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cestrela7 [59]
4 years ago
11

1. Determine the lateral and total surface

Mathematics
1 answer:
Alenkinab [10]4 years ago
8 0

Answer:

  • Laterial surface area: 73 cm²
  • Total surface area: 93 cm²

Step-by-step explanation:

The laterial surface area is the sum of the areas of the triangles. There are two triangles with dimensions: base = 4 cm, height = 8cm and two triangles with dimensions: base = 5cm, height = 8.2cm.

The laterial surface area LSA is:

LSA = 2 • ( 4.8/2) + 2 • ( 5 • 8.2/2)

LSA = 4 • 8 + 5 • 8.2

LSA = 73 cm²

The total surface area SA is the LSA plus the area of the base of the pyramid, which is a rectangle with dimensions: 4cm x 5cm:

<em>SA</em><em> </em><em>=</em><em> </em><em>LSA</em><em> </em><em>+</em><em> </em><em>4</em><em> </em><em>•</em><em> </em><em>5</em>

<em>SA</em><em> </em><em>=</em><em> </em><em>73</em><em> </em><em>cm</em><em> </em><em>+</em><em> </em><em>2</em><em>0</em><em> </em><em>cm</em><em>²</em>

<em>SA</em><em> </em><em>=</em><em> </em><em>9</em><em>3</em><em> </em><em>cm</em><em>²</em>

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Answer:

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Rachel finished 3/4 of the race in 6 hours. How long was the entire race?
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Answer:

180=2^2×3^2×5

Step-by-step explanation:

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For example 5 only has 2 factors 1 and 5⇒5=1×5

Here are the first few prime numbers

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Ex 5.5
victus00 [196]
;
2 × 5 × sin( π / 12 ) = 10 × sin ( π / 12 ) ;

π/12 = ( 180° ) / 12 = 15°. 
<span>
But,  sin ( π/12 ) </span>

<span>= sin 15° </span>

<span>= sin ( 45° - 30°) </span>

<span>= sin 45°· cos 30° - cos 45°· sin 30° </span>

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