Express 3825 as a product of its prime factors.
Factorize 3825 as follows: 3825 = 3 × 3 × 5 × 5 × 17 = 32 × 52× 17... View Article
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Find two consecutive natural numbers whose sum is 63
Let the number be x and x + 1 According to the question x + x + 1 = 6... View Article
Write the general from of the linear polynomial and cubic polynomial
Polynomial is a mathematical expression consisting of variables and coefficient which are operated by four fundamental signs i.e., (+) (-)... View Article
Find the lcm of 40, 42, 45
Given numbers are 40, 42 and 45 We have to determine the numbers of 40,42 and 45 Solution Prime factorization... View Article
A river 2m deep and 45m wide is flowing at the rate of 3km per hour. Find the volume of water that run into the sea per minute.
Given that rate of flow 3 km/h Depth (h) of river = 2 m Width (b) of river = 45... View Article
Solve and check 3x + 2 (x + 2) = 20 – (2x – 5)
Given that 3x+2(x+2)=20-(2x-5) 3x + 2(x) + 2(2) = 20 – 2x -(-5) 3x + 2x + 4 = 20... View Article
Write 5 application of pythagoras theorem in real life
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of... View Article
What is the square root of 3025 by prime factorization?
The prime factors of a positive integer are the prime numbers that divide that integer exactly. To find the prime... View Article
Find a pair of integers whose difference is 2.
Let x – y = 2 where x and y are two integers… Let us consider x = 9, and... View Article
Find the square root of 2116 by prine factorisation method
The prime factorization of 2116 are 2 x 2 x 23 x 23. 2116 = 22 x 232 Hence 46... View Article
State true or false. The sum of three odd numbers is even.
The statement is false. Because the sum of two odd number is even and the sum of even number and... View Article
How to do the LCM of 529?
Given the number is 529. We have to find the LCM of the given number. Prime factorization can be done... View Article
Manu has invested 30% 0f his capital in petro bonds and rest in a life insurance plan. He has invested rs. 34, 000 more in life insurance plan than in petro bonds. How much is the total investment made by manu?
Manu had invested 30% of his capital in petro bonds. He had also invested 34000/- in LIC. Therefore, if his... View Article
Every real number is an irrational number. Is this stratement true or false? Why?
The given statement is False Every real number is not an irrational number. Because real numbers consist of both rational... View Article
Find the value of a and b if 5 + √6 / 5 – √6 = a + b √6
Given in the question that (5+√6)/(5-√6)= a+b√6 On rationalising the given fraction we get (5+√6)(5+√6)/(5-√6)(5+√6) = a+b√6 (5+√6)2/(5)2 – (√6)2... View Article
Find the HCF of 255 and 867
We have to find the CF of 867 and 255. Factors of 867 and 255: Factors of 867 = 1,... View Article
What is the value of tan 20 degree?
Tan is short for tangent. To calculate tan (20) degrees of a right-angled triangle, we use the following equation where... View Article
Give three rational number between 1/2 and 3/4.
Answer: We have to find three rational numbers between 1/2 and 3/4. To find the rational numbers between 1/2 and... View Article
What is the value of cosec 30?
The value of cosec 30 can be determined as shown below We know that cosec can be expressed as cosec... View Article
The weight of an empty gas cylinder is 16 4/5 kg and it contains 14 2/3 kg of gas. What is the weight of the cylinder filled with gas?
Given Weight of the empty cylinder = \(\begin{array}{l}16\frac{4}{5}\end{array} \) kg Weight of the gas = \(\begin{array}{l}14\frac{2}{3}\end{array} \) kg Find out... View Article
