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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

On a sunny day if a 36inch yardstick casts a 21inch shadow how tall is a building whose shadow is 168ft?

So, I can't give you the answer with the appropriate formulas or w/e but this is how I figure it out in my head

Find the ratio between the yard stick and it's shadow
36/21 = 1.71
This means that object creating the shadow is 171% taller that its shadow is long

Find the amount of inches in 168 feet (this is to be more accurate with your answer)

168 * 12 = 2016 inches

Multiply the previous number by the ratio found before

2016 * 1.71 = 3447.4 inches (or 287.3 feet)

If a 36 inch yardstick casts a 21 inch shadow, a building whose shadow is 168 feet is 287.3 feet tall

s'howyagottadoitboyyiie

Another answer:

Using trigonometry will give you a more accurate answer

Tangent ratio = opposite (the yardstick) divided by the adjacent (yardstick's shadow)

Tangent ratio = 36/21 = 12/7 in its lowest terms

Now rearrange the formula to find the height of the building

Tangent ratio*adjacent (the building's shadow) = opposite (the building)

12/7*168 = 288

The height of the building is 288 feet.

How do you get the number 16 only using 1234?

To get the number 16 using only the digits 1, 2, 3, and 4, you can use the following mathematical expression: (4 x 3) + (2 x 1) = 12 + 4 = 16. This equation involves multiplication and addition, using each of the given digits exactly once.

How many square feet is 7' x 8'?

Oh, dude, that's an easy one. So, like, to find the square footage, you just multiply the length by the width. In this case, 7 feet times 8 feet equals 56 square feet. Boom, math made simple!

What are the advantages and disadvantages of machine language?

Advantage

The only advantage is that program of machine language run very fast because no translation program is required for the CPU.

Disadvantages

  1. It is very difficult to program in machine language. The programmer has to know details of hardware to write program.
  2. The programmer has to remember a lot of codes to write a program which results in program errors.
  3. It is difficult to debug the program.

1000 feet equals how many city blocks?

The number of city blocks in 1000 feet can vary depending on the city's block size. In a typical city where one block is around 200 feet, 1000 feet would be equivalent to 5 city blocks. However, in cities with larger or smaller block sizes, the number of blocks in 1000 feet would be different. It is important to consider the specific city's block dimensions to determine the exact number of blocks in 1000 feet.

How many times larger is 230 than 23?

Oh, dude, let me break it down for you. So, to find out how many times larger 230 is than 23, you just divide 230 by 23, which equals 10. So, 230 is 10 times larger than 23. Like, it's pretty simple math, but hey, I'm here to help.

How do you write 62.13 x 10 exponent 4 in scientific notation?

To write 62.13 x 10^4 in scientific notation, you would move the decimal point four places to the right to account for the exponent 4. This gives you 621,300. Therefore, 62.13 x 10^4 in scientific notation is 6.213 x 10^5.

What is the angle that measures 170 degrees?

Well, honey, if you're talking about an angle that measures 170 degrees, you're looking at an obtuse angle. It's bigger than a right angle but smaller than a straight angle. So, grab your protractor and get measuring!

What is the value of the expression 10000?

The value of the expression 10000 is simply 10,000. In numerical terms, this is a whole number that is equal to 10 to the power of 4, or 10^4. This value represents a quantity of 10,000 units, which can be visualized as a large quantity or amount.

What is 2.5 x 2.5?

There are many ways to figure 2.5x2.5. If the decimals confuse you, remove the decimals and you may insert them at the end. 25x25=625.

Remember*: When multiplying vertically, don't insert the decimal under the decimals in the factors:

2.5 Instead, move the decimal two places to the left since there

x2.5 are two decimals (one in each factor)

____ so that the answer is 6.25.

62.5 Not correct.

What is 29 in exponent form?

29 in exponent form is 29^1, as any number to the power of 1 is equal to the number itself. Exponent form represents the number of times a base number is multiplied by itself, with the exponent indicating the number of times the base is multiplied.

