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2 years ago

Identify all number sets to which the square root of 25 belongs to.

Mathematics

1 answer:

const2013 [10]2 years ago

4 0

Answer:

SOLUTION: Explain why the square root of 25 belongs to 4 subsets of the real numbers , but the square root of 5 only belongs to 1 . tell which subsets each belong to and why .

Step-by-step explanation:

The square root of 25 is 5, which

1. A rational number, since 5 is the ratio of the two integers 5 and 1.

2. An integer since 5 is an element of {...,-3,-2,-1,0,1,2,3,.}

3. A whole number, since 5 is an element of {0,1,2,3.}

4. A counting number, since 5 is an element of {1,2,3,}

The square root of 5 is only

1. An irrational number, since it is not the ratio of any two integers.

[It can only be approximated by

this nonrepeating infinite decimal, it goes on forever:

2.2360679774997896964091736687312762354406183596115257...]

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Pls help me no explain need ❤️❤️❤️

RoseWind [281]

Answer:

$\displaystyle m=2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Reading a Cartesian plane
Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-5, 0)

Point (-9, -8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{-8-0}{-9+5}$
[Fraction] Subtract/Add: $\displaystyle m=\frac{-8}{-4}$
[Fraction] Divide: $\displaystyle m=2$

3 0

2 years ago

Can someone please give me a lesson on angles of depression and elevation?

Romashka-Z-Leto [24]

Answer:

Angles of depression and elevation

The term angle of elevation denotes the angle from the horizontal upward to an object. The term angle of depression denotes the angle from the horizontal downward to an object. ... An observer's line of sight would be below the horizontal.

Step-by-step explanation:

I hope it's help u

8 0

3 years ago

Prove that the value of the expression (125^2+25^2)(5^2–1) is divisible by 3

Radda [10]

Step-by-step explanation:

$A =(125^{2} + 25^{2} ) (5^{2} - 1)\\A = [(5^{3})^{2} + (5^{2})^{2} ] . (5^{2} - 1)\\A = (5^{6} + 5^{4} ). (5^{2} - 1)\\A = [5^{4} . ( 5^{2} + 5)].(5^{2} - 1) \\A = 5^{4} . (25+ 5). (5^{2} - 1)\\A = 5^{4} . 30. (5^{2} - 1)\\$

Since 30 is divisible by 3

Thus, A is divisible by 3

Good luck!

5 0

3 years ago

Read 2 more answers

Tina lives in a state that charges her 4.5% state income tax on her federal taxable income. If her federal taxable income is $61

Irina-Kira [14]

$ 2772 is paid in state income tax

Solution:

Given that, Tina lives in a state that charges her 4.5% state income tax on her federal taxable income

Federal taxable income = $61,600

To find: Amount paid by Tina in state income tax

Tax rate = 4.5 %

Which means, 4.5 % of $61,600 is paid as tax

$Tax\ Rate = 4.5 \% \text{ of } 61600$

Here, "of" means multiplication or product

$Tax\ Rate = 4.5 \% \times 61600\\\\Tax\ Rate = \frac{4.5}{100} \times 61600\\\\Tax\ Rate = 0.045 \times 61600\\\\Tax\ Rate = 2772$

Thus $ 2772 is paid in state income tax

7 0

3 years ago

HELPPPPPPPPPP due in 10 min

nlexa [21]

Answer:

8 is the length of JB

Step-by-step explanation:

Key skills needed: Equations, Congruence

1) We need to find out an equation to make based on the lengths that are given. ΔJMB is congruent to ΔKMB because of Side-Angle-Side:

JB is congruent to BK
Angle MBK would be a right angle, since it is supplementary to the right angle JBM. Since both are right angles they are congruent.
Both triangles have the side BM. Using the reflexive property, BM is congruent to itself, so there you go --> Side-Angle-Side

2) Now since both triangles are congruent, we can make the equation that the length of JM is congruent to the length of MK, using the fact that: If triangles are congruent, then corresponding parts are congruent.

3) This means that 16x -24 = 4x

Subtract 16x from both sides : -24 = -12x

Divide by -12 on both sides and get x = 2

4) Substitute x into the length of JB (16x-24)

16(2)-24 = 32-24 = 8

5) Therefore, the length of JB is 8

Hope you understood and have a nice day!! :D

4 0

3 years ago