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3 years ago

Find the surface area of the composite solid.

Mathematics

1 answer:

kicyunya [14]3 years ago

6 0

Area of the bottom triangle = 1/2 x 10 x 8.7 = 43.5 cm²

Area of the 3 rectangles = 3(10 x 6) = 180 cm²

Area of the top triangle = 3 (1/2 x10 x 4) = 60 cm²

Total surface are = 43.5 + 180 + 60 = 283.5 cm²

Answer: 283.5 cm²

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A blue die and a red die are thrown. B is the event that the blue comes up with a 6. E is the event that both dice come up even.

iVinArrow [24]

Answer:

Size of |E n B| = 2

Size of |B| = 1

Step-by-step explanation:

I'll assume both die are 6 sides

Given

Blue die and Red Die

Required

Sizes of sets

- $|E\ n\ B|$

- $|B|$

The question stated the following;

B = Event that blue die comes up with 6

E = Event that both dice come even

So first; we'll list out the sample space of both events

$B = \{6\}$

$E = \{2,4,6\}$

Calculating the size of |E n B|

$|E n B| = \{2,4,6\}\ n\ \{6\}$

$|E n B| = \{2,4,6\}$

The size = 3 because it contains 3 possible outcomes

Calculating the size of |B|

$B = \{6\}$

The size = 1 because it contains 1 possible outcome

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