Answer: The correct option is triangle GDC
Step-by-step explanation: Please refer to the picture attached for further details.
The dimensions give for the cube are such that the top surface has vertices GBCF while the bottom surface has vertices HADE.
A right angle can be formed in quite a number of ways since the cube has right angles on all six surfaces. However the question states that the diagonal that forms the right angle runs "through the interior."
Therefore option 1 is not correct since the diagonal formed in triangle BDH passes through two surfaces. Triangle DCB is also formed with its diagonal passing only along one of the surfaces. Triangle GHE is also formed with its diagonal running through one of the surfaces.
However, triangle GDC is formed with its diagonal passing through the interior as shown by the "zigzag" line from point G to point D. And then you have another line running from vertex D to vertex C.
The value of AD in triangle ABC is approximately 9 cm.
BC = 6cm
Using trigonometric ratio for triangle CBD
sin 60° = opposite / hypotenuse
0.86602540378 = DC / 6
cross multiply
DC = 6 × 0.86602540378
DC = 5.19615242271
DC = 5.20 cm
Let's find side AD as follows:
tan 60° = AD / adjacent
AD = 5.20 × tan 60°
AD = 9.00666419936
AD ≈ 9 cm
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In money form there can’t be more than two decimal places so it’s $24,411.41
Step-by-step explanation:
by considering how many inches (") are in one foot (').
the answer is 12. there are 12 in in every ft.
so, now we can convert everything to the smallest scale (inches) and do the calculation based on inches :
(8×12 + 4) - (2×12 + 6) = 96 + 4 - 24 - 6 = 100 - 30 = 70"
and now to translate 70" back into ft and in :
70/12 = 5 with a remainder of 10
70" = 5' 10"
Semiannually means two.
so add 24.45 + 24.45
the answer would be A) 48.90%