Construct a triangle , having its perimeter = 55 mm and the ratio of its angles 2:1:3 . I want the steps along with the drawing . this is ENGINEERING GRAPHICS grade 11 question .
Answers
Answer:
see attached
Explanation:
You want to construct a triangle with a perimeter of 55 mm and angles in the ratio 2:1:3.
AnglesThe 2+1+3 = 6 ratio units represent 180°, the sum of angles in a triangle. Hence each unit in the ratio is 180°/6 = 30°.
The angles are 60° : 30° : 90°.
PerimeterFrom your knowledge of "special triangles," you know the side lengths in a 30°-60°-90° triangle have the ratios 1 : √3 : 2.
That is, the perimeter of the triangle is (1+√3 +2) = 3+√3 times the length of the shortest side.
Side lengthsThe shortest side of the triangle will have the length ...
[tex]\dfrac{55\text{ mm}}{3+\sqrt{3}}=\dfrac{(3-\sqrt{3})(55\text{ mm})}{(3-\sqrt{3})(3+\sqrt{3})}= \dfrac{(165-55\sqrt{3})\text{ mm}}{3^2-(\sqrt{3})^2}\\\\\\=(27.5-\dfrac{55}{6}\sqrt{3})\text{ mm}\approx 11.6229\text{ mm}[/tex]
The longest side will be double this length, about 23.2457 mm. The side of intermediate length will be (55√3 -55)/2 ≈ 20.1314 mm.
ConstructionIf you're doing the drawing using only a compass and straightedge, you will start by constructing perpendicular lines (the right angle). Mark off 1 and two lengths of the shortest side on one of these perpendicular segments. Then draw the hypotenuse as 2 times the short length from the end of the short length. It will intersect the perpendicular segment at √3 times the short length.
The tricky part here is constructing a line segment of the desired irrational length. One way to do this is to construct a 30-60-90 triangle with a unit-length short side, then "unfold" it to a line segment with parts that are 1, √3, and 2 units long. A "proportioning" construction can divide the 55 mm length of the perimeter into these proportions, (10 mm might be a good "unit length" for this.)
__
Additional comment
The desired dimensions are sufficiently small that an accurate compass/straightedge construction will be difficult. It is unlikely your pencil line width is much less than about 0.2 mm, so already the error is about 2% in any length.
The attached drawing was made by telling the software what lengths we wanted in "exact" terms. Its calculation is generally good to 10 sf or better. To scale the drawing properly, you'd have to make the longest side about 23.25 mm, or 0.9152 inches.
Related Questions
In the year 2009 what was the cost of motor vehicle crashes in 99 urban cities
Answers
Answer: Multiplying the total numbers of reported fatalities and injuries by the estimated costs of a fatality and an injury, the total crash costs in the urbanized areas included in this study in 2009 is $299.5 billion.
Explanation: I hope this helps
All of the following are common manual transmission problems EXCEPT: (A) bent shift mechanism. B) worn thrust washers. (C) clogged modulator valve. (D) damaged extension housing.
Answers
Option (C) clogged modulator valve is not a common manual transmission problem. This component is typically associated with automatic transmissions, not manual transmissions.
ExplanationManual transmission problems can include a range of issues that can affect the performance of the transmission. Here short explanation about other option except C as common manual transmission problems:
Bent shift mechanism.The shift mechanism in a manual transmission is responsible for moving the gears into the correct position for each gear change. If the shift mechanism is bent or damaged, it can cause difficulty in shifting gears or even prevent the transmission from shifting at all. This can happen due to wear and tear, damage from impact or other causes.Worn thrust washers.
Thrust washers are small components in the transmission that help to control the movement of the gears. If the thrust washers become worn, they can cause excessive play in the gears, leading to difficulty in shifting and even gear slippage. This can happen due to normal wear and tear or improper lubrication.Damaged extension housing.
The extension housing is the outermost component of the transmission on the backside that houses the output shaft. If it becomes damaged due to wear and tear, impact or other causes, it can cause leaks in the transmission or even prevent it from operating altogether. A damaged extension housing can cause the transmission to fail or operate poorly.
Learn more about other manual transmission problems on:
https://brainly.com/question/20216172https://brainly.com/question/13142496https://brainly.com/question/28525751formal letter to step down in position
Answers
[Your Name]
[Your Address]
[City, State ZIP Code]
[Your Email]
[Date]
[Recipient Name]
[Recipient Position]
[Company Name]
[Address]
[City, State ZIP Code]
Dear [Recipient Name],
I am writing this letter to inform you that I have decided to step down from my position as [Your Position] at [Company Name]. My resignation is effective from [Date].
I have made this decision after much consideration and reflection on my personal and professional goals. While I have greatly enjoyed working at [Company Name] and appreciate the opportunities and support provided by the organization, I have decided that it is time for me to pursue other career opportunities.
