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babymother [125]
3 years ago
12

A rectangular floor of area 21.6 m2 is going to be tiled. Each tile is rectangular, and has an area of 576 cm2. An exact number

of tiles can be put into the space. How many tiles will be needed?
Mathematics
2 answers:
Ludmilka [50]3 years ago
8 0

Answer:

375

Step-by-step explanation:

You want to find a number n which fulfills

21.6 m2 = n * 576 cm2.

Be careful! The units are different on the left and right side of the equation.

If we change to m2 on the right side, than that means we have to divide by 10.000 becaus 1 m2 is equivalent to 10000 cm2.

(1 m2 = 1 m * 1 m = 100 cm * 100 cm = 10000 cm2)

That gives us

21.6 m2 = n * 0.0576 m2

Now divide both sides of the equation by 0.0576 m2 and we get

\frac{21.6}{0.0576} = n

375 = n

saveliy_v [14]3 years ago
7 0

Answer:

Area of floor = 21.6m2

area of tile = 576cm2=0.0576m2

now,

number of tiles = 21.6/0.0576

= 375

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Consider the function f(x)= 2/5x-4
Gre4nikov [31]

Answer: a) \frac{5}{2}x+10=f^{-1}(x)=g(x)

Step-by-step explanation:

Since we have given that

f(x)=\frac{2}{5}x-4

a.) Find the inverse of f(x) and name it g(x).

Let f(x) = y

So, it becomes

y=\frac{2}{5}x-4

Switching x to y , we get

x=\frac{2}{5}y-4

5x=2y-20\\\\5x+20=2y\\\\\frac{5x+20}{2}=y\\\\\frac{5}{2}x+10=y\\\\\frac{5}{2}x+10=f^{-1}(x)=g(x)

b) . Use composition to show that f(x) and g(x) are inverses of each other.

\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x

Similarly,

\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x

so, both are inverses of each other.

c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.


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3 years ago
Help with this question plz I need the answer plz help me plz
olga nikolaevna [1]

Answer:

c

Step-by-step explanation:

45:15=3:1 not 1:3

4 0
2 years ago
Read 2 more answers
Power (denoted by PPP) can be defined as a function of work (denoted by WWW) and time (denoted by ttt) using this formula: P=\df
Amanda [17]

Answer:

\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^3}

Step-by-step explanation:

Power (denoted by P) can be defined as a function of work (denoted by W) and time (denoted by t) using this formula:

P=\dfrac{W}{t}

Unit of Work = \dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^2}

Unit for Time = s

Therefore, the Unit of Power

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An appropriate unit for power is: \dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^3}

3 0
2 years ago
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