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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

What is x if 6x-13 equals 47?

6x - 13 = 47

Add '13' to both sides

Hence

6x + 13 - 13 = 47 + 13

6x = 60

Divide both sides by '6'

6x/6 = 60 /6

Cancel down

x = 10 The answer!!!!!

Can You Solve for x. (5x) - (2(x-3)) 0?

To solve the equation ( (5x) - (2(x - 3)) = 0 ), first distribute the -2: ( 5x - 2x + 6 = 0 ). This simplifies to ( 3x + 6 = 0 ). Next, subtract 6 from both sides to get ( 3x = -6 ), and then divide by 3 to find ( x = -2 ).

What is 174cm x 174 cm in square meters?

174 cm is 1.74 meters.

So 1.74*1.74 = 3.0276 square meters.

What is non biodigradable?

Non-biodegradable refers to materials that cannot be broken down naturally by microorganisms such as bacteria and fungi, or that take an extremely long time to decompose.

Examples of non-biodegradable materials include:

  • Plastic bags and bottles

  • Glass

  • Metal cans

  • Styrofoam

  • Synthetic rubber

These materials can remain in the environment for many years, contributing to pollution and harming wildlife.

What is the square root of a right angle?

The square root of a right angle is 45º. Take, for example the √i=a+bi. Squaring both sides gives i=a²+2abi+b²i². Then, a²-b²+(2ab-1)i=0. Resolving for a²-b²=0 and 2ab-1=0, results in √i=(1+i)/√2. This is a 45º vector of magnitude 1/√2.

What is the slope for the equation x plus 3y equals 9?

To find the slope of the equation (x + 3y = 9), first, rearrange it into slope-intercept form (y = mx + b). Subtract (x) from both sides to get (3y = -x + 9), and then divide by 3: (y = -\frac{1}{3}x + 3). The slope (m) is (-\frac{1}{3}).

How many m3 are there in 100 cm3?

100 cm^(3) / 1000000 cm^(3) = 1/10000 m^(3) = 0.0001 m^(3) or 1.0 x 10^(-4) m^(3)

What is the cosign of pi?

First of all it is spelled as 'Cosine' , and shortened to 'Cos'.

pi and has the approximate value . 3.141592.....

Hence

Cos(pi) = Cos( 3.141592.... ) = 1.0 ( On calculators it may shown 0.998.... , this is because the value of 'pi' is only approximate.

What is the ratio of the cosine of an angle?

Cosine ( angle) = adjacent / hypotenuse.

The adjacent and the hypotenuse are the two lines that form the angle

What are the trigonometric functions?

The principal Trigonometric function is Sine(Sin).

It has a complementary function Cosine (Cos).

Bases on these two functions, are further trig. functions. they are.

Tangent(Tan) = Sin /Cos

Cosecant(CSC) = 1/Sin

Secant (SEC) = 1/Cos

Cotangent(COT) = Cos/Sin

The word 'Sine' comes from Latin , and means 'curve'. Initially you learn it between 0 - 90 degrees. It is a continuous 'wave', from infinity to infinity. .

The Sin/Cos functions only range from -1 to 1 through '0'.

The Tan function ranges from negative infinity to positive infinity, through '0'.

For a triangle inscribed in a circle.

At the circles centre, the radius may be '1' unit. If the radius is angles at 30 degrees from the horizontal(x) axis, then the vertical (opposite) lines perpendicular height of the triangle is exactly '1/2' ( 0.5), compared to the radius.

Hence the Sin( 30 degrees) is opposite / radius(hypotenuse) = (1/2)/1 = 1/2

All the othesr trig. functional answer are based on moving the radius from horizontal to vertical. with in the described circle. This is why it produces , such 'horrible' decimal figures.

Have a look in Castle's Four Figures Tables, rather than using a pocket calculator, and also graphs of the Sine/Cosine and Tangent curves.

What is tan of 0?

Tan(0) = 0

Remember

Tan(0) = Sin(0)/Cos(0) = 0/1

And Sin(0) = 0

Hence it follows that Tan(0) = 0

How do you convert mm of water column into meter cube?

You cannot convert. because

'mm' is millimetres ; a LINEAR measurement

'metre cubed(m^(3)' ; is a VOLUMETRIC measurement.

NB

you need two further measurements of width and depth to convert a linear measurement to a volumetric measurement.

How do you solve tan squared theta - tan theta equals 0?

Let x = theta, since it's easier to type, and is essentially the same variable. Since tan^2(x)=tan(x), you know that tan(x) must either be 1 or zero for this statement to be true. So let tan(x)=0, and solve on your calculator by taking the inverse. Similarly for, tan(x)=1

When do 3 numbers not form a triangle?

For example:

100% Cyan + 0% Magenta + 0% Yellow = Bright Cyan

50% Cyan + 50% Yellow = Light Green

80% Magenta + 20% Yellow = Pink

Small amounts of all three = Brown or Gray

Changing the percentage of each ink creates thousands of unique combinations.

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If 23 is added to the square of a number the result is 104?

to get the answer of this is to change the whole thing to algebra that is

Let put an X as unknown squared number X * X + 23 =104

subtract 23 from both sides X * X + 23 - 23 = 104 - 23

X * X = 81

Now find the square root of 81. the square root of 81 is 9.

check: 9 * 9 + 23 = 104

What is the volume of a cube if the surface area is 9600 sq ft?

Oh, what a happy little question! To find the volume of a cube, we need to know the length of one side. Since the surface area is 9600 sq ft, we can find the length of one side by taking the square root of 9600, which is 96. So, the volume of the cube would be 96 x 96 x 96 = 884,736 cubic feet. Just imagine all the lovely things you could create in a space that big!

What is the function of a cyloplast?

A cytoplast, more commonly referred to as a cytoplast, is a cellular component that refers to the living part of the cell excluding the nucleus. It serves as the site for various metabolic processes and contains organelles that perform essential functions, such as energy production, protein synthesis, and waste processing. In plant cells, the cytoplast includes structures like chloroplasts, which are crucial for photosynthesis. Overall, it plays a vital role in maintaining the cell's life and functionality.

Is y (3 2) a trinomial with a constant term?

The expression ( y = 3x^2 ) is not a trinomial; it is a monomial because it contains only one term. A trinomial consists of three terms, typically a quadratic expression of the form ( ax^2 + bx + c ). Since there is no constant term present in the expression given, it does not qualify as a trinomial.

What is patterning and algebra?

Patterning and algebra involve recognizing and utilizing relationships between numbers and variables to express mathematical concepts. Patterning refers to identifying sequences and regularities in data, which helps in making predictions or solving problems. Algebra extends this idea by using symbols and letters to represent numbers and formulate equations, allowing for the manipulation and analysis of mathematical relationships. Together, they form foundational skills in mathematics that are essential for more complex problem-solving.

When we rewrite an expression so that it has no grouping symbols and all of the like terms have been combined we it?

When we rewrite an expression to eliminate grouping symbols and combine like terms, we are simplifying the expression. This process makes it easier to understand and work with by presenting the expression in its most concise form. The result is often referred to as the "simplified form" of the expression.