Answer:
Explanation:
In a situation like this, the OS erases the files from its core, and saves the document in its files compartment
The hard drive on Frankie's computer is completely full. In this case, the OS deletes the files from its core and saves the document in its files' compartment because it has to produce and save a new document.
What is a document?Everybody has a distinctive signature, and signatures are crucial in proving that a person actually signed a document and accepted its terms.
An operating system (OS) is the program that controls all other application programs in a computer after being installed into the system first by a boot program.
Through a specified application program interface, the application programs seek services from the operating system (API)
Therefore, the OS will erase the file from the scratch and save it in a different folder.
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what is a computer memory
Answer:
it is your answer
Explanation:
it is the storage space where data is kept.
Calculate the total time required to transfer a 500KB file in the following cases. Assume an RTT of 50ms, a packet size of 2KB, and an initial 2xRTT of handshaking before data is sent. A. If the bandwidth is 2Mbps, what is the Bandwidth-Delay Product (BDP)
Answer:
i) Total time = 2457.73 secs
ii) BDP = 0.01 Mbyte
Explanation:
Packet size : 2 Kb = ( 2 * 8192 ) bits = 16384 bits
Bandwidth : 2Mbps = 2,000,000 bits/sec
RTT = 50 ms = 0.050 secs
i) Determine total time required to transfer 500 kB
= Initial handshake + Time for transmission of all files + propagation delay
= 2 x RTT + Time for transmission + RTT /2
Total time = ( 2 * 0.05 ) + (1500 * 1.6384 )+ ( 0.050 / 2 ) = 2457.73 secs
ii) Determine the Bandwidth-delay product
= data link capacity * RTT
= 2 Mbps * 50 ms = 100,000 = 0.01 MByte
I have a variable and set it equal to 5. 1 then send it as an argument to a function that adds 5 to the variable passed in. Outside the function print the variable (after the function executes).
What will it print?
A. 5+1
B. 4
C. 6
D. 5
Answer:
D. 5
Explanation:
If the variables original value was 5 then the value that will be printed is 5. This is because the variable is being passed as a parameter into the function and 5 is being added to the parameter value, not the actual global variable outside. Therefore, in order for the adjusted value to be printed then that new value that is returned by the function needs to be saved in a new variable. This can be seen in the example code below.
Write a recursive function called DrawTriangle() that outputs lines of '*' to form a right side up isosceles triangle. Function DrawTriangle() has one parameter, an integer representing the base length of the triangle. Assume the base length is always odd and less than 20. Output 9 spaces before the first '*' on the first line for correct formatting.
Answer:
Code:-
# function to print the pattern
def draw_triangle(n, num):
# base case
if (n == 0):
return;
print_space(n - 1);
print_asterisk(num - n + 1);
print("");
# recursively calling pattern()
pattern(n - 1, num);
# function to print spaces
def print_space(space):
# base case
if (space == 0):
return;
print(" ", end = "");
# recursively calling print_space()
print_space(space - 1);
# function to print asterisks
def print_asterisk(asterisk):
# base case
if(asterisk == 0):
return;
print("* ", end = "");
# recursively calling asterisk()
print_asterisk(asterisk - 1);
# Driver Code
n = 19;
draw_triangle(n, n);
Output:-
# Driver Code n = 19;| draw_triangle(n, n);
A life insurance salesperson who takes advantage of the foot-in-the-door phenomenon would be most likely to:________
a. emphasize that his company is one of the largest in the insurance industry.
b. promise a free gift to those who agree to purchase an insurance policy.
c. address customers by their first names.
d. ask customers to respond to a brief survey of their attitudes regarding life insurance.
Answer:
d. ask customers to respond to a brief survey of their attitudes regarding life insurance.
Explanation:
A life insurance policy can be defined as a contract between a policyholder and an insurer, in which the insurer agrees to pay an amount of money to a specific beneficiary either upon the death of the insured person (decedent) or after a set period of time.
A salesperson (sales representative) refers to an individual or employee who is saddled with the responsibility of taking orders from customers, as well as selling finished goods and services to consumers or end users.
A foot-in-the-door phenomenon can be defined as a compliance (persuasive) technique or tactics that assumes a person agreeing to perform a small request increases the likelihood of he or she agreeing to a subsequent larger request. Thus, it posits that when a person agrees to a small, it makes it difficult for him or her to decline a second, larger (bigger) request.
In this context, a life insurance salesperson who takes advantage of the foot-in-the-door phenomenon would most likely ask his or her customers to respond to a brief survey of their attitudes regarding life insurance.
Compute the acceleration of gravity for a given distance from the earth's center, distCenter, assigning the result to accelGravity. The expression for the acceleration of gravity is: (G * M) / (d2), where G is the gravitational constant 6.673 x 10-11, M is the mass of the earth 5.98 x 1024 (in kg) and d is the distance in meters from the earth's center (stored in variable distCenter).
#include
using namespace std;
int main() {
double G = 6.673e-11;
double M = 5.98e24;
double accelGravity;
double distCenter;
cin >> distCenter;
/* Your solution goes here */
cout << accelGravity << endl;
return 0;
}
Answer:
Replace /* Your solution goes here */ with the following expression
accelGravity = (G * M) / (distCenter *distCenter );
Explanation:
Required
Complete the code
The equivalent expression of (G * M) / (d^2) is:
(G * M) / (distCenter *distCenter );
The expression must be stored in accelGravity.
So, we have:
accelGravity = (G * M) / (distCenter *distCenter );
What hardware architectures are not supported by Red Hat?
What are computer programs that make it easy to use and benefit from techniques and to faithfully follow the guidelines of the overall development methodology
Answer:
A Tool
Explanation:
Tools are computer programs that make it simple to use and benefit from techniques while adhering to the overall development methodology's guidelines. The correct option is A).
What are computer programs?A computer-aided software development case tool is a piece of software that aids in the design and development of information systems. It can be used to document a database structure and provide invaluable assistance in maintaining design consistency.
A computer software application is one that is developed to assist a particular organizational function or process, such as payroll systems, market analysis, and inventory control.
The goal of introducing case tools is to reduce the time and cost of software development, while also improving the quality of the systems created.
Therefore, the correct option is A) Tools.
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The question is incomplete. Your most probably complete question is given below:
A) Tools
B) Techniques
C) Data flow
D) Methodologies
A new PKI is being built at a company, but the network administrator has concerns about spikes of traffic occurring twice a day due to clients checking the status of the certificates. Which of the following should be implemented to reduce the spikes in traffic?
A. CRL
B. OCSP
C. SAN
D. OID
Answer:
Option A (CRL) is the right answer.
Explanation:
Certificates with respective expiration date canceled mostly by CA generating or providing them, then it would no longer be tolerated, is considered as CRL.CRL verification could be more profitable for a platform that routinely manages several clients, all having pronouncements from a certain CA, because its CRL could be retrieved once per day.Other given choices are not connected to the given scenario. So Option A is the right one.
why do we need vector graphics for creating logo
Answer:
hope it will help uplease mark brillient
Answer:
So we can maintain high quality designs at any graphic scale.
Explanation:
Unlike other graphic formats which simply define colors for fixed pixels, vector graphics define points and shapes (vectors) which are then used to draw the graphic at the desired and appropriate resolution.
Our graphic can look good at any resolution, no matter how large it gets. If we take a png or jpg file and make it extremely large, you'll notice the image begins to get blurry, because the pixels are being stretched and colors are being predicted or matched for the larger scale.
a) Importance of Software Engineering I
Answer:
os, operating system is very important
Write a program to print all odd numbers between 20 and 50(Qbasic)
Does the estimate of a tolerance level of 68.26% of all patient waiting times provide evidence that at least two-thirds of all patients will have to wait less than 8 minutes?