What is 4x squared times 4x squared?

4x^4 or 4x*4x*4x*4x

A formula would be (x^a)(x^b)= x^a+b

x^a) / (x^b)= x^a-b

What two numbers when added equal 41?

Well, honey, it doesn't take a rocket scientist to figure this one out. The two numbers you're looking for are 20 and 21. Add those bad boys together and you've got yourself a grand total of 41. Math can be a real piece of cake sometimes, don't you think?

What order of operations equal 29?

To get a result of 29 using the order of operations, you would need to perform addition, subtraction, multiplication, and division in the correct sequence. One way to achieve this is by starting with the expression: ( (6 \times 5) - 1 + (9 \div 3) = 29 ). This follows the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right) to reach the desired result of 29.

A number that multiplies a variable is called?

A constant.

* * * * *

The expected answer is more likely to be "coefficient".

What are the prime factors of 78?

The prime factors of 78 are 2, 3, and 13. To find the prime factors of a number, you can start by dividing the number by the smallest prime number, which is 2. If the number is divisible by 2, continue dividing by 2 until you reach a point where it is no longer divisible by 2. Then, move on to the next prime number, which is 3. Repeat the process until you have factored the number completely into its prime factors.

What is the greatest common factor of 15 and 24 and 30?

To find the greatest common factor (GCF) of 15, 24, and 30, we first need to find the factors of each number. The factors of 15 are 1, 3, 5, and 15. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The GCF of 15, 24, and 30 is the largest number that is a factor of all three numbers, which in this case is 3.

What is the area of a 1 inch square?

The area of a square is calculated by multiplying the length of one side by itself. In this case, if the square has a side length of 1 inch, you would multiply 1 inch by 1 inch, which equals 1 square inch. Therefore, the area of a 1 inch square is 1 square inch.

What 2 numbers can you add to get 6 and multiply to get 16?

There are no two real numbers that will do that.

You can only do it with complex numbers.

The two numbers are: 3 + i sqrt(7) and 3 - i sqrt(7)

What is the volume of a sphere that is 6.5 cm in diameter?

Well, darling, the volume of a sphere can be calculated using the formula V = (4/3)πr^3. Since the diameter is 6.5 cm, the radius would be half of that, which is 3.25 cm. Plugging that into the formula, the volume of the sphere would be approximately 179.58 cubic centimeters. Voila!

What fraction of a day is 7 hours?

Well, isn't that just a happy little question? If we think about a day as a whole pie, and we cut it into 24 equal slices, each slice represents an hour. So, if we take 7 slices out of the 24, that would be 7/24, which is the fraction of a day that 7 hours represents. Just remember, there are no mistakes, just happy little fractions!

How do you write 355 as a fraction or mixed number?

Well, honey, 355 is already a whole number, so you can write it as a fraction by putting it over 1, like 355/1. If you want to get fancy and turn it into a mixed number, it's 355 divided by 1, which equals 355 with a remainder of 0. So, the mixed number is just 355. Hope that clears things up for ya!

Is 121 Prime Composite or neither?

121 is a composite number because it can be divided evenly by numbers other than 1 and itself. In this case, 121 can be divided by 11 and 1. Prime numbers are only divisible by 1 and themselves, which is not the case for 121.

What is 9700 m in km?

Well, isn't that a lovely question! To convert meters to kilometers, you simply need to remember that 1 kilometer is equal to 1000 meters. So, to convert 9700 meters to kilometers, you just divide 9700 by 1000, giving you 9.7 kilometers. Just like painting a happy little tree, it's all about taking small, simple steps to reach your desired outcome.

How many perpendicular lines does a nonagon have?

The question doesn't quite make sense as stated. A regular nonagon has nine sides and each side has a unique perpendicular bisector - there are 9.

A regular n-gon has n perpendicular bisectors of sides, if n is odd. If n is even, then there are only n/2 since opposite sides share the same perpendicular bisector.