AD and BC are equal perpendiculars to a line segment AB (see figure). Show that CD
1 answer:
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Answer:
Program to this question as follows:
program:
import java.util.*; //import package for user input
public class Main //defining class
{
public static void main(String[] as)//defining main function
{//defining integer array
int [] num = new int[113];
boolean find_in = false; //defining boolean variable
int [] counts = new int[101];//defining integer array
int y, tem = 0, counter = 0,in=0,x,find; //defining integer variable
Scanner ox= new Scanner(System.in); //creating Scanner class Object
while(counter <= 112) //loop to check condition
{
num[counter++] = generateRandomNumber(); //using array to hold random function value.
}
System.out.println("The array:"); //message
for(x = 0; x < 112; x++) // loop to count the value
{
if(x != 0 && x % 9 == 0) // if block to chek value
System.out.println(); // print
else
System.out.print(num[x] + " "); // print array
}
// sort in ascending order
Arrays.sort(num); //using sort method
System.out.print("\n\nThe array in sorted order:"); // print value
for( x = 0; x < num.length; x++) // loop uses if block to check value is divisiable by 9
{
if(x % 9 == 0) //check condition
System.out.println(); // print
else
System.out.print(num[x] + " "); // print array
}
// search for a number
System.out.print("\n\nEnter a number to search: "); // print message
find= ox.nextInt(); // input number by user
for(x= 0;x< num.length;x++) //loop to count values
{
if(num[x] == find) //check value
{
find_in = true; //change value
in= x;
break; //using break keyword
}
}
if(find_in) //find value
System.out.println(find + " is found at index " + in); // print location
else
System.out.println("Not found"); //message
// display count of each numbers
System.out.println("Count of each numbers:"); //message
for(y = 1; y< num.length; y++) // loop to store element in counts array
{
tem = num[y]; //hold value
counts[tem]++; //increment value
}
for(x = 1; x< counts.length; x++) //loop to print value
{
System.out.println(x + ": " + counts[x]); // print value
}
// average of the numbers in the array
for(x = 0; x < num.length; x++) // loop to calculate sum and average
{
sum += num[x]; //calculate sum
}
avg = (sum / 100); // calculate avg
System.out.println("\nThe average of the numbers in the array: " + avg);
// highest number in the array
int high= num[0]; //find number
for(x= 0;x < num.length;x++)
{
if(num[x] > high)
high = num[x]; //hold value of highest Number
}
System.out.println("\nThe highest number is: " + high); //print value
int low = num[0]; // defining variable for lowest number
for(x= 0; x < num.length - 1; x++) // loop to calculate lowest number
{
if(num[x] < low) //condition for lowest number
low = num[x]; //hold lowest number
}
System.out.println("\nThe lowest number is: " + low); //print value
}
public static int generateRandomNumber() //defining function
{
Random ra = new Random(); //creating Random function Object
return (ra.nextInt(100)+ 1); //input and return value
}
}
Output:
the output of the given code is display in image
Explanation:
In the above program, an array is declared that uses a random function to input the number, in the next step the sort function is used, that sorted all array elements, in the next step the scanner class is used, that input the number form the user ends and pass search in the sorted array.
- After searching the average of array elements is calculated. In this array we calculate the highest and lowest number of the array to print all the values the print method is used.
- At the last, the rand method is used that generates the random number for the array and passes into a num array that prints the values.