Answer:
Yes, because the upper limit is less Than 8 minutes
Explanation:
According to the empirical formula :
68.26% of data lies within 1 standard deviation from the mean;
Hence,
Mean ± 1(standard deviation)
The sample mean and sample standard deviation of the given data is :
Sample mean, xbar = Σx / n = 546 / 100 = 5.46
Sample standard deviation, s = 2.475 (Calculator)
The interval which lies within 68.26% (1 standard deviation is) ;
Lower = (5.460 - 2.475) = 2.985
Upper = (5.460 + 2.475) = 7.935
(2.985 ; 7.935)
Since the interval falls within ; (2.985 ; 7.935) whose upper level is less than 8 means patients will have to wait less Than 8 minutes.
what are the functions of language in logic?
Answer:
Three basic functions of language: Informative, Expressive, and Directive Language
Informative language. Simply put, informative language can be looked at as though it is either right or wrong, or true or falseExpressive languageDirective languageYou are the network administrator for the ABC Company. Your network consists of two DNS servers named DNS1 and DNS2. The users who are configured to use DNS2 complain because they are unable to connect to internet websites. The following shows the configuration of both servers:
Server Configurations:
DNS1: _msdcs.abc.comabc.com
DNS2: .(root)_msdcs.abc.comabc.com
The users connected to DNS2 need to be able to access the internet. What should be done?
Answer:
ABC Company
The action to take is to:
Delete the .(root) zone from the DNS2. Then configure conditional forwarding on the DNS2 server. If this is not done, the users will be unable to access the internet.
Explanation:
DNS forwarding enables DNS queries to be forwarded to a designated server, say DNS2, for resolution according to the DNS domain name. This stops the initial server, DNS1, that was contacted by the client from handling the query, thereby improving the network's performance and resilience and enabling the users to be connected to the DNS2 in order to access the internet.
Skunkworks appeared to have ________ task interdependence, while the Levittown builder seemed to have ________ task interdependence. Multiple Choice comprehensive; sequential pooled; comprehensive reciprocal; pooled sequential; reciprocal pooled; reciprocal
The article upon which the question is based on:
The Skunk Works home page describes this team best: "What do the world’s first stealth aircraft, the world’s most advanced fighters, and the world’s fastest manned aircraft have in common? They were all imagined by ‘Skunks’—some of the most innovative, strategic, and visionary thinkers around." Kelly Johnson was permitted to build an experimental engineering department in 1943, and the rest is history. The small-staffed unit was organized by integrating designers with builders, working together so that ideas were buildable, with limited visitors allowed from the outside. The impressive results are many, including the U-2, the world’s first spy plane, and the SR-71 Blackbird, the world’s fastest, highest-flying aircraft.
Answer:
1. comprehensive
2. sequential
Explanation:
Skunkworks appeared to have COMPREHENSIVE task interdependence, while the Levittown builder seemed to have SEQUENTIAL task interdependence.
This is based on the idea that Skunkworks acknowledges the powers of interaction and coordination of team members and while Levittown builders work on gradual working arrangement as one input of part A becomes the input of part B, and it goes on.
Write a void function SelectionSortDescendTrace() that takes an integer array and sorts the array into descending order. The function should use nested loops and output the array after each iteration of the outer loop, thus outputting the array N-1 times (where N is the size). Complete main() to read in a list of up to 10 positive integers (ending in -1) and then call the SelectionSortDescendTrace() function. If the input is:
Answer:
Explanation:
The following program is written in Java. The main method asks the user to enter 10 different integer values. These values are saved to an integer array and passed to the SelectionSortDescendTrace() method. This method sorts the array in descending order while printing the entire array after every outer loop cycle. The program was tested and the output can be seen in the attached image below.
import java.util.*;
class Brainly {
// Main Method
public static void main(String[] args)
{
Scanner in = new Scanner(System.in);
int[] myArr = new int[10];
for (int i = 0; i < 10; i++) {
System.out.print("Enter an integer: ");
myArr[i] = in.nextInt();
System.out.print('\n');
}
SelectionSortDescendTrace(myArr);
}
public static void SelectionSortDescendTrace(int[] myArr) {
int temp;
for (int i = 0; i < myArr.length; i++)
{
for (int j = 0; j <myArr.length; j++)
{
if (j != myArr.length - 1)
{
if (myArr[j] < myArr[j + 1])
{
temp = myArr[j];
myArr[j] = myArr[j + 1];
myArr[j + 1] = temp;
}
}
}
System.out.println(Arrays.toString(myArr));
}
}
}
Cryptarithmetic algorithm
Answer:
CryptArithmetic or verbal arithmetic is a class of mathematical puzzles in which the digits are replaced by letters of the alphabet or other symbols. Usually it is required that each letter would be replaced by a unique digit. Each letter having different value from the other letters.
