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serious [3.7K]
3 years ago
12

What is the length of a diagonal of a cube with a side length of 10 cm? 200 cm 210cm 300 cm 320cm

Mathematics
2 answers:
Andrej [43]3 years ago
8 0

Answer:

its c on endeguity

Step-by-step explanation:

Scilla [17]3 years ago
7 0

Answer:

The length of the diagonal of the cube = √(3 × 10²) = √300 cm

Step-by-step explanation:

* Lets revise the properties of the cube

- It has six equal faces all of them are squares

- It has 12 vertices

- The diagonal of the cube is the line joining two vertices in opposite

 faces (look to the attached figure)

- To find the length of the diagonal do that:

# Find the diagonal of the base using Pythagoras theorem

∵ The length of the side of the cube is L

∵ The base is a square

∴ The length of the diagonal d = √(L² + L²) = √(2L²)

- Now use the diagonal of the base and a side of a side face to find the

 diagonal of the cube by Pythagoras theorem

∵ d = √(2L²)

∵ The length of the side of the square = L

∴ The length of the diagonal of the cube = √[d² + L²]

∵ d² = [√(2L²)]² = 2L² ⇒ power 2 canceled the square root

∴ The length of the diagonal of the cube = √[2L² + L²] = √(3L²)

* Now lets solve the problem

∵ The length of the side of the square = 10 cm

∴ The length of the diagonal of the cube = √(3 × 10²) = √300 cm

- Note: you can find the length of the diagonal of any cube using

 this rule Diagonal = √(3L²)

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The exterior angle of a regular polygon is 36º.<br> How many sides does the polygon have?
Mrac [35]

Answer:

10

Step-by-step explanation:

The sum of the measures of the exterior angles in a convex polygon is 360°. And each exterior angle measure 36 degrees so Number of side will be 10.

3 0
2 years ago
O A box contains 40 oranges, 12 of which are
konstantin123 [22]

Step-by-step explanation:

Nø of sample space, n(s) = 40

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Now

The probability that it is ripe is, P(E)

= n(r) / n(s)

= 28 / 40

= 7 / 10

Also the probability that it is unripe is, P(E)

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Hope it will help :)❤

5 0
2 years ago
If 5 x 5=X and 5 x Y=Y but X is not equal to Y but X times Y equals Y than what is X and what is Y
lukranit [14]

Answer:

x=0 y=1

Step-by-step explanation:

if x equals 0 then itll automatically bew diferent

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3 years ago
Which expression is equivalent to (2x to 4 y) 3 exponent?
nirvana33 [79]
I’m pretty sure it’s b
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3 years ago
17. What are the three angle measures in the triangle shown below?
lianna [129]

Answer:

Option (1)

Step-by-step explanation:

By using triangle sum theorem in the given triangle,

(5x - 7)° + (11x - 4)° + (3x + 1)° = 180°

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x = 10

Therefore, (3x + 1)° = 30 + 1

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4 0
3 years ago
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