Answer:
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, , 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]
Let a be an int array and let i and j be two valid indices of a, a pair (i,j) with i a[j]. Design a method that counts the different pairs of indices of a in disarray. For example, the array <1,0,3,2> has two pairs in disarray.
Answer:
Code:-
#include <iostream>
using namespace std;
int main()
{
// take array size from user
int n;
cout << "Enter array size:";
cin >> n;
// Declare array size with user given input
int a[n];
// take array elements from user & store it in array
cout << "Enter array elements:";
for(int i=0 ; i < n ; i++){
cin >> a[i];
}
/* ----- Solution Starts ----- */
// i & j for checking disarray & count is for counting no. of disarray's
int i=1, j=0, count=0;
for(int k=0; k < n ; k++){
if(a[i] > a[j]){
// if disarray found then increament count by 1
count++;
}
// increament i & j also to check for further disarray's
i++;
j++;
}
// Print the disarray count
cout << "Pairs of disarray in given array:" << count;
/* ----- Solution Ends ----- */
return 0;
}
Output:-
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));
}
}
}
This method adds newValue to the list at the specified index. If the index is invalid for the list, throw an IndexOutOfBoundsException. Note that the last valid index is the size of the list; this would mean adding to the back of the list. Call any existing methods of LinkedList and LLNode as needed.
Answer:
i dont know
Explanation:
In order to print multiple worksheets, what needs to happen before printing?
Answer:
Explanation:
Click the File tab.
Click Print, or press the control p keyboard command.
On the Print screen, select the printer and other settings.
Click Print.
WHICH PROGRAMMING LANGUAGES ARE THE BEST AND COMPATIBLE FOR 3D PRINTERS?
Answer:
G-code and C++ can be used
How do l write a program which countdown from 10 to 3
Answer:
use loop
for(int i =10;i>2; i--)
{
System.out.println(i+"\n")
}
25. Các phát biểu nào sau, phát biểu nào là đúng:
- tên file không được chứa khoảng trắng
- tên file không nên có dấu tiếng viết
- tên file được dài trên 255 ký tự
- tên file được chấp nhận ký tự khác
In database a record is also called a
Explanation:
hope it helps you
pls mark this ans brainlist ans
Arrays are commonly used to store data items. Arrays can be managed in ways that fill, iterate over, add to, and delete items from the array. Why is it useful to store multiple pieces of information?
Answer:
mark me brainlist
Explanation:
What is the importance of planning a web page before starting to create it?
The importance of planning a web page according to the question is provided below.
A well-designed company's website may contribute to making even your potential consumers a favorable immediate impression.
This might also assist people to cultivate guidelines and make additional transformations. Further significantly, it brings pleasant client interaction as well as allows customers to your website unrestricted access as well as browse easily.
Learn more about the web page here:
https://brainly.com/question/9060926
How to overcome software quality dilemma
Explanation:
anytime software and business come together there is an inherent conflict between get it done fast and do a good job
6. Where all controls are lie
a) Properties b) Toolbox c) Solution Explorer d) Files
Answer:
I think b is correct answer.
How can an IS managers keep up with the endless demand for more software to support new information systems
An IS manager can keep up with the endless demand for more software to support new information systems by thinking outside the box.
To think outside the box, the IS manager should try the following strategies:
Use predetermined application components that are operating on low-code or no-code platforms.Use better software-testing practices and tools that spread programming into small sprints.Engage in shift-left testing, which enables software-testing to be done at every phase of the development process.Involve product managers and business users at the beginning of software development, making them to drive innovation that satisfies their requirements.Finally, the IS manager can utilize AI and Machine Learning to speed up the development of required software, thereby enhancing its qualities and capabilities with reduced time and costs.Thus, the IS manager must realize that there are always solutions to every software problem outside the mainstream box.
Learn more about information systems here: https://brainly.com/question/1521627
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 language26. The
operator will cause a record to
be selected only if two or more
conditions are satisfied
In MS access
Answer:
AND
The AND operator will cause a record to be selected only if two or more
conditions are satisfied.
What is one advantage and disadvantage of designing a support security that might be based on a centralized model, where all sensitive information is stored in one secure place, or a distributed model, where information is spread around in many different places?
A processor’s speed is measured in (a) or gigahertz. The (b) (higher/lower) the hertz, the faster the processing of instructions.
(a)
(b)
Answer:
(a) gigahertz(b) higherExplanation:
As,
The processor's speed measures the number of cycles your CPU executes per second, measured in GHz (gigahertz).The higher the processor's hertz a CPU has, the faster it can process instructions.Answer:
A) Gigahertz.
B) Higher.
Explanation:
i took the test
Mobile computing is growing in importance each and every day, and the IT manager must take that into account. Do some web research and develop a one-page description of the five most important things about HCI of mobile computing that the IT manager should know.
