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LekaFEV [45]
3 years ago
6

the floor of the commons room at king middle school is in the shape of a square with the side lengths of x^2 y^3. new tile is go

ing to be put in the floor if the room. find the area of the floor

Mathematics
2 answers:
My name is Ann [436]3 years ago
7 0

The shape of the common room's floor is square

Side length of the square = x²y³

Area of the square = Side²

⇒ Area of the square = (x²y³)²

⇒ Area of the square = x⁴y⁶

Hence the area of the room is x⁴y⁶ square units.


Elodia [21]3 years ago
5 0

We are given: The length of the square floor of common room = x^2y^3.

We need to find the area of the floor to room to be covered with the new tiles.

Solution: The shape of the floor is a square.

We know the formula of the square is given by

Area of a square = Side * side = (side )^2

Plugging value of side length x^2y^3 in formula of area, we get

Area of a square floor = (x^2y^3)^2.

In order to simplify, we need to apply Power of Power rule of exponents.

According to Power of Power rule of exponents the whole power is to be distribute over the exponents inside parenthesis.

Therefore,

(x^2y^3)^2=x^{2*2} y{3*2} = x^4y^6

So, the expression for area of the floor is x^4y^6 feet square.

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Answer:

Gold, Orange, White, Blue

Step-by-step explanation:

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3 years ago
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Neko [114]

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CLAE

Step-by-step explanation:

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8 0
2 years ago
In 2000, the circulation of a local newspaper was 3,250. In 2001, its circulation was 3,640. In 2002, the circulation was 4,100.
vodka [1.7K]

Percent increase from 2000 to 2001 is 12% and from 2001 to 2002 is 12.6%. Thus period of 2001 to 2002 has higher increase percentage.

<u>Solution:</u>

Given that,

Total circulation of local newspaper in 2000 = 3250

Total circulation of local newspaper in 2001 = 3640

Total circulation of local newspaper in 2002 = 4100

<em><u>Finding percent of increase in the newspaper’s circulation from 2000 to 2001:</u></em>

\text { Percent increase from } 2000 \text { to } 2001=\frac{\text { change in circulation from 2001 - 2000 }}{\text { circulation in } 2000} \times 100

\begin{array}{l}{=\frac{3640-3250}{3250} \times 100} \\\\ {=\frac{390}{3250} \times 100=12 \%}\end{array}

<em><u>Finding percent of increase in the newspaper’s circulation from 2001 to 2002:</u></em>

\begin{array}{l}{\text { Percent increase from } 2001 \text { to } 2002=\frac{\text { change in circulation }}{\text {circulation in } 2001} \times 100} \\\\ {=\frac{4100-3640}{3640} \times 100} \\\\ {=\frac{460}{3640} \times 100=12.6 \%}\end{array}

As we can see 12% < 12.6%

So period of 2001 to 2002 has higher increase percentage.

7 0
3 years ago
You deposit $975.52 in a bank account. Find the balance after 4 years if the account pays 7.25% annual interest compounded quart
sladkih [1.3K]

Answer:

The final ballance will be $1300.37.

Step-by-step explanation:

In this case we have a compounded interest, in order to calculate the final balance we need to use the following formula:

S = P(1 + r/n)^(n*t)

Where S is the final balance, P is the initial investment, r is the rate of interest, t is the time and n is the rate at which it is compounded. Since we have all the values we can directly apply to the formula as follows:

S = 975.52*(1 + 0.0725/4)^(4*4)

S = 975.52*(1.018125)^(16)

S = 975.52*1.333

S = 1300.37

The final ballance will be $1300.37.

4 0
3 years ago
Explain how to correctly find the missing side
kotegsom [21]

Pythagorean Theorem

a² + b² = c²

c = 13

a = 4

(Missing side) = b

4² + b² = 13²

16 + b² = 169

16 - 16

169 - 16 = 153

Square Root of 153 = 12.369

b = 12.369

The missing side is 12.369 (rounded to 12 as a whole number)

6 0
2 years ago
Read 2 more answers
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