Explanation:
Cryptarithm now denotes mathematical problems usually calling for addition, subtraction, multiplication, or division and replacement of the digits by letters of the alphabet or some other symbols. ... Since D × B has only one digit, B must be 3 or less. The only two possibilities are 0 and 2.
Suppose we can buy a chocolate bar from the vending machine for $1 each. Inside every chocolate bar is a coupon. We can redeem six coupons for one chocolate bar from the machine. This means that once you have started buying chocolate bars from the machine, you always have some coupons. We would like to know how many chocolate bars can be eaten if we start with N dollars and always redeem coupons if we have enough for an additional chocolate bar.For example, with 6 dollars we could consume 7 chocolate bars after purchasing 6 bars giving us 6 coupons and then redeeming the 6 coupons for one bar. This would leave us with one extra coupon. For 11 dollars, we could consume 13 chocolate bars and still have one coupon left. For 2 dollars, we could have consumed 14 chocolate bars and have two coupons left.Write a program that inputs a value for N and outputs how many chocolate bars we can eat and how many coupons we would have left over. Use a loop that continues to redeem coupons as long as there are enough to get at least one chocolate bar.
Answer and Explanation:
Using JavaScript:
/* program should take N input which represents the dollar amount and output how many chocolate bars and how many coupons we have*/
function chocolatebar(dollars){
var dollaramt= dollars;
var i;
for(i=0; i <= dollaramt; i++){
i=i+6
?
Alert ("you have 1 extra chocolate bar");
:
Alert ("keep buying chocolate bars to get more coupons for a bonus chocolate bar")
}
}
*
1. For this assignment you will print the steps for 8-bit by 8-bit multiplication.
2. Your program should read in two unsigned numbers from stdin, the first being the multiplicand and the second being the multiplier. Your program should verify that both values are within the range 0 to 255. If not, the program should print an appropriate error message and exit.
3. Your program should then initialize the simulated registers and echo the input values in decimal and also in binary.
4. Then your program should illustrate the eight steps required for multiplication using the same type of step diagrams as given in the lecture notes.
5. Finally, your program should print a check section that shows a summary of the multiplication in binary as well as in decimal. See the example below.
6. You may write your program in C, C++, or Java. If you choose to work in C, here is an example function that will allow you to represent an n-bit value within an int data type and print out the binary value in "length" bits. It uses the shift right operator and the bitwise and. (You can also choose to use unsigned int as the data type; since you are using only the lower 8 of the 32 bits in an int, there will be no apparent difference between using int and using unsigned int. However, if you choose to use char as the data type, you should use unsigned char to ensure that the compiler generates logical rather than arithmetic shifts.)
void prt_bin( int value, int length ){
int i;
for( i=(length-1); i>=0; i--){
if((value>>i)&1)
putchar('1');
else
putchar('0');
}
}
For example, if you declare acc as an int, then you could call prt_bin(acc,8) to print the 8-bit value in the accumulator.
You should format your output to exactly match the output below. 10% of the grade will be awarded for following the same format.