Answer:
phone grows everyday 82 percent
Explanation:
Where does change management play a major role in transforming a client
business into a data-driven, intelligent enterprise?
To manage a modern IT environment characterized by hybrid complexity and exponential data growth — and to make that same IT a driver of growth and innovation for the business — you need to build intelligence into every layer of your infrastructure.
Change management plays a major role in transforming a client business into a data-driven, intelligent enterprise in: data culture and literacy.
Data culture and literacy refer to all the processes involved in analyzing and understanding data within the framework of an organization.
The employees within such organizations are trained to read and understand data. It becomes a part of the organization's culture.
So data culture and literacy should be used when trying to transform a client business into a data-driven, intelligent enterprise.
Learn more about data culture here:
https://brainly.com/question/21810261
Which are the best networking projects for a final year student in college
Answer:
The best networking project for a final year are Security issues with mobile IP.IP based patients monitoring systems.What is the output of this Python program, if the user types 3 as input?
0 1 2 will be the output of the function
What is the importance of using Onedrive in Windows 10 and how knowledge of it will have an impact in today's workplace?
The importance of one drive in windows 10 is that it helps the user to synchronize files in their computer.
Onedrive is a cloud storage system that is useful for the storage of files in a secured manner. A person can easily access their files whenever they want to.
In todays workplace a knowledge of onedrive has a great impact because
Onedrive offers an unlimited access to files whenever they are neededThe files can be available and accessed from anywhereIt helps with the organization of files in the work place.One drive allows for this to be done even when offline. When online, there is an automatic synchronization of the made changes.
Read more at https://brainly.com/question/17163678?referrer=searchResults
Learn more:
brainly.com/question/24369537
will social media lose its relevance?
Judging from it's prevalence and popularity, there will be a long way to go until people start to lose interest with expressing themselves online. So no, social media will not lose its relevance, but maybe when technology is dead, then it will.
explain computer coding in an understandable manner
Answer:
Coding is simply how we communicate with computers. Code tells a computer what actions to take, and writing code is like creating a set of instructions
Explanation:
Computer coding empowers kids to not only consume digital media and technology, but to create it. Instead of simply playing videogame or envision what their own website, or app might look like and they'll have the outlet for the expression
what is the difference between system software and application software
Explanation:
System software is meant to manage the system resources. It serves as the platform to run application software. Application software helps perform a specific set of functions for which they have been designed. Application software is developed in a high-level language such as Java, C++, .
Explanation:
Hope it's the write answer
Give examples of applications that access files by each of the following methods:
+ Sequentially.
+ Random.
Answer:
Explanation:
Usually, applications would have the capability of using either one of these options. But for the sake of the question here are some that usually prefer one method over the other.
Any program that targets an API usually uses Sequential access. This is because API's contain all of the data as objects. Therefore, you need to access that object and sequentially navigate that object to the desired information in order to access the data required.
A music application would have access to an entire folder of music. If the user chooses to set the application to randomly play music from that folder, then the application will use a Random Access method to randomly choose the music file to load every time that a song finishes.
Is IBM 1041, Minicomputer? Yes or no
Answer:
No
Explanation:
A sinewave has a period (duration of one cycle) of 645 μs. What is the corresponding frequency of this sinewave, in kHz, expressed to 3 significant figures?
please help me figure this out I am so confused
The corresponding frequency of this sinewave, in kHz, expressed to 3 significant figures is: 155 kHz.
Given the following data:
Period = 645 μsNote: μs represents microseconds.
Conversion:
1 μs = [tex]1[/tex] × [tex]10^{-6}[/tex] seconds
645 μs = [tex]645[/tex] × [tex]10^{-6}[/tex] seconds
To find corresponding frequency of this sinewave, in kHz;
Mathematically, the frequency of a waveform is calculated by using the formula;
[tex]Frequency = \frac{1}{Period}[/tex]
Substituting the value into the formula, we have;
[tex]Frequency = \frac{1}{645\; * \;10^{-6}}[/tex]
Frequency = 1550.39 Hz
Next, we would convert the value of frequency in hertz (Hz) to Kilohertz (kHz);
Conversion:
1 hertz = 0.001 kilohertz
1550.3876 hertz = X kilohertz
Cross-multiplying, we have;
X = [tex]0.001[/tex] × [tex]1550.39[/tex]
X = 155039 kHz
To 3 significant figures;
Frequency = 155 kHz
Find more information: https://brainly.com/question/23460034
A _______ read inputs the first data item from a file. It typically appears immediately before the loop that processes the data from the file and inputs the remaining data from the file.
Answer:
the answer is priming read
Explanation:
hope it helps u
