HCF of 135 and 225 by Prime Factorization
To find the HCF (Highest Common Factor) of 135 and 225 using prime factorization, we first need to determine the prime factors of each number. Step 1: Prime Factorization of 135 135 is divisible by 3: 135 ÷ 3 = 45 45 is also divisible by 3: 45 ÷ 3 = 15 15 is divisible […]
Which type of triangle will always have exactly 1 fold reflectional symmetry?
The type of triangle that will always have exactly 1 fold reflectional symmetry is the isosceles triangle. An isosceles triangle has two sides of equal length and one side that is of a different length. The line of symmetry in an isosceles triangle runs down the middle, from the vertex angle (the angle between the […]
Select the Graph of the Solution: Click Until the Correct Graph Appears x 4
To solve the equation x = 4, we need to understand what this means in a graphical context. The equation represents a vertical line on the Cartesian coordinate system where the value of x is always 4, regardless of the value of y. When looking for the graph of this solution, you should identify a […]
Which number should come next at the end of this series 1, 4, 9, 16?
The next number in the series is 25. This series is composed of perfect squares. The numbers you see are: 1 is 1 squared (12) 4 is 2 squared (22) 9 is 3 squared (32) 16 is 4 squared (42) Continuing this pattern, the next number would be 5 squared (52), which equals 25.
A pair of pants with a marked price of $3500 has a discount of 20%. How much is the discount?
To calculate the discount on the pants, we need to find 20% of the marked price, which is $3500. The formula for calculating the discount is: Discount = (Discount Percentage / 100) × Marked Price In this case, it would be: Discount = (20 / 100) × 3500 Calculating that gives: Discount = 0.20 × […]
What are real life examples of inverse proportion?
Inverse proportion, also known as inverse variation, occurs when one quantity increases while the other decreases in such a way that their product remains constant. Here are a few real-life examples: Speed and Travel Time: Consider a scenario where you are driving a fixed distance. The time it takes to travel that distance is inversely […]
How can I express the polynomial 6x^54 + 4x^52 + 6 in the form of a quadratic using substitution?
To rewrite the polynomial 6×54 + 4×52 + 6 in a quadratic form, we can use substitution. Let’s choose a substitution that simplifies the expression significantly. A good substitution in this case is to let: y = x26 This choice is effective because: x54 = (x26)2 * x2 = (y2) * x2 x52 = (x26)2 […]
How do you factor completely the expression x² – 8x + 16?
To factor the expression x² – 8x + 16 completely, we first look for two numbers that multiply to the constant term (16) and add up to the coefficient of the middle term (-8). The numbers that satisfy these conditions are -4 and -4, since: -4 × -4 = 16 -4 + -4 = -8 […]
What Does Rounding Off Mean in a Number System?
Rounding off is the process of adjusting the digits of a number to make it simpler and easier to work with, while still retaining its approximate value. This technique is commonly used in various mathematical applications and everyday life. When rounding off a number, you look at the digit in the place value to which […]
If angle A has a measurement of 42 degrees and is complementary to angle B, what’s the measure of angle B?
To find the measure of angle B, we start by remembering the definition of complementary angles. Two angles are considered complementary when the sum of their measurements equals 90 degrees. Given that angle A measures 42 degrees, we can set up the equation: Angle A + Angle B = 90 degrees Substituting the measurement of […]