Sample Run is given below:
multiplicand: 33
multiplier: 55
c and acc set to 0
mq set to multiplier = 55 decimal and 00110111 binary
mdr set to multiplicand = 33 decimal and 00100001 binary
---------------------------------------------------
step 1: 0 00000000 00110111
+ 00100001 ^ add based on lsb=1
----------
0 00100001 00110111
>> shift right
0 00010000 10011011
---------------------------------------------------
step 2: 0 00010000 10011011
+ 00100001 ^ add based on lsb=1
----------
0 00110001 10011011
>> shift right
0 00011000 11001101
---------------------------------------------------
step 3: 0 00011000 11001101
+ 00100001 ^ add based on lsb=1
----------
0 00111001 11001101
>> shift right
0 00011100 11100110
---------------------------------------------------
step 4: 0 00011100 11100110
+ 00000000 ^ no add based on lsb=0
----------
0 00011100 11100110
>> shift right
0 00001110 01110011
---------------------------------------------------
step 5: 0 00001110 01110011
+ 00100001 ^ add based on lsb=1
----------
0 00101111 01110011
>> shift right
0 00010111 10111001
---------------------------------------------------
step 6: 0 00010111 10111001
+ 00100001 ^ add based on lsb=1
----------
0 00111000 10111001
>> shift right
0 00011100 01011100
---------------------------------------------------
step 7: 0 00011100 01011100
+ 00000000 ^ no add based on lsb=0
----------
0 00011100 01011100
>> shift right
0 00001110 00101110
---------------------------------------------------
step 8: 0 00001110 00101110
+ 00000000 ^ no add based on lsb=0
----------
0 00001110 00101110
>> shift right
0 00000111 00010111
---------------------------------------------------
check: binary decimal
00100001 33
x 00110111 x 55
---------------- ------
0000011100010111 1815
Answer:
Code:
#include<bits/stdc++.h>
using namespace std;
char* prt_bin( int value, int length, char s[]){
for(int i=(length-1); i>=0; i--){
if((value>>i)&1) {
s[length-1-i] = '1';
// putchar('1');
}
else {
s[length-1-i] = '0';
// putchar('0');
}
}
s[length] = '\0';
return s;
}
int main(){
int nbits = 8, c, acc;
char s[nbits+1];
int multiplicand, multiplier, mq, mdr;
cout<<"Multiplicand: ";
cin>>multiplicand;
cout<<"Multiplier: ";
cin>>multiplier;
if(multiplier<0 || multiplier>255 ||multiplicand<0 || multiplicand>255){
cout<<"Given Multiplicand or multiplier is incorrect. Exiting the program.\n";
return 0;
}
c = 0; acc = 0;
cout<<"c and acc set to 0\n";
mq = multiplier;
mdr = multiplicand;
cout<<"mq set to multiplier = "<<multiplier<<" decimal and "<<prt_bin(multiplier, nbits, s)<<" binary\n";
cout<<"mdr set to multiplicand = "<<multiplicand<<" decimal and "<<prt_bin(multiplicand, nbits, s)<<" binary\n";
printf("---------------------------------------------------\n");
for(int i=1;i<=nbits;i++){
printf("step %d: %d %s ",i, c, prt_bin(acc, nbits, s));
printf("%s\n",prt_bin(mq, nbits, s));
char lsb = s[nbits-1];
if(lsb=='1'){
printf(" + %c %s ^add based on lsb=%c\n", c, prt_bin(mdr, nbits, s), lsb);
printf(" ----------\n");
acc = acc + multiplicand;
}
else{
printf(" + %c %s ^no add based on lsb=%c\n", c, prt_bin(0, nbits, s), lsb);
printf(" ----------\n");
}
printf(" %d %s ", c, prt_bin(acc, nbits, s));
printf("%s\n",prt_bin(mq, nbits, s));
printf(" >> shift right\n");
mq = mq>>1;
if(acc%2==1){
mq = mq+128;
}
acc = acc>>1;
printf(" %d %s ", c, prt_bin(acc, nbits, s));
printf("%s\n",prt_bin(mq, nbits, s));
printf("---------------------------------------------------\n");
}
char sr[nbits*2+1];
printf("check: binary decimal\n");
printf(" %s %d\n", prt_bin(multiplicand, nbits, s), multiplicand);
printf(" x %s x %d\n", prt_bin(multiplier, nbits, s), multiplier);
printf(" ---------------- ------\n");
printf(" %s %d\n", prt_bin(multiplier*multiplicand, nbits*2, sr), multiplier*multiplicand);
return 0;
}
You are working from home using a microcomputer, a DSL modem, and a telephone connection to the Internet. Your company is connected to the Internet and has both local area networks and a mainframe computer. List all the different network connections involved in this operation.
Solution :
It is given that I am using a microcomputer at home along with DSL modem as well as a telephone network for the internet. My company has internet and has local area network and also a mainframe network.
