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Svetlanka [38]
3 years ago
13

The two boxes shown are cuboids.

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
5 0

Answer:

250 smaller cuboids

Step-by-step explanation:

Given

Small and Big cuboids

Required

Number of smaller cuboids in the big one

To do this, we calculate the volume of both cuboids.

Volume = Length * Width * Height

For the small cuboid

V_1 = 10cm * 3cm * 4cm

V_1 = 120cm^3

For the big cuboid

V_2 = 50cm * 30cm * 20cm

V_2 = 30000cm^3

The number of small in big is then calculated by diving the volumes

Number = \frac{V_2}{V_1}

Number = \frac{30000cm^3}{120cm^3}

Number = \frac{30000}{120}

Number = 250

Hence, there are 250 small cuboids in the large one

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3 years ago
Find all solutions to the equation in the interval [0, 2īt).<br> 4) sin 2x = -sin x
Sonbull [250]

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x={0, 2pi/3, pi, 4pi/3}

Step-by-step explanation:

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What is the argument of -5\sqrt{3}+ 5i?
Shtirlitz [24]

Answer:

150 degrees

Step-by-step explanation:

Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.

So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length 5\sqrt{3}. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.

Let's find the complementary angle.

So the opposite side of the complementary angle is 5.

The adjacent side of the complementary angle is 5\sqrt{3}.

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3 years ago
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