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enyata [817]
3 years ago
11

I need help with this. Please and thank you! ❤

Mathematics
2 answers:
Flura [38]3 years ago
8 0
5 to the power of 7
Aka 5x5x5x5x5x5x5
Phantasy [73]3 years ago
5 0

Answer

5 to the power of 7

Explanation

Multiply the length by the width. When multiplying numbers with exponents and similar bases, you can just add the exponents. If this doesn't make sense I'll show you.

The length is 5*5*5*5.

The width is 5*5*5.

Multiply this, and you get 5*5*5*5*5*5*5.

This is 5 times itself seven times.

The area of the rectangle is 5 to the power of 7.

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Answer:

c = 10 , d = 26

Step-by-step explanation:

In the rectangular prism, we know the fact that the three faces are mutually perpendicular to each other. So, it has a rectangular base.

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Since it is a rectangle, length , breadth and diagonal from a <em>right angled triangle.</em>

So we have, c² = 6² + 8² = 36 + 64 = 100

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For the side face:

Length = 24 units.

As we can see, the edge of the side face is perpendicular to the base of the prism. Which means, any line on the base of the prism is perpendicular to the 24units side edge.

So we can say that , the diagonal of the rectangular base of the prism (c) is perpendicular to the 24 units side face edge.

Hence, 24 , d and c (which is 10units) form a <em>right angled triangle</em>

<em> </em>From <em>pythagoras theorem:</em>

   d² = 24² + 10² = 576 + 100 = 676

⇒ d = 26 units

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