I will ensure a smooth transition by completing my pending work and helping my replacement to settle into the role. I am willing to assist in any way possible to ensure that my duties and responsibilities are transferred smoothly to my successor.
I would like to take this opportunity to express my gratitude to [Recipient Name] and the entire management team for their support, guidance, and mentorship during my time at [Company Name]. I have learned a lot from my colleagues, and I am grateful for the professional growth opportunities provided to me.
Please let me know if there is any additional information you need from me or if I can assist in any way during this transition period.
Thank you for understanding my decision.
Sincerely,
[Your Name]
what is the ampere unit of force and how is that unit derived?
Answers
The ampere (/aempr/, US: /mpr/; symbol: A), also known as the amp, is the unit of electric current in the International System of Units (SI). One ampere is equal to one coulomb, or 6.2415090741018 electrons passing through a point in one second.
What is ampere?The ampere, commonly abbreviated as "amp," is the base unit of electric flow in the International System of Units (SI). It was named after French mathematician and physicist André-Marie Ampère (1775-1836), widely regarded as the father of electrodynamics. The ampere is defined by the International System of Units in terms of other base units by estimating the electromagnetic power between electrical conductors that carry the electric flow. The previous CGS estimation framework employed two distinct definitions of current, one based on SI units and the other on electric charge as the base unit. The charge unit is calculated by measuring the power between two charged metal plates. The ampere was then defined as one coulomb of charge per second. SI defines the coulomb as the unit of charge.
To know more about Ampere, click on the link :
https://brainly.com/question/1476646
#SPJ1
Fill in the Blank
Complete the sentence.
modeling is
a design for the underlying shape to represent exterior surfaces that includes shapes and curvatures.
Answers
The completed sentence is: Modeling in computer-aided design (CAD) is a design for the underlying shape to represent exterior surfaces that includes shapes and curvatures.
What is computer aided design and how is it important to modelling?Computer-aided design (CAD) is the use of computer software to create, modify, analyze, and optimize designs for a wide range of industries and applications. CAD software is used by engineers, architects, designers, and manufacturers to create 2D and 3D models, drawings, and simulations of products, buildings, and structures.
CAD is important to modelling because it allows designers to create highly accurate and detailed representations of their designs, which can be easily modified, tested, and optimized before production.
This can save time and money by reducing errors and minimizing the need for physical prototypes. CAD also enables collaboration among team members and stakeholders, and facilitates the integration of design data into other stages of the product development process.
Learn more about Modeling on:
https://brainly.com/question/29535773
#SPJ1
Can somebody help me with these. with solution
1 Two balls are drawn in succession without replacement from a box containing 4 red balls and 3 black balls. Let Y be the random variable, where Y is the number of the red balls. What is the expected value of this random event?
2. Two balls are drawn in succession from a box without repetition containing 3 red 3 blue and four yellow marbles. What is the probability that they are of the same color?
Answers
Answer:
See below, please.
Explanation:
Part 1.
Let Y be the random variable representing the number of red balls drawn in succession. The possible outcomes are (R, R), (R, B), (B, R), and (B, B). We can calculate the probability of each outcome as follows
P(Y=0) = P(B, B) = (3/7) * (2/6) = 1/7
P(Y=1) = P(R, B) + P(B, R) = (4/7) * (3/6) + (3/7) * (4/6) = 12/42 + 12/42 = 24/42
P(Y=2) = P(R, R) = (4/7) * (3/6) = 2/7
The expected value of Y is given by:
E(Y) = Σ yi * P(Y=y)
= 0 * (1/7) + 1 * (24/42) + 2 * (2/7)
= 0 + 8/14 + 4/7
= 16/14
= 1.14
Therefore, the expected value of Y is 1.14.
Part 2.
The total number of ways to draw two marbles from the box is 10C2 = 45. The number of ways to draw two marbles of the same color is 3C2 + 4C2 = 3 + 6 = 9. Therefore, the probability of drawing two marbles of the same color is
P(same color) = 9/45 = 1/5
Therefore, the probability that the two balls are of the same color is 1/5.
2. The __________ is a list of tints used to make a color.
Answers
Explanation: The recipe for a color. This contains a list of tints and the weight of each that should be added when mixing a specific paint color. A paint formulation that lists the weight of each tint required.
HELP ME 100 POINTS AND BRANYLEST
Networks
Use a pencil and paper or a computer-based drawing program, and diagram the LAN (local area network) described below. You will read and analyze the description below and then draw your LAN based on the description. Upon completion of your drawing, you will discuss how to change the LAN into a WAN.
Scenario: A small photocopying business
Elements your LAN must include:
Four computers: These computers connect to a network server and are for the public to use to upload their files.
