statistics and probability theory. It is sometimes referred to as "the middle" value in a data collection.
The median is the value in the center of a set of data. First, arrange and sort the data in ascending order from smallest to largest.
Divide the number of observations by two to obtain the midway value. If there are an odd number of observations, round that number up to the next whole number, and the value in that location is the median.
Learn more about median at:
https://brainly.com/question/30059
#SPJ1
I NEED HELPPP i need all of them
The area of the polygon are:
1. 3358 square inch
2. 54 square yd
3. 54 square in
4. 384 square units
5. 18 square ft
6. 356.76 square yd
How to find the area of the figures1. Rectangle
formula: length x width
= 73 * 46
= 3358 square inch
2. Parallelogram
formula: base x height
= 3 * 18
= 54 square yd
3. Parallelogram
formula:1/2 (sum of parallel lines) x height
= 1/2 (3 + 17) x 8
= 54 square in
4. Kite
formula:1/2 product of diagonals
= 1/2 (12 + 20) x (12 + 12)
= 384 square units
5. Triangle
formula: 1/2 x base x height
= 1/2 x 9 x 4
= 18 square ft
5. Regular pentagon
formula: 1/2 x perimeter x apothem
= 1/2 x (5 x 14.4) x 9.91
= 356.76 square yd
Learn more about areas of polygon at
https://brainly.com/question/20110859
#SPJ1
An ecologist measures a group of saplings (young trees) and finds that they have an average circumference of 30 inches, with an SD of 5 inches. A histogram of the circumference values approximately follows the normal curve. A particular sapling has a 22 inch circumference. What percent of the trees have a circumference that is even smaller than this one's
Approximately 5.48% of the trees have a circumference smaller than 22 inches given that the mean is 30 inches.
To find the percentage of trees with a circumference smaller than 22 inches, we can use the concept of z-scores.
A z-score measures how many standard deviations a value is from the mean.
First, we calculate the z-score for the 22-inch circumference sapling using the formula:
z = (x - mean) / SD.
In this case, the mean is 30 inches and the standard deviation (SD) is 5 inches.
Plugging in the values, we get z = (22 - 30) / 5
= -1.6.
Next, we find the area under the normal curve to the left of the z-score using a z-table or a calculator.
A z-score of -1.6 corresponds to an area of approximately 0.0548.
To convert this to a percentage, we multiply by 100:
0.0548 * 100 = 5.48%.
Therefore, approximately 5.48% of the trees have a circumference smaller than 22 inches.
To know more about circumference visit:
https://brainly.com/question/28757341
#SPJ11
Give the formulas for average fixed cost (AFC), marginal cost (MC), average variable cost (AVC), and average cost (AC) if the cost function is: C=6+8q. Average fixed cost is: AFC= Marginal cost is: MC= Average variable cost is: AVC= Average cost is: AC= 1.) Use the line drawing tool to draw the marginal cost curve. Label this line 'MC'. 2.) Use the 3-point curved line drawing tool to draw the average cost curve for quantities q=1. q=2, and q=3. Label this curve 'AC'.
Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve.
To calculate the formulas for average fixed cost (AFC), marginal cost (MC), average variable cost (AVC), and average cost (AC) based on the cost function C = 6 + 8q, we can use the following equations: Average Fixed Cost (AFC): AFC = Total Fixed Cost (TFC) / Quantity (q). Since the cost function C = 6 + 8q does not have any fixed cost component, AFC would be zero. Marginal Cost (MC): MC = Change in Total Cost (ΔTC) / Change in Quantity (Δq). The cost function C = 6 + 8q has a constant marginal cost of 8. Average Variable Cost (AVC): AVC = Total Variable Cost (TVC) / Quantity (q). Since the cost function C = 6 + 8q does not have any variable cost component, AVC would be the same as MC, which is 8.