Therefore, the different network connections involved are :
local area network to the wide area networkmicrocomputer to the internet connectionUsing simplified language and numbers, using large font type with more spacing between questions, and having students record answers directly on their tests are all examples of _____. Group of answer choices universal design analytic scoring cheating deterrents guidelines to assemble tests
Answer:
universal design
Explanation:
Using simplified language and numbers, using large font type with more spacing between questions, and having students record answers directly on their tests are all examples of universal design.
Universal Design can be regarded as design that allows the a system, set up , program or lab and others to be
accessible by many users, this design allows broad range of abilities, reading levels as well as learning styles and ages and others to have access to particular set up or program.
it gives encouragment to the development of ICTS which can be
usable as well as accessible to the widest range of people.
Based on the naming recommendations in the book, which of the following is a good identifier for a variable that will be used to hold an employee’s phone number? a. EmployeePhoneNumber b. emphonumber c. employee_phone_number d. empPhoneNum
Answer:
A good identifier for a variable that will be used to hold an employee’s phone number is:
a. EmployeePhoneNumber
Explanation:
An identifier is a string that uniquely identifies or names the entity or an object. The object or entity may be a constant, variable, structure, function, etc. Identifiers can be formed from uppercase and lowercase letters, digits, and underscores. Meaningful identifiers mostly favor the use of long descriptive names like EmployeePhoneNumber. However, the other options can still be used.
Why use LinkedIn automation for LinkedIn?
Answer:
Using LinkedIn automation tools to run successful outreach campaigns has become popular. It’s because these tools automate tedious networking tasks such as visiting profiles, collecting data, sending out bulk connection requests, messages, and follow-ups, etc.
With the help of the latest LinkedIn automation tools, you can quickly perform all the repetitive tasks while saving yourself a lot of time that you can use on actual relationship building and lead nurturing tasks.
However, LinkedIn isn’t really amused when using any bots or automation tools for LinkedIn.
what is incremental development and its importance in a project
Answer:
Incremental development in software engineering is a process methodology that emphasizes the virtue of taking small steps toward the goal.
Explanation:
Rather than delaying feedback until final delivery when time and resources have already been spent, incremental development ensures that teams can use feedback to make changes early and often.
The main importance of the Incremental model is that it divides the software development into submodules and each submodule is developed by following the software development life cycle process SDLC like Analysis, Design, Code, and Test.
Answer:
incremental development is any combination of both iterative design or iterative method and incremental build model for development
Explanation:
importance
Incremental development ensures that developers can make changes early on in the process rather than waiting until the end when the allotted time has run out and the money has been spent.
An incremental approach breaks the software development process down into small, manageable portions known as increments. Each increment builds on the previous version so that improvements are made step by step
Which of the following acronyms refers to a network or host based monitoring system designed to automatically alert administrators of known or suspected unauthorized activity?
A. IDS
B. AES
C. TPM
D. EFS
Answer:
Option A (IDS) is the correct choice.
Explanation:
Whenever questionable or unusual behavior seems to be detected, another alarm is sent out by network security equipment, which would be considered as Intrusion Detection System.SOC analysts as well as occurrence responders can address the nature but instead, develop a plan or take steps that are necessary to resolve it predicated on such notifications.All other three alternatives are not related to the given query. So the above option is correct.
Analyzing the role of elements in audio editing and Video
+ analyzing the role of the visual element in Video + analyzing the role of text factor
+ analyzing the role of the audio factor
+ analyzing the role of the transfer scene
+ analysing the role of the audio visual effects
Answer:
Analyzing the role of elements in audio editing and Video
+ analyzing the role of the visual element in Video + analyzing the role of text factor
+ analyzing the role of the audio factor
+ analyzing the role of the transfer scene
+ analysing the role of the audio visual effect
Write a function named square_list that takes as a parameter a list of numbers and replaces each value with the square of that value. It should not return anything - it should mutate the original list.
