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rosijanka [135]
3 years ago
9

Do the rays BA and AB define the same ray? In complete sentences, explain why the two rays are the same or why the two rays are

not the same.
Mathematics
1 answer:
Deffense [45]3 years ago
7 0
Rays are named according to their endpoints, the first one named is the "starting" endpoint, the second one is the one that will continue on into infinity.  Therefore, ray BA has a terminal endpoint at B and goes through point A into infinity.  Ray AB has a terminal endpoint at A and goes through point B into infinity.  Definitely NOT the same ray. 
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What is the lateral area of a regular square pyramid if the base edges are of length 24 and perpendicular height is 5?
iren2701 [21]

Answer:

The lateral area is 624 unit²

Step-by-step explanation:

* Lets explain how to solve the problem

- The regular square pyramid has a square base and four congruent

 triangles

- The slant height of it = \sqrt{(\frac{1}{2}b)^{2}+h^{2}}, where

  b is the length of its base and h is the perpendicular height

- Its lateral area = \frac{1}{2}.p.l, p is the perimeter of the base

 and l is the slant height

* Lets solve the problem

∵ The base of the pyramid is a square with side length 24 units

∵ Its perpendicular height is 5 units

∵ The slant height (l) = \sqrt{(\frac{1}{2}b)^{2}+h^{2}}

∴ l = The slant height of it = \sqrt{(\frac{1}{2}.24)^{2}+5^{2}}

∴ l = \sqrt{(12)^{2}+25}=\sqrt{144+25}=\sqrt{169}=13

∴ l = 13 units

∵ Perimeter of the square = b × 4

∴ The perimeter of the base (p) = 24 × 4 = 96 units

∵ The lateral area = \frac{1}{2}.p.l

∴ The lateral area = \frac{1}{2}.(96).(13)

∴ The lateral area = 624 unit²

* The lateral area is 624 unit²

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6 0
3 years ago
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