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Algebra

The use of letters to substitute unknown numbers to form an equation. Solve the equation to get the unknown number using different methods such as simultaneous equations and more.

227,579 Questions

How do you get the radius if angle is 150 degrees and length of arc is 330 cm?

Well, isn't that just a happy little question! To find the radius when you have the angle and arc length, you can use the formula: radius = (arc length) / (angle in degrees) * (π/180). Just plug in the values you have, and you'll have your radius in no time. Remember, there are no mistakes, just happy little accidents in math!

What is three times some number plus eleven?

The expression "three times some number plus eleven" can be written as 3x + 11, where x represents the unknown number. This expression denotes multiplying the unknown number by three and then adding eleven to the result. It is a linear expression in algebra and can be simplified further depending on the context or problem it is being used in.

Which measurement is greater 70 inches or 6 feet?

To compare 70 inches and 6 feet, we need to convert one of the measurements to the same unit. Since 1 foot is equal to 12 inches, 6 feet is equal to 6 x 12 = 72 inches. Therefore, 6 feet (72 inches) is greater than 70 inches.

Which one is greater 6 yd or 12ft?

To compare 6 yards and 12 feet, we need to convert one of the measurements to match the other. Since 1 yard is equal to 3 feet, we can convert 6 yards to 18 feet. Therefore, 6 yards is greater than 12 feet.

List of all 4 digit combintions without repeating using only numbers 0-9?

Just do it systematically, START WITH 0123 0124 0125 etc 0129 now 1234 1235 keep going! There are 10 numbers from 0 to 9. So the number of combinations of 4 digits numbers is 30.

10C4 = 10!/[(10 - 4)!4!] = 10!/(6!4!) = (10 x 9 x 8 x 7 x 6!)/(6! x 4 x 3 x 2 x 1)= 10 x 3 = 30

What is the highest number ever counted to?

It appears there are no records of the highest number ever counted to. Because of that, it would be impossible to say what the highest number ever counted to is and any claims (see below) would be unverifiable. If you counted one integer per second every second for sixty years, you wouldn't make it to two billion, so let's say the record is less than that.

One experience:

I recently counted to "approximately" 258 quintillion googol.

Sincerely,

Daniel Robbins month 7/ day 20/2017

How many different 4 digit combinations are there using 0-9 but having no duplicate numbers in the combination?

Well, darling, if you want a 4-digit combination with no repeated numbers using 0-9, you simply multiply the number of choices for each digit. So, for the first digit, you have 10 options, then 9 for the second (can't repeat the first digit), 8 for the third, and 7 for the fourth. Multiply those together and you get 10 x 9 x 8 x 7 = 5040 unique combinations. Hope that tickles your fancy!

What is the little number above the big number?

An exponent. For example: 53 5 is the base number and the little 3 above the five is an exponent. Exponents represent the number of times the base value is multiplied by itself. So the above example shows that 5 is multiplied by itself 3 times: 5 x 5 x 5 = 53 = 125.

What does x to the half power mean?

Ah, a half power is like giving x a gentle hug and telling it to take a deep breath. It means finding the square root of x, which is like finding the number that, when multiplied by itself, equals x. So, x to the half power is just a way of saying the square root of x, allowing us to simplify and understand things in a beautiful way.

What is the least common multiple of 5 10 and 100?

Ah, the least common multiple is a special number that all the given numbers can go into evenly. Let's take a moment to appreciate the beauty of numbers coming together in harmony. The least common multiple of 5, 10, and 100 is 100, my friend. Just imagine those numbers dancing together in perfect rhythm.

Equilateral triangular prism surface area formula?

To find the surface area, the surface area of each rectangular side and the surface areas of the two triangular ends must be calculated. Given an equilateral triangular prism of height X and sides Y, each side has a surface area of X * Y. The end triangles are solved by using the Pythagorean theorem (a^2 + b^2 = c^2). In this case, a and c are known as Y and Y/2, so b= square root (Y^2 - (Y/2)^2). The area of a triangle is 1/2(base * height), where the base is Y and the height is b. The total surface area is then 3 * (X * Y) + 2 * ( 1/2 * (Y * (Y^2 - (Y/2)^2))).

What is the difference between a trend line and a line of best fit?

A trend line is graphed from a linear, exponential, logarithmic or other equation, and trys to fit the sorted data that you have. But it may or may not be correlated.

The line of best fit is the trend line that best fits your data, having a high correlation. R closer to 1.

What number to the third power equals 64?

Well, honey, if you're looking for a number that, when cubed, gives you 64, then the answer is 4. It's like math's little magic trick - 4 to the power of 3 is 64. So, there you have it - 4 is the sassy solution to your little math puzzle.

How do you find the width of volume only using length height?

Volume = Length * Height * Width

That equation can be rearranged to:

Width = Volume/(Length * Height)

This answer will only work for a cuboid (or a cube) and not any other 3d shape.

What is 200 g minus 1kg?

To subtract 1 kilogram from 200 grams, we need to convert both units to the same unit of measurement. Since 1 kilogram is equal to 1000 grams, we can subtract 1000 grams from 200 grams to get -800 grams. However, negative mass does not make sense in reality, so we need to convert -800 grams to -0.8 kilograms. Therefore, 200 g minus 1 kg is equal to -0.8 kg.

What is ratio of 15 and 75 in lowest terms?

This is all about factorising.

Firstly yo have to find the biggest number that will go into both 15 and 75.

15 goes into both 15 and 75.

Divide both numbers by 15, (15/15=1) (75/15=5)

Therefore the ratio in its lowest terms is 1:5

If you can not recognise that 15 is the highest common factor straight off then look for smaller ones each time.

e.g.

divide by 5. Ratio = 3:15

divide new ration by 3. Ratio = 1:5

How many 3 digit numbers can be made using 3 6 and 9 if digits can be repeated?

Well, honey, if you're using 3, 6, and 9 to make a 3-digit number with repetition allowed, you've got 3 choices for each digit. So that's 3 choices for the hundreds place, 3 choices for the tens place, and 3 choices for the units place. Multiply those together and you get 3 x 3 x 3, which equals 27 possible 3-digit numbers. Math made sassy!

What is the area of 4cm 9cm 7cm 5cm?

Since there are 4 lengths given, the shape could be a quadrilateral. Unfortunately, the lengths of the sides is not enough information to determine the shape of a quadrilateral. As an illustration, consider a square of sides 10 cm. Its area is 100 cm2. But it can be "distorted" into a rhombus with the same sides but the area can be reduced to as close to 0 as you like.

Four linear measures could also mean that it is a 4-dimensional cuboid in hyperspace or some other shape in 2 or 3 dimensions. But since these shapes cannot be determined, it is not possible to find an answer to the question.

What is the order of the string instruments from smallest to largest?

Alright, sweetheart, here's the rundown: we start with the violin, then move on to the viola, followed by the cello, and finally, we end with the big daddy of them all, the double bass. So, in short: violin, viola, cello, double bass. You're welcome, darling.

The difference between two numbers is 12 the smaller number is 17 what is the larger number?

To find the larger number, we can add the difference of 12 to the smaller number of 17. This gives us 17 + 12 = 29. Therefore, the larger number is 29.

How many vertices in a 22 sided polygon?

Oh, dude, a 22-sided polygon? That's like a party with 22 corners! So, a polygon has the same number of vertices as its number of sides, so there are 22 vertices in a 22-sided polygon. It's like math, but with shapes and stuff.