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Rudiy27
3 years ago
6

Given the triangle below, which of the following is a correct statement? Right triangle ABC with AB measuring 5, AC measuring 6,

and BC measuring 8. cot angle B equals 6 over 5 csc angle C equals 3 over 4 cot angle C equals 8 over 5 csc angle B equals 4 over 3
Mathematics
1 answer:
Elanso [62]3 years ago
6 0
Drawing a diagram to match this figure, BC would have to be the hypotenuse as it is the longest side of the triangle.  Angle A would have to be the right angle.  
For the first choice, \cot B = \frac{1}{ \tan B} 
\\ = \frac {1}{\frac {6}{5}}
\\ = 1 \div \frac{6}{5} = \frac{1}{1} \div \frac{6}{5}
\\ = \frac{1}{1} * \frac{5}{6} = \frac{5}{6}.  The first choice is not correct.
The second choice gives us \csc C= \frac{1}{ \sin C}= \frac{1}{\frac {5}{8}}
\\ = 1 \div \frac{5}{8} = \frac{1}{1} \div \frac{5}{8}
\\ = \frac{1}{1} * \frac{8}{5} = \frac{8}{5}.  The second choice is not correct either.
The third choice gives us 
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Answer:

The remainder is 1

Step-by-step explanation:

Given the Fibonacci sequence

F_1 = F_2 = 1, and

F_(n + 2) = F_(n + 1) + F_n

We want to find the remainder when F_(1999) is divided by 5.

Let us write the first 20 numbers of the sequence in (mod 5). They are

F_1 = 1,

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F_4 = 3,

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F_6 = 3,

F_7 = 3,

F_8 = 1

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F_(12) = 4

F_(13) = 3

F_(14) = 2

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F_(16) = 2

F_(17) = 2

F_(18) = 4

F_(19) = 1

F_(20) = 0

We have: 1, 1, 2, 3, 0, 3, 3, 1, 4, 0, 4, 4, 3, 2, 0, 2, 2, 4, 1, 0

Now, 1999 = 19(mod 20)

The 19th number in the sequence is 1.

So, the remainder is 1.

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2 years ago
EZ QUESTION BUT I DUMB: Mrs Raj Bought 10 pizzas for a party. Each child at tje party recieved 1/5 of a pizza. how many children
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c

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In a coffee shop, cups of coffee cost 2$ and muffins cost 3$. The maximum amount that you can spend is $18. The equation that re
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