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mars1129 [50]
3 years ago
15

In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10

th of a square inch?
Mathematics
1 answer:
DochEvi [55]3 years ago
7 0

9514 1404 393

Answer:

  55,637.8 square inches

Step-by-step explanation:

We can find side n using the Law of Sines:

  n/sin(N) = p/sin(P)

  n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)

  n ≈ 542.246913 . . . . inches

The angle O is ...

  O = 180° -N -P = 180° -64° -96° = 20°

Then the area is ...

  A = 1/2·np·sin(O)

  A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²

The area of ∆NOP is about 55,637.8 in².

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And yes, can all points have positive probability of occurring, but besides you medium value (the bell for example) you will see an asintotic decrease to the zero.

3 0
2 years ago
Which of the following values are solutions to the inequality 10+ x > 7?
Tanzania [10]

Answer:

II

Step-by-step explanation:

All the other options create a number that is smaller than 7, while the inequality suggests otherwise.

While, II create the number 9 - which is indeed bigger then 7

Glad to help ÷)

7 0
3 years ago
Which of the following is the vertical asymptote for the graph below?
forsale [732]

Answer:

C

Step-by-step explanation:

Vertical asymptotes are always in the form x = ?

If you look at the dotted line, it lands on 2.  Because it's a vertical line, the asymptote is going to be x = 2

4 0
2 years ago
A rock concert promoter scheduled an outdoor concert on July 4th. If it does not rain, the promoter will make $30,427. If it doe
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For the probability of rain on julty 4h of 0.5 his expected profit is  8885.5 dollars.

<h3>What is probability?</h3>

The probability is occurrence of a certain event out of the total number f events that can happen.

Given in the question the probability of rain is 0.5 therefore the probability of not raining is also 0.5.

If it does not rain he makes a profit of 30427 dollars and if it rains he suffers a loss of 12656 dollars.

We know, the expected profit is,

= 0.5(30427) - 0.5(12656).

= 15213.5 - 6328.

= 8885.5 dollars.

learn more about probability here :

brainly.com/question/11234923

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1 year ago
Please help need it due now!!!
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