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musickatia [10]
3 years ago
11

In triangle ABC, angle C is a right angle. Find the value of the trig function indicated. Find tan A if c = 17 and a = 8

Mathematics
2 answers:
BaLLatris [955]3 years ago
5 0

Answer:

tan A= 8/15

Step-by-step explanation:

  1. draw triangle where A and B are legs and C is hypotenuse
  2. A=8 and C=17, meaning that you need to find B by using Pythagorean theorem (a^2+b^2=c^2)
  3.                8^2+b^2=17^2
  4.                 64+b^2=289
  5.                     b^2=225

   6.                    \sqrt{b^2} =\sqrt{225}

   7.                         b=15

   8. tan= opposite/adjacent

   9. tan A=8/15

Sati [7]3 years ago
3 0

Answer:

Step-by-step explanation:

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Prove that 25^11−5^19 is divisible by 31.
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Answer:

Divisible by 3 is the answer

Step-by-step explanation:

First get everything to have the same base of 5

25^11 - 5^19

(5^2)^11 - 5^19

5^(2*11) - 5^19

5^22 - 5^19

Now factor out the GCF 5^19 to get

5^22 - 5^19

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5^19*5^3 - 5^19*5^0

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5^19(125 - 1)

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At this point, we factor the 124 into 31*4 to end up with this full factorization: 5^19*31*4

Therefore, 25^11 - 5^19 is equivalent to 5^19*31*4

Since 31 is a factor of the original expression, this means the original expression is divisible by 31.

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