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agasfer [191]
2 years ago
10

Need help please! A=?

Mathematics
1 answer:
zubka84 [21]2 years ago
7 0

Answer:

  m∠A ≈ 103°

Step-by-step explanation:

Enough information is shown for us to be able to use the Law of Sines to find the angle. That tells us ...

  sin(A)/a = sin(C)/c

  A = arcsin(a/c·sin(C)) = arcsin(26/6·sin(13°)) = arcsin(0.974788)

  A = 77.1° or 102.9°

The claim is that the figure is drawn to scale, so we can assume that A is an obtuse angle:

  m∠A ≈ 103°

__

<em>Additional comment</em>

The sum of angles A and B must be 180° -13° = 167°. Since angle A is the largest, it must be more than half this value, or more than 83.5°. That means, we must choose the obtuse angle for A, rather than the acute angle.

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The radio station gave away a discount coupon for every twelfth and thirteenth caller. Every twentieth caller received free conc
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Answer:

60th caller.

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3 years ago
Slips of paper numbered 1 to 15 are placed in a box. A slip of paper is drawn at random. What is the probability that the number
monitta

Given:

Slips of paper numbered 1 to 15 are placed in a box.

To find:

The probability that the number picked is either a multiple of 5 or an odd number.

Solution:

We have,

Total outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

No. of total outcomes = 15

Multiple of 5 are 5, 10, 15.

Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15.

Number that are either a multiple of 5 or an odd number are 1, 3, 5, 7, 9, 10, 11, 13, 15.

No. of favorable outcomes = 9

We know that,

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

\text{Probability}=\dfrac{9}{15}

\text{Probability}=\dfrac{3}{5}

\text{Probability}=0.6

Therefore, the  probability that the number picked is either a multiple of 5 or an odd number is 0.6.

8 0
2 years ago
A train is traveling at 60 mph. If the rate of speed increases 4 mph each hour,
Alenkasestr [34]

Answer:

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Step-by-step explanation:

First, find the amount of mph between 60 and 80:

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= 20 mph

Since the speed increases 4 mph per hour, we can find how long it will take to get to 80 mph by dividing 20 by 4:

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= 5

So, the correct answer is B, 5 hours

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Step-by-step explanation:

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