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3 years ago

The sides of a rectangular room are perpendicular to each other.

Mathematics

1 answer:

stiv31 [10]3 years ago

5 0

Answer:

120 m^2

Step-by-step explanation:

Length of the room = 10 m

Breadth of the room = 12 m

We know that, Area = Length * Breadth

Hence,

Total Area of carpet needed to cover the floor of the room = 12 * 10 = 120 m^2

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Expand . ( 3x –2 ) 2 please help me with this.

Ainat [17]

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Answer: $\textsf{9x}^2\textsf{ - 12x + 4}$

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Given: $\textsf{(3x - 2)}^2$

Find: $\textsf{Simplify the expression}$

Solution: It looks like 2 is at the end of the parenthesis where the power would be instead of distributing the number. If so the following steps would be followed.

<u>Expand</u>

$\textsf{(3x - 2)}^2$

$\textsf{(3x - 2)(3x - 2)}$

$\textsf{(3x * 3x) + (3x * (-2)) + (3x * (-2)) + (-2 * (-2))}$

<u>Simplify</u>

$\textsf{9x}^2\textsf{ - 6x - 6x + 4}$

$\textsf{9x}^2\textsf{ - 12x + 4}$

Therefore, after following the provided information we are able to determine that the expanded form would be 9x^2 - 12x + 4.

3 0

2 years ago

Read 2 more answers

Please help.... fast

Aneli [31]

Step-by-step explanation:

please mark me as brainlest

6 0

3 years ago

Martinus Kupier set a record when he ice skated for 24 h at an average of 14.2 mph. How far did he skate?

kow [346]

Martinus Kupier skate a distance of 340.8 miles, at an avarage of 14.2 mph for 24 hours

Step-by-step explanation:

The given is,

Martinus Kupier skated for 24 hours at an average rate of 14.2 mph

Step:1

From the given the time and average rate is obtained,

Time = 24 hours

average rate = 14.2 mph

Step:2

To find the total length of skated at 24 hours

Length = Average rate × Time

= 14.2 × 24

= 340.8

Length = 340.8 miles

Result:

Martinus Kupier skated a distance of 340.8 miles at an average rate of 14.2 mph for 24 hours.

5 0

3 years ago

Simplify 81p6q2÷3p2q5 HELPPP

goldfiish [28.3K]

Answer:

$\displaystyle \frac{81\, p^{6}\, q^{2}}{3\, p^{2} \, q^{5}} = \frac{27\, p^{4}}{q^{3}}$ .

Step-by-step explanation:

Make use of the fact that for any $x \ne 0$ and integer $n$ :

$\displaystyle \frac{1}{x^{n}} = x^{-n}$ .

For example, in this question:

$\displaystyle \frac{1}{p^{2}} = p^{-2}$ .

$\displaystyle \frac{1}{q^{5}} = q^{-5}$ .

Thus, the original expression would be equivalent to:

$\begin{aligned}& \frac{81\, p^{6}\, q^{2}}{3\, p^{2} \, q^{5}} \\ =\; & \frac{81}{3}\, (p^{6}\, p^{-2})\, (q^{2}\, q^{-5}) \\ =\; & 27\, (p^{6}\, p^{-2})\, (q^{2}\, q^{-5})\end{aligned}$ .

Also make use of the fact that for any $x \ne 0$ , integer $m$ , and integer $n$ :

$x^{m}\, x^{n} = x^{m + n}$ .

Thus:

$\begin{aligned}& 27\, (p^{6}\, p^{-2})\, (q^{2}\, q^{-5}) \\=\; & 27\, p^{6 + (-2)}\, q^{2 + (-5)} \\ =\; & 27\, p^{4}\, q^{-3} \\ =\; & \frac{27\, p^{4}}{q^{3}}\end{aligned}$ .

3 0

2 years ago

FOR A TEST!

JulijaS [17]

Answer:

the answer is 14.7 in

Step-by-step explanation:

3 0

3 years ago

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