What is 5 square root of 54

Answers

Answer 1

Answer: $5√(54)=5√(9\cdot6)=5\sqrt9\cdot\sqrt6=5\cdot3\sqrt6=15\sqrt6\n\n\n15\sqrt6\approx15\cdot2.4495=36.7425$

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Whats the square root of 40

Answers

To simplify the square root of 40, first notice that 40 is not a perfect square. We can start by setting up a factor tree. 40 factors as 2 times 20. 20 factors as 2 times 10 and 10 factors as 2 times 5. There is a pair of two's so this means that a two can come out of the radical. The 2 and the 5 do not match up so they will stay inside the radical. If you multiply them together you will make 10.

Therefore, the square root of 40 simplifies to 2 root 10.

Image provided.

The numerical expression √40 in the simplified form will be 2√10.

Given that:

Number, n = √40

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

It is a method for dividing a number into pieces that will be multiplied together.

The factors of the number 40 are calculated as,

40 = 2 x 2 x 2 x 5

40 = 2² x 10

The expression is simplified as,

√40 = √(2² x 10)

√40 = √(2)² x √10

The square root is canceled out by a square. Then the numerical expression is written as,
√40 = √(2)² x √10

√40 = 2 x √10

√40 = 2√10

More about the Algebra link is given below.

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I need to simplify...help

Answers

Answer:

The answer to your question is $(3a^(5)b)/(4)$

Step-by-step explanation:

$(6a^(2)b^(-2))/(8a^(-3)b^(3))$

Process

To solve this problem, just remember the exponent's laws, in the division, exponents subtract and the coefficients just simplify.

1.- Simplify the coefficients

$(6)/(8) = (3)/(4)$

2.- Simplify "a's"

a² a⁺³ = a⁵

3.- Simplify "b's"

b⁻² b³ = b

4.- Write the expression

$(3a^(5)b)/(4)$

How many solutions exists for the given equation?

Answers

Answer:

One solution

Step-by-step explanation:

1/2(x+12)=4x-1

1/2x+6=4x-1

x=2

What is the slope of the line shown in the graph? A coordinate plane is shown. Points are graphed at negative 3 comma 2 and negative 1 comma negative 1. The points are connected by a line. −3 over 2 −1 over 2 3 over 2 Undefined

Answers

The slope of a line is the rate of change of the line

The slope of the line is -3/2

The points on the line are given as:

$\mathbf{(x,y) = \{(-3,2)\ (-1,-1)\}}$

The slope (m) is calculated as:

$\mathbf{m = (y_2 - y_1)/(x_2 - x_1)}$

So, we have:

$\mathbf{m = (-1-2)/(-1--3)}$

$\mathbf{m = (-3)/(2)}$

Rewrite as:

$\mathbf{m = -(3)/(2)}$

Hence, the slope of the line is -3/2

Answers

Answer:

164 tiles

Step-by-step explanation:

Per the above details, we will require tiles along all the sides of the swimming pool ,hence the circumference of the pool is denoted as;

= 2(wide + long)

Wide = 30 feet

Long = 50 feet

Circumference = 2(30 + 50)

Circumference = 2(80)

Circumference = 160.

It means that minimum of 160 tiles of 1 ft length is required, however, we will also require tile on each of the corners(4), total equals

= 160 + 4

= 164 tiles

A total of 164 tiles are there surrounding the pool.

you have 12 balloons to blow up for a party.You blow up 1/3 of them and your friend blows up five of them.What fraction of the balloons need to be blown up

Answers

Given:
12 balloons
1/3 I blew up
5 my friend blew up.

1/3 * 12 = 12/3 = 4
4 + 5 = 9 number of balloons blown up.

12 - 9 = 3 number of balloons that need to be blown up.

3/12 = 1/4 is the fraction of the balloons needed to be blown up.

Answer:

1/4

Step-by-step explanation:

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