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sergiy2304 [10]
3 years ago
7

How to differenciate natural,whole,integers,rational,irrational numbers and real numbers sets from -12 to 49 and draw numbers li

nes to represent prime numbers and divisible by 7.
Mathematics
1 answer:
slavikrds [6]3 years ago
3 0

Answer:

Step-by-step explanation:

Natural Numbers :

These are numbers used for counting, they are the numbers on a number line. From -12 to 49, the natural numbers are 1, 2, 3, ..., 49.

Whole Numbers:

These are numbers that can be written without havin to write in fractions. They are 0, 1, 2, ..., 49.

Rational Numbers:

These are numbers that can be expressed as fractions.

Irrational numbers :

These are numbers that cannot be expressed as fractions.

Real Numbers:

These are numbers that can be used to measure quantities, they include negative, positive numbers and zero. From -12 to 49, all the numbers are real.

Prime Numbers:

These are numbers that are divisible only by one and themselves.

From 7 to 49, the numbers divisible by 7 are 7, 14, 21, 28, 35, 42, and 49.

Only 7 is prime.

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The least common multiple of two numbers is 60. the prime factorization of one number is 3 times 5. what is the prime factorizat
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7 0
3 years ago
the height of a triangle is 4 meters less than the base. if the area of the triangle is 6 m^2 what is the height of the triangle
inna [77]

Answer:

2m

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

A = \frac{1}{2}bh

They give us the area as 6m^2, so let's include it in the equation.

6 = \frac{1}{2}bh

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that h = b-4

So replace h in the equation with b-4.

You will now get:

6 = \frac{1}{2}b(b-4)

Now we can work towards solving. Let's get simplifying.

12 = b(b-4)\\12 = b^2 - 4b\\

bring everything to one side so we can make a quadratic and factor:

0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2

We get that b=6.

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that h = b - 4, so to find h, we just sub in our b value into that.

h = (6) - 4 = 2

We find that h=2

7 0
1 year ago
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