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3 years ago

The diagram shows a 3 cm x 5 cm x 4 cm cuboid.

Mathematics

1 answer:

kogti [31]3 years ago

3 0

Answer:

a) 5.83 cm

b) 34.4 deg

Step-by-step explanation:

AC is the hypotenuse of a right triangle with legs measuring 3 cm and 5 cm.

c^2 = a^2 + b^2

c^2 = 3^2 + 5^2

c^2 = 9 + 25

c^2 = 34

c = sqrt(34) cm = 5.83 cm

Triangle ACD is a right triangle with right angle DAC.

AD = 4 cm

AC = 5.83 cm

tan <ACD = opp/adj

tan <ACD = AD/AC

tan <ACD = 4/5.83

m<ACD = tan^-1 (0.68599)

m<ACD = 34.4 deg

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3 years ago

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Answer:

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Step-by-step explanation:

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For $x=0$

This implies that:

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So, we have:

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The possible outcomes are:
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$4,1~~4,2~~4,3~~4,4~~4,5~~4,6$
$5,1~~5,2~~5,3~~5,4~~5,5~~5,6$
$6,1~~6,2~~6,3~~6,4~~6,5~~6,6$

The possible products are:
$1~~2~~3~~4~~5~~6$
$2~~4~~6~~8~~10~~12$
$3~~6~~9~~12~~15~~18$
$4~~8~~12~~16~~20~~24$
$5~~10~~15~~20~~25~~30$
$6~~12~~18~~24~~30~~36$

a) There are 36 outcomes.

b) 5/36 * 180 = 25

c) 6/36 * 180 = 30

d) 16/36 * 180 = 80

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