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3 years ago

Which of the following statements are true?

Mathematics

1 answer:

Verizon [17]3 years ago

8 0

The correct option for the given question is B) statements 3 & 4.

Step by Step Explanation:

All rational numbers are irrational numbers - These statement is false .The rational numbers are the numbers which are written in Ratio The number which has quotient or fraction is a rational numbers . While the irrational numbers are the numbers are the numbers which are not rational because it cannot be written as ratio of integers .
All integers are Natural numbers - These statement is false . Integers can be negative while natural numbers start from 1,2... while they all are positive so all integers are not natural numbers. but all natural numbers are integers .
All Rational & Irrational Numbers are Real Numbers - These statement is true as real numbers are the numbers which are represented on the number line . While both rational and irrational numbers are real numbers
Rational Numbers are not Irrational Numbers, vice versa - These statement is true . Referring the 1st point we can say that this statement is true. Irrational numbers are the numbers which are not rational and vice versa.

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2 years ago

Which summation formula represents the series below? 13 + 9 + 5 + 1

Ket [755]

Answer:

The summation formula for the series is ⇒ 15n - 2n²

Step-by-step explanation:

* Lets check the series 13 , 9 , 5 , 1

∵ 9 - 13 = -4

∵ 5 - 9 = -4

∵ 1 - 5 = -4

∴ The series has a common difference

∴ It is an arithmetic series with first term a and constant difference d

* That means

- a1 = a , a2 = a + d , a3 = a + 2d , a4 = a + 3d

∴ an = a + (n - 1)d, where n is the position of the number in the series

* The sum of the arithmetic series can find by the rule

- Sn = n/2[2a + (n - 1)d], where n is the number of terms you want to add

* Lets use this rule in our problem

∵ Sn = n/2[2(13) + (n - 1)(-4)]

∴ Sn = n/2(26 + (-4n + 4)] ⇒ open the small bracket

∴ Sn = n/2[26 - 4n + 4] ⇒collect the like terms

∴ Sn = n/2[30 - 4n] ⇒ open the bracket

∴ Sn = (n/2)(30) - (n/2)(4n)

∴ Sn = 15n - 2n²

* The summation formula for the series is 15n - 2n²

7 0

3 years ago

Read 2 more answers

What is the area of the rectangle?

Molodets [167]

Answer:

Step-by-step explanation:

Please look at the attached picture for full solution.

Method 1 is using the shoelace method to find the area of the rectangle. Shoelace method can be used to find the areas of any polygons given their coordinates. The coordinates have to be taken in an anticlockwise order and ending with the first coordinate.

Method 2 is making use of the distance formula of two points. The formula is as shown below:

$\sqrt{(x1 - x2) ^{2} + (y1 - y2)^{2} }$

Having found the distance of the length and breadth of the rectangle, you can now find its area since area of rectangle= length × breadth.

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3 years ago

3k=12+2l/5 solve for L

Reika [66]

Answer:(15k-60)/2

Step-by-step explanation:

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