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wolverine [178]
2 years ago
13

20 points!!!!!!!

Mathematics
1 answer:
castortr0y [4]2 years ago
4 0
See the attached figure to better understand the problem
let
L-----> length side of the cuboid
W----> width side of the cuboid
H----> height of the cuboid

we know that
One edge of the cuboid has length 2 cm----->  <span>I'll assume it's L
so
L=2 cm
[volume of a cuboid]=L*W*H-----> 2*W*H
40=2*W*H------> 20=W*H-------> H=20/W------> equation 1

[surface area of a cuboid]=2*[L*W+L*H+W*H]----->2*[2*W+2*H+W*H]

100=</span>2*[2*W+2*H+W*H]---> 50=2*W+2*H+W*H-----> equation 2
substitute 1 in 2
50=2*W+2*[20/W]+W*[20/W]----> 50=2w+(40/W)+20
multiply by W all expresion
50W=2W²+40+20W------> 2W²-30W+40=0

using a graph tool------> to resolve the second order equation
see the attached figure

the solutions are
13.52 cm x 1.48 cm
so the dimensions of the cuboid are
2 cm x 13.52 cm x 1.48 cm
or
2 cm x 1.48 cm x 13.52 cm

<span>Find the length of a diagonal of the cuboid
</span>diagonal=√[(W²+L²+H²)]------> √[(1.48²+2²+13.52²)]-----> 13.75 cm

the answer is
 the length of a diagonal of the cuboid is 13.75 cm



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Alex17521 [72]

The length of the side BC is 6√3 inches

Step-by-step explanation:

Let us revise the sine rule

In Δ XYZ

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In Δ ABC

∵ m∠A = 60°

∵ m∠C = 30°

∵ AB = 6 inches

- By using the sine rule

∵ AB is opposite to ∠C

∵ BC is opposite to ∠A

∵  \frac{AB}{sin(C)}=\frac{BC}{sin(A)}

∴ \frac{6}{sin(30)}=\frac{BC}{sin(60)}

- By using cross multiplication

∴ BC × sin(30) = 6 × sin(60)

∵ sin(30) = \frac{1}{2}  and sin(60) = \frac{\sqrt{3}}{2}

∴ \frac{1}{2} BC = 6( \frac{\sqrt{3}}{2} )

∴ \frac{1}{2} BC = 3\sqrt{3}

- Multiply both sides by 2

∴ BC = 6√3

The length of the side BC is 6√3 inches

Learn more:

You can learn more about the triangles in brainly.com/question/1238144

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

7/20= 35% .  7 divided by 20 equals .35

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torisob [31]

Answer:

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Step-by-step explanation:

Begin with substuting the x variable with -2, we do this because the question has listed the value of x already.

Using the value of x, -2 we determine g(x).

g(x) = -2^2 + 2

Above is what the equation would look as, after you input the value of -2.

Using pemdas, (parantheses, exponents, multiplication, division, addition, subtraction) solve the equation.

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