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egoroff_w [7]
3 years ago
5

-tan(130°) - tan(75°)/1 + tan(130°)tan(75)​

Mathematics
1 answer:
Stella [2.4K]3 years ago
3 0

Answer:

tan 55°

Step-by-step explanation:

(tan 130° − tan 75°) / (1 + tan 130° tan 75°)

Use angle sum formula to rewrite:

tan (130° − 75°)

tan 55°

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Find the length of YZ
emmainna [20.7K]
Larger triangle’s base length

a^2 + b^2 = c^2
a^2 + 3^2 = 8^2
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Smaller triangle’s base length:

The same formula applies.
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Add the two side lengths of a, which is sqrt(55) + 4 (exact answer)
or... 11.416 (unrounded to thousandths place)

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5 0
3 years ago
Find the value of the following expression (2^8 • 3^-5 • 6^0) write your answer in simplified form show all your steps Help Fast
vitfil [10]
{( {2}^{8} \times {3}^{ - 5} \times {6}^{0} })^{ - 2} \\ = \frac{1}{ {( {2}^{8} \times {3}^{ - 5} \times {6}^{0} })^{2} } \\ = \frac{1}{ {(256 \times \frac{1}{ {3}^{5} } \times 1 })^{2} } \\ = \frac{1}{ {(256 \times \frac{1}{243} \times 1 })^{2} } \\ = \frac{1}{ ({ \frac{256}{243} })^{2} } \\ = \frac{1}{ \frac{ {256}^{2} }{ {243}^{2} } } \\ = \frac{1}{ \frac{65536}{59049} } \\ = \frac{59049}{65536}
The answer is 59049/65539
The value is 0.901
6 0
3 years ago
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