Answer:
The function is as follows:
def square_list(myList):
for i in range(len(myList)):
myList[i] = myList[i]**2
print(myList)
Explanation:
This defines the function
def square_list(myList):
This iterates through the list elements
for i in range(len(myList)):
This squares each list element
myList[i] = myList[i]**2
This prints the mutated list
print(myList)
various gabs in the digital divide
Answer:
factors such as low literacy and income level Geographical restriction lack of motivation motivation of the technology lack of motivation to use technology and digital illiteracy and contribute to the digital device
, , and angle x and angle y are both in the first quadrant.
Answer:
[tex]\tan(x+y) = 3.73[/tex]
Explanation:
The missing part of the question are:
[tex]\sin(x) = \frac{1}{2}[/tex]
[tex]\cos(y) = \frac{\sqrt 2}{2}[/tex]
Required
[tex]\tan(x + y)[/tex]
First, we calculate [tex]\sin(y)[/tex] and [tex]\cos(x)[/tex]
We have:
[tex]\sin^2(x) + \cos^2(x) = 1[/tex]
So:
[tex](1/2)^2 + \cos^2(x) = 1[/tex]
Collect like terms
[tex]\cos^2(x) = 1 - (1/2)^2[/tex]
[tex]\cos^2(x) = 1 - \frac{1}{4}[/tex]
Take LCM
[tex]\cos^2(x) = \frac{4-1}{4}[/tex]
[tex]\cos^2(x) = \frac{3}{4}[/tex]
Square roots of both sides
[tex]\cos(x) = \frac{\sqrt 3}{2}[/tex]
Similarly,
[tex]\sin^2(y) + \cos^2(y) = 1[/tex]
So:
[tex]\sin^2(y)+(\sqrt 2/2)^2 = 1[/tex]
[tex]\sin^2(y)+ (2/4) = 1[/tex]
[tex]\sin^2(y)+1/2 = 1[/tex]
Collect like terms
[tex]\sin^2(y) = 1 - 1/2[/tex]
Take LCM
[tex]\sin^2(y) = \frac{2 -1}{2}[/tex]
[tex]\sin^2(y) = \frac{1}{2}[/tex]
Square roots of both sides
[tex]\sin(y) = \frac{1}{\sqrt2}[/tex]
Rationalize
[tex]\sin(y) = \frac{\sqrt2}{2}[/tex]
So, we have:
[tex]\sin(x) = \frac{1}{2}[/tex] [tex]\cos(x) = \frac{\sqrt 3}{2}[/tex]
[tex]\cos(y) = \frac{\sqrt 2}{2}[/tex] [tex]\sin(y) = \frac{\sqrt2}{2}[/tex]
[tex]\tan(x) = \sin(x) \div \cos(x)[/tex]
[tex]\tan(x) = \frac{1}{2} \div \frac{\sqrt 3}{2}[/tex]
Rewrite as:
[tex]\tan(x) = \frac{1}{2} * \frac{2}{\sqrt 3}[/tex]
[tex]\tan(x) = \frac{1}{\sqrt 3}[/tex]
Rationalize
[tex]\tan(x) = \frac{\sqrt 3}{3}[/tex]
Similarly
[tex]\tan(y) = \sin(y) \div \cos(y)[/tex]
[tex]\tan(y) = \frac{\sqrt 2}{2} \div \frac{\sqrt 2}{2}[/tex]
[tex]\tan(y) = 1[/tex]
Lastly,
[tex]\tan(x + y)= \frac{\tan(x) + \tan(y)}{1 - \tan(x) \cdot \tan(y)}[/tex]
[tex]\tan(x + y)= \frac{\frac{\sqrt3}{3} + 1}{1 - \frac{\sqrt3}{3} \cdot 1}[/tex]
[tex]\tan(x + y)= \frac{\frac{\sqrt3}{3} + 1}{1 - \frac{\sqrt3}{3}}[/tex]
Combine fractions
[tex]\tan(x + y)= \frac{\frac{\sqrt3+3}{3}}{\frac{3 - \sqrt3}{3}}[/tex]
Cancel out 3
[tex]\tan(x + y)= \frac{\sqrt3+3}{3 - \sqrt3}[/tex]
Using a calculator
[tex]\tan(x+y) = 3.73[/tex]