Average Cost (AC): AC = Total Cost (TC) / Quantity (q); AC = (Total Fixed Cost + Total Variable Cost) / Quantity; AC = (6 + 8q) / q; AC = 6/q + 8. Now, for the graphical representation: Use the line drawing tool to draw the marginal cost curve, which is a straight line with a slope of 8. Label this line 'MC'. Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve. Label this curve 'AC'. Please note that the shape and position of the curves will depend on the specific quantities chosen, but the general trend will be a downward-sloping MC curve intersecting the U-shaped AC curve.
To learn more about curved line click here: brainly.com/question/33613920
#SPJ11
There are 250 cars in a car park.165 of them are Toyota. What is the probability that the first car to leave the car park is: a)a Toyota b)not a Toyota?
Answer:
Toyota
Step-by-step explanation:
im not sure im a 5th grder that just guessed
Answer:
a) 33/50 b) 17/50
Step-by-step explanation:
total cars = 250
toyotas = 165
The probablity of the first car to leave being a toyota is
165/250
Simplify it to 33/50
The probability of the first car to leave not being a toyota is
(250 - 165)/250
= 85/250
= 17/50
Select all that are correct. An activity relationship diagram reveals qualitative factors which may be crucial to the workstation placement decision Systemic layout planning is most appropriate when the numerical flow of items between workstations is not know. Assembly line layouts rarely facilitate progressive assembly through use of material handing systems or devices Assembly lines are best suited for products with multiple parts produced in small volumes. Most would consider it desirable for a department store to put the candy department next to the toy department. Interworkcenter flow charts involve a relationship chart showing the degree of importance of locating workstations near to each other.
The correct statements are:An activity relationship diagram reveals qualitative factors that may be crucial to the workstation placement decision.
Assembly line layouts rarely facilitate progressive assembly through the use of material handling systems or devices.
Most would consider it desirable for a department store to put the candy department next to the toy department.
The incorrect statements are:
Systemic layout planning is most appropriate when the numerical flow of items between workstations is not known. (Systematic layout planning is more appropriate in this case.)
Assembly lines are best suited for products with multiple parts produced in small volumes. (Assembly lines are typically suited for products with high volumes and repetitive processes.)
Interworkcenter flow charts involve a relationship chart showing the degree of importance of locating workstations near each other. (Interworkcenter flow charts typically show the physical flow of materials or information between workstations.)
Learn more about factors here:
https://brainly.com/question/14549998
#SPJ11
A scientist measured the amounts of fertilizer given to plants, the heights to which the plants grew, and the amount of fruit the plants produced. 2 2-column tables with 5 rows. For table 1, column 1 is labeled Fertilizer (ounces) with entries 175, 192, 130, 128, 184. Column 2 is labeled Height of tree (inches) with entries 50, 52, 36, 35, 50. For table 2, column 1 is labeled Fertilizer (ounces) with entries 175, 192, 130, 128, 184. Column 2 is labeled amount of fruit produced (pounds) with entries 112, 115, 87, 85, 112. The scientist graphed the two sets of data and found that a positive correlation exists in each set. Which statement explains whether there is a relationship between the height of the tree and the amount of fruit produced. Although fertilizer is in both data sets and is positively correlated, only a weak correlation can exist between tree height and fruit yield. Although fertilizer is in both data sets and is positively correlated, it is impossible for any correlation to exist between tree height and fruit yield. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is likely that tree height and fruit yield are negatively correlated. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.
Answer:
d. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.
Step-by-step explanation:
The correlation refers to the relationship between two or more variables i.e how they are interrelated to each other. It can be positive, negative, perfect, etc
As we can see in the figure that in both the data sets the fertilizer contains the same values which depict that they are positively correlated with respect to the height of tree and fruit yield that derives that the height of tree and fruit yield is also positively correleated
Here positive correlation means that the two variables moving in a similar direction i.e if one variable increased so the other is also increased
Therefore the option d is correct
Answer:
D
Step-by-step explanation:
I got it right on the test.
Trust me