Photocopy machine: This server is connected to the business's high-capacity networked photocopy machine, which works like a regular industrial/business copy machine, but also takes "orders" from the network server.
One employee business computer: This computer is connected to the network server for files that need to be sent digitally to the high-capacity photocopy machine.
One employee internal computer: This computer is for interoffice communication and business functions such as accounting. This computer is connected to an applications server that houses the business's application software, including its word processor, accounting software, and so on.
One server for Internet orders: This server copies orders that come in from other businesses via the Internet. Customers submit their orders via an Internet application that submits the file and sends the requests directly to the business to be retrieved by the copy machine operator (orders go directly from that server to the copy machine, which has its own monitor and displays jobs from customers in the shop and jobs from the Internet that are waiting to be processed).
Your diagram must show the computers, the connection from the computers to the network, and the network servers. You may use a simple rectangle shape to represent each computer and the other components, but please label the shapes. Use straight lines to represent the wires (connections) and network servers.
At the bottom of the drawing, include a two- to four-sentence description of what could be changed to make this LAN a WAN.
Answers
Answer:
To convert the LAN into a WAN, the following changes could be made:
A WAN connection would need to be established between the LAN and other remote locations using technologies such as leased lines, satellite links, or the internet.
The LAN's central server would become the WAN's central hub, allowing communication and data sharing between different locations of the business.
Additional networking devices such as routers, switches, and hubs may be required to connect the LAN to the WAN and provide connectivity between different locations.
The WAN may require additional security measures, such as firewalls and virtual private networks (VPNs), to ensure that data remains secure during transmission over the wide area network.
The WAN may also require additional bandwidth and higher-capacity network components to support the increased data traffic and larger number of users across multiple locations.
electronic resources are library materials that have been?
Answers
Library materials that have been digitally preserved and made available online, through databases, e-books, e-journals, and other electronic media, are known as electronic resources.
How do we use the electronic library's resources?Electronic resources reduce information overload and address storage issues. Sources from print are being digitalized. For the academic community, electronic information sources are becoming more and more crucial. The development of technology has prompted libraries to expand their holdings.
What are some instructional resources available online?E-resources for teacher education are typically divided into two categories: (1) online resources, and (2) offline materials. The following are examples of online e-resources: e-books, e-journals, e-mail, e-library, e-forum, e-learning (lessons/courses), e-shops, e-dictionaries.
To know more about databasess visit:-
https://brainly.com/question/13499332
#SPJ1
two forces applied to a pulley ?
Answers
[tex]\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}[/tex]
Two forces applied to a pulley are :-
the downward pull of gravitythe upward tension forceExplanation:
Hope it helps you~When editing macro statements, you can ________ any edits or deletion
Answers
When editing macro statements, you can undo any edits or deletions. SAS offers a potent programming tool called a macro that lets us avoid writing repetitive code and reuse it repeatedly when necessary.
Additionally, it aids in the creation of dynamic variables inside the code that may accept various values depending on the run instances of the same code. Similar to macro variables, macros may also be created for blocks of code that will be used repeatedly.
These are the variables that a SAS program can utilize repeatedly because they're used to store a value. In a SAS program, they are introduced at the beginning and referred to again later on. They may have a global or local focus.
Therefore, you can undo any edits or deletions.
Learn more about Macro Variables here:
https://brainly.com/question/30664484
#SPJ5
Can someone convert this code into python? Please I need this code immediately.
int main(void)
{
double a[5],b[5],c=0;
int i;
for(i=0;i<5;i++)//입력
{
scanf("%lf %lf",&a[i],&b[i]);
}
for(i=0;i<5;i++)
{
c+=(b[i]-a[i]-1.0>0) ? ((b[i]-a[i]-1.0>4) ? 4.0 : b[i]-a[i]-1.0): 0;
}
c/=0.5;
c*=5000;
if(c>=150000)
c*=0.95;
else if(c<=50000)
c*=1.05;
printf("%.0f",c);
}
Answers
```
def main():
a = [0] * 5
b = [0] * 5
c = 0
for i in range(5): # Input
a[i], b[i] = map(float, input().split())
for i in range(5):
c += ((b[i] - a[i] - 1.0) > 0) * (4.0 if (b[i] - a[i] - 1.0) > 4 else (b[i] - a[i] - 1.0))
c /= 0.5
c *= 5000
if c >= 150000:
c *= 0.95
elif c <= 50000:
c *= 1.05
print("{:.0f}".format(c))
main()
```
Note that the `scanf` function has been replaced with Python's `input` function, and the `printf` function has been replaced with Python's `print` function with formatted output.
What is the guidance system of a car?
Answers
Answer:
Parking Guidance Systems (PGS) are a form of technology that is designed for drivers providing them with real time parking information. A PGS is an advanced form of Car Counting or vehicle detection technology that provides dynamic data to facilitate vehicle circulation within a car park.