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3 years ago

I would like to know what is 4x2/3

Mathematics

1 answer:

vova2212 [387]3 years ago

8 0

Answer: 2.6

Step-by-step explanation:

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10m3 of air weigh 13 kg. Chapter Reference c How much does the air weigh in a room 4.2m long, 3.5m wide, and 2.6m high?

Zarrin [17]

Answer:

The air weight in a room is 49.69 kg.

Step-by-step explanation:

It is given that the room is 4.2m long, 3.5m wide, and 2.6m high. It is also given that 10 m³ of air weigh 13 kg.

The formula to find the volume of cuboid is,

$V=l\times b\times h$

$V=4.2\times 3.5\times 2.6$

$V=38.22$

The volume of room is 38.22 m³.

Since it is given that, 10 m³ of air weigh 13 kg. So,

$1 m^3=\frac{13}{10}kg$

$1 m^3=1.3kg$

So the air weight in the room is,

$\text{Air weight}=1.3\times 38.22$

$\text{Air weight}=49.686\approx 49.69$

Therefore the air weight in a room is 49.69 kg.

5 0

3 years ago

In ΔKLM, m = 160 cm, ∠M=145° and ∠K=28°. Find the length of l, to the nearest 10th of a centimeter.

Montano1993 [528]

Answer:

34.0 m

Step-by-step explanation:

The total angle sum in a triangle should be 180° hence the missing angle will be given by

180°-145°-28°=7°

Using sine rule

$\frac {m}{sin M}=\frac {l}{sin L}=\frac {k}{sin K}$

By substituting 160 for m, 145° for M and 7° for L then

$\frac {160}{sin 145^{\circ}}=\frac {l}{sin 7^{\circ}}$

Making l the subject then

$l=\frac {160 sin 7^{\circ}}{sin 145^{\circ}}=33.9956345990643m\\l\approx 34.0m$

3 0

3 years ago

If ab = 9 and a² + b² = 81, then (a+b)² = ?

Andre45 [30]

Answer:

Step-by-step explanation:

Through some clever algebra, we can combine our first two equations using the fact that

$(a+b)^2=a^2+2ab+b^2$

We have the a² and the b² in the equation $a^2+b^2=81$ , and we <em>almost </em>have a 2ab in the equation $ab=9$ . To get that 2ab, we can simply double both sides of the first equation to get $2ab=18$ . From there, we'll add the first two equations together, giving us the summed equation