What’s the function of the Unit Circle and why is it called the unit Circle?

Answers

Answer 1
Answer:

Answer:

It is a unit of radius that is radius of 1. Thus, the distant to the middle to any edge is always 1.

Step-by-step explanation:

Answer 2
Answer:

Final answer:

The Unit Circle, a circle with a radius of 1 unit, plays a key role in standardizing angles and distances in trigonometry and geometry. Angles can be measured using radians around the unit circle, converting between degrees and radians as needed. All points on a unit circle are equidistant from the center, aiding in understanding rotational scenarios.

Explanation:

The Unit Circle serves a crucial function in Mathematics, especially in subjects like trigonometry and geometry. The unit circle is a circle that has a radius of 1 unit, which is why it's called the 'Unit' Circle. This seemingly simple circle has profound implications because it standardizes measurement across the entire discipline of mathematics, enabling easier calculations and interpretations.

Radians, which are dimensionless units defining the ratio of arc length to the radius of a circle, are conventionally used to measure angles around the unit circle. A complete rotation or revolution covers 2π radians or 360 degrees. Hence, we can convert between radians, revolutions, and degrees for convenience in different calculations.

In a unit circle, all points on the circumference are equidistant from the center. This distinct property of the circle provides a solid basis for understanding rotational scenarios, which are essential in everything from measuring time to predicting the location of celestial bodies in astronomy.

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De un numero se sabe que si a su cuadrado le restamos su mitad, se obtiene el mismo numero, Cuál es?

Answers

Answer:

2

Step-by-step explanation:

el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2

Answer: 2

Step-by-step explanation : el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2    Espero que ayude Ten un día maravilloso :)

If (x + 2 ) is a factor of x3 − 6x2 + kx + 10, k =

Answers

If a binomial x-a is a factor of a polynomial p(x), then p(a)=0.

x+2 is a factor of p(x)=x³-6x²+kx+10, so p(-2)=0.

p(-2)=0 \n(-2)^3 - 6 * (-2)^2 + k * (-2) + 10=0 \n-8-6 * 4-2k+10=0 \n-8-24-2k+10=0 \n-2k-22=0 \n-2k=22 \nk=(22)/(-2) \n\boxed{k=-11}

Answer:

-11

Step-by-step explanation:

A box contains bags of crisps. Each bag of crisps weighs 25 grams. Altogether, the bags of crisps inside the box weigh 1 kilogram. How many bags of crisps are inside the box?

Answers

1 kilogram = 1,000 grams

1,000 / 25 = 40 bags.

Find the least common multiple of x3 - x2 + x - 1 and x2 - 1. Write the answer in factored form.A. (x + 1)^2(x - 1)

Answers

(x^3-x^2+x-1)(x^2-1)

x^5-x^3-x^4+x^2+x^3-x-x^2+1

x^5-x^4-x+1

x^4(x-1)-(x-1)

(x^4-1)(x-1)

Rewrite 163/4 in as many different ways as you can

Answers

There's an infinite number of ways we can rewrite 16 3/4, some of them being:

16 3/4
16 6/8
16 12/16
16 24/32
16.75
67/4
335/20
670/40
etc.

I hope it will help you ;)

16 (3)/(4) =16.75=16 (12)/(16)
thats all I can think of.

How do you use numerical expressions to solve real-world problems?

Answers

Answer:

We know that numerical expressions are the expressions that contains numbers and operations namely addition, subtraction, multiplication and division.

Now, numbers are required in our life to make it easier.

For e.g. If we need to find the number of candies which are to be distributed among the class of 50 students, where each student get 2 candies each.

We do not start counting the numbers but instead use numerical expressions as,

Number of students in the class = 50

Number of candies each student gets = 2

Total number of candies required = 50 × 2 =100.

So, we see that in place of using the time consuming method of counting, we used numerical expressions which saved the time and was easy to apply.

In this way, there are numerous real-life situations which are easily solved with the help of numerical expressions such as when we need to find how much discount is applied to a product, to find the area of a rectangular park, to find the amount of ingredients required to bake a cake and many more.

The numerical expression is very helpful to solve the real world problem as they can be written in mathematical way and solved by algebraic operations.

What is numerical expression?

Number expression are the expression, which are used to represent the statement of general problem in the mathematical form. By this mathematical form the problem can be solved and real solution is find out.

The numerical expression are used to represent the general problem in the mathematical way to solve them.

The numerical expression find the value of unknown objects.

Steps to write down the simple numericalexpression-

  • Identify all the factors of the expression..
  • Find the expression which gives same results.
  • Equate the similar expressions.

For example let a problem in which there is total Andrew has 10 toys. He gives 2 to his brother, 3 to his friend and got 5 toys form his mother.

To find how many toys Andrew remains, we can write this problem in the numerical expression as,

10-2-3+5=8-3+5\n10-2-3+5=5+5\n10-2-3+5=10\n

Thus, the Andrew has 10 toys left.

Hence, the numerical expression is very helpful to solve the real world problem as they can be written in mathematical way and solved by algebraic operations.

Learn more about the numerical expression here;

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