Answer: Exactly square root 58 inches
Step-by-step explanation: The dimensions given for the right angled triangle are 7 inches and 3 inches respectively. The third side is yet unknown. However what we know is that a right angled triangle can be solved by using the Pythagoras theorem which states that,
AC^2 = AB^2 + BC^2
Where AC is the longest side. The question requires us to calculate the longest side and with the other two sides already known, the Pythagoras theorem now becomes,
AC^2 = 7^2 + 3^2
AC^2 = 49 + 9
AC^2 = 58
Add the square root sign to both sides of the equation
AC = square root 58 inches
Prime factorization involves rewriting numbers as products
The HCF and the LCM of 1848, 132 and 462 are 66 and 1848 respectively
<h3>How to determine the HCF</h3>
The numbers are given as: 1848, 132 and 462
Using prime factorization, the numbers can be rewritten as:



The HCF is the product of the highest factors
So, the HCF is:


<h3>How to determine the LCM</h3>
In (a), we have:



So, the LCM is:


Hence, the HCF and the LCM of 1848, 132 and 462 are 66 and 1848 respectively
Read more about prime factorization at:
brainly.com/question/9523814
Product of two consecutive integer so this mean that x and y but y = x+1 than
x(x+1)=1332
x^2 +x -1332 =0 so bc. you get 36*37=1332 and 37x-36x=x so you can rewriting this quadratic factorized completlie
x^2 +x -1332 = 0
(x+37)(x-36)=0
x+37=0
x=-37 so the larger integer result that will be 37
23 can go 7 times into 162! Hope this helps ;(
Answer:
x = 4
Step-by-step explanation: