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Debora [2.8K]
3 years ago
15

If csc x° = five fourths, what is the value of b? triangle LMN in which angle M measures 90 degrees, angle L measures x degrees,

LN measures 22.5 units, and NM measures 3b units b = 4 b = 5 b = 6 b = 7

Mathematics
1 answer:
Allushta [10]3 years ago
5 0

Answer:

b=6

Step-by-step explanation:

csc(x°) = LN/NM

5/4 = 22.5/(3b)

b = 22.5·4/(5·3)

b  = 6

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Find the exact length of the third side.<br> 48<br> 14
Dima020 [189]

Answer:118

Step-by-step explanation:

It has to equal 180 degrees in total so 48+14=62

180-62=118

So the answer is 118

7 0
3 years ago
To avoid detection at customs, a traveler has placed 6 narcotic tablets in an Urn containing 9 vitamin pills that are similar in
Alexus [3.1K]

Answer:

\frac{4}{91}

Step-by-step explanation:  

We are told that to avoid detection at customs, a traveler has placed 6 narcotic tablets in an Urn containing 9 vitamin pills that are similar in appearance.

To find the probability that the traveler will be arrested for illegal possession of narcotics we will use theoretical probability formula.

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Number of possible outcomes}}

Favorable outcomes will be _{3}^{6}\textrm{C}.

\text{Favorable outcomes}=_{3}^{6}\textrm{C}=\frac{6!}{(6-3)!3!}

\text{Favorable outcomes}=\frac{6!}{3!3!}

\text{Favorable outcomes}=\frac{6\cdot 5\cdot 4\cdot3!}{3\cdot 2\cdot 1\cdot3!}

\text{Favorable outcomes}=\frac{6\cdot 5\cdot 4}{3\cdot 2}

\text{Favorable outcomes}=5\cdot 4=20

Now let us find number of possible outcomes.

\text{Number of possible outcomes}=_{3}^{15}\textrm{C}=\frac{15!}{(15-3)!3!}

\text{Number of possible outcomes}=\frac{15!}{12!3!}

\text{Number of possible outcomes}=\frac{15\cdot 14\cdot 13\cdot 12!}{12!\cdot 3\cdot 2\cdot 1}

\text{Number of possible outcomes}=\frac{15\cdot 14\cdot 13}{ 3\cdot 2\cdot 1}

\text{Number of possible outcomes}=5\cdot 7\cdot 13=455

Upon substituting our values in probability formula we will get,

\text{Probability that the traveler will be arrested for illegal possession of narcotics}=\frac{20}{455}

Upon dividing numerator and denominator by 5 we will get,

\text{Probability that the traveler will be arrested for illegal possession of narcotics}=\frac{4}{91}

Therefore, the probability that the traveler will be arrested for illegal possession of narcotics is \frac{4}{91}.  


6 0
3 years ago
Show how you got the answer.. It is NOT B... THIS IS URGENT ANSWER FAST PLZ
Alborosie

Answer:

it doesn't make any sense the answer is supposed to be b

Step-by-step explanation:

4 0
2 years ago
Expand and combine like terms.<br><br> (2x4 + 32°) (224 – 3.2%)
Charra [1.4K]

Answer:

This can be wrong but somehow I got 2015.712

Step-by-step explanation:

Maybe wait for another answer tho, I can be wrong.

4 0
2 years ago
Ravi made 6 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 6 necklaces w
mart [117]

Answer: $ 2.20

Step-by-step explanation: 31.80-18.60= 13.20

13.20 divided by 6= 2.20

——————-

2.20 x 6= 13.2

13.20+ 18.60= 31.80

4 0
3 years ago
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