Algebra

To find the interior angle of a polygon, you can use the formula: (n-2) * 180 / n, where n is the number of sides. For a 9-sided polygon, the formula would be (9-2) * 180 / 9, which simplifies to 7 * 180 / 9 = 1260 / 9 = 140 degrees. Therefore, the interior angle of a 9-sided polygon is 140 degrees.

Oh, what a happy little question! When you multiply the length of an object by its height and then by its width, you're finding the volume of that object. It's like painting a beautiful picture in three dimensions, creating depth and space. Just remember to embrace your mistakes and turn them into happy little accidents along the way.

"DM" stands for decimeter in the metric system. It's basically a fancy way of saying one-tenth of a meter. So if someone tells you to move something 3 dm to the left, just think of it as moving it 30 centimeters. Easy peasy lemon squeezy!

The factors of 625 are the numbers that can be multiplied together to result in 625. The factors of 625 are 1, 5, 25, 125, and 625. This is because 1 x 625 = 625, 5 x 125 = 625, and 25 x 25 = 625. Therefore, the factors of 625 are 1, 5, 25, 125, and 625.

Oh, dude, math time! So, like, 56 times 6 equals 336. Boom, there you go. Math wizardry at its finest.

There is none because the Least Common Denominator (or LCD) is the Least Common Multiple (LCM) of the denominators of two or more fractions. Even if you converted your numbers (x) to their fraction equivalents (x/1), the LCD will always be 1.

Oh, dude, fractions that make a whole, like 1 whole pizza, are like 1/1, 2/2, 3/3, and so on. It's like saying you have the whole pie, but you're just cutting it into smaller pieces and then putting them back together. So, yeah, any fraction where the numerator and denominator are the same makes a whole.

6ft=1.8288 metres.

5ft=1.524 metres.

So the answer would be 1.8288x1.524 if you need...

Oh, dude, let's break out the math for this one. So, if you ran 400 meters in 80 seconds, your speed would be 5 meters per second. That's like, how fast you'd be zooming past everyone trying to catch up. Keep up the pace, Speedy Gonzales!

To find the radius of a circle with an area of 121 square units, you first need to use the formula for the area of a circle, which is A = πr^2, where A is the area and r is the radius. In this case, the area is 121, so 121 = πr^2. To solve for the radius, you divide both sides by π and then take the square root, giving you r = √(121/π) ≈ 6.18 units.

I am sure there are several; the simplest would be a right triangle, which means, a triangle with a right angle.

3^(7) X 3^(3) =

3^(7 + 3) =

3^(10)

The rules for For manipulating indices are .

#1 ; The coefficient MUST always be the same '3' in the above case.

#2 ; For Multiplication , you ADD the indices.

#3 ; For Division you subtract the indices.

#4 ; For 'nesting' you multiply the indices.

Using the above data.

Multiplication / Addition already done!!!!

Division/subtraction 3^(10) divide 3^(3) = 3^(10 - 3) = 3^(7)

'Nesting' [ 3^(10) ] ^(3) = 3^(10 x 3) = 3^(30)

These are algebraically expressed as

a^(m) X a^(n) = a^(m+n)

a^(m) / a^(n) = a^(m-n)

[a^(m)]^(n) = a^(mn).

NB Finally, you cannot do a^(m) X b^(n) is not equal to [ab]^(m+n). , because the coefficient 'a' & 'b' are different.

Oh, dude, you're hitting me with the unit conversion question! So, like, 60 liters of water would be around 60 kilograms because the density of water is about 1 kilogram per liter. But, you know, if we're talking about something else like feathers or marshmallows, then we're in a whole different ballpark.

The value of 12C3, also known as "12 choose 3" or the combination of 12 items taken 3 at a time, can be calculated using the formula nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items being chosen. Plugging in the values for n = 12 and r = 3, we get 12C3 = 12! / (3!(12-3)!) = 12! / (3!9!) = (12 x 11 x 10) / (3 x 2 x 1) = 220. Therefore, the value of 12C3 is 220.

area of a triangle = (base x height)/2 = (4 units x 14 units)/2 =28 square units

The reciprocal of a number is simply 1 divided by that number. Therefore, the reciprocal of 40 is 1/40. In mathematical terms, if we represent the reciprocal of 40 as x, then x = 1/40. This reciprocal value is important in various mathematical operations and calculations.

Which two integers is the irrational number √77 between?

The algebra teacher's advice on successful dieting likely involved the concept of balancing input and output. In algebra, this can be represented by equations where the intake of calories is equal to or less than the calories burned through physical activity. This advice emphasizes the importance of calorie management and understanding the mathematical relationship between food consumption and energy expenditure to achieve weight loss or maintenance.

If 3 is not a common factor of a pair of numbers, then other numbers that cannot be common factors are any multiples of 3, such as 6, 9, 12, and so on. This is because if a number is a multiple of 3, it will also be divisible by 3, making it a common factor. Additionally, any prime numbers that are not factors of 3, such as 2, 5, 7, 11, and so on, cannot be common factors either.

Oh, dude, x squared is not technically a variable itself, it's more like a term in an algebraic expression. The variable is actually just "x," but when you square it, you get x squared. It's like the cooler, more powerful version of x. So yeah, x squared is not a variable, it's just x being all squared up and stuff.

The type of mathematics that uses letters instead of numbers is called algebra. Algebra is a branch of mathematics that deals with symbols and the rules for manipulating these symbols to solve equations and represent mathematical relationships. In algebra, letters are used to represent unknown quantities, variables, or constants in mathematical expressions and equations. This allows for the generalization of mathematical concepts and the solution of problems involving unknown values.

Oh, what a happy little question! To find the area of a circle, we use the formula A = πr^2. Since the diameter is 22 ft, the radius (which is half the diameter) would be 11 ft. Plugging that into the formula, we get an area of approximately 380.13 square feet. Just imagine all the happy little trees you could fit in that space!

Yes, 78 is a composite number. A composite number is a positive integer that has more than two distinct positive divisors. In the case of 78, it has divisors other than 1 and itself, such as 2, 3, 6, 13, 26, and 39.