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jeyben [28]
2 years ago
15

Determine the number of triangles ABC possible with the given parts. b = 24, c = 29, B = 43°

Mathematics
1 answer:
goldenfox [79]2 years ago
4 0

9514 1404 393

Answer:

  2

Step-by-step explanation:

In general, if the given angle is opposite the <em>shorter</em> of the two given sides, there will be 0 or 2 possible triangles. The attachments show the two possibilities.

__

There will be zero possible triangles if the ratio of sides is less than the sine of the angle. Here, 24/29 ≈ 0.8276, sin(43°) ≈ 0.6820. The ratio of sides is greater, so there are two possible triangles.

If the given angle is opposite the <em>longer</em> of the two given sides, there is one possible triangle. The same is true if the given angle is <em>between</em> the two given sides.

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Find an equation for the nth term of the arithmetic sequence. -15, -6, 3, 12, ...
Mariulka [41]

Answer: t_{n}=-15+9(n-1)

Step-by-step explanation:

The formula for finding the nth term of an arithmetic sequence is given as:

t_{n}=a+(n-1)d

a = first term = -15

d = common difference = -6 - (-15) = 9

n = number of terms

substituting into the formula , we have :

t_{n} = -15+(n-1)9

t_{n}=-15+9(n-1)

5 0
2 years ago
Find the margin of error for a 90% confidence interval when the standard deviation is LaTeX: \sigma= 50????=50 and LaTeX: n = 25
Murrr4er [49]

Answer:

The margin of error  for a 90% confidence interval is 16.4

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 25

Standard deviation = 50

z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64

Margin of error =

z_{critical}\times \dfrac{\sigma}{\sqrt{n}}

Putting the values, we get,

1.64\times \dfrac{50}{\sqrt{25}} = 16.4

Thus, the margin of error  for a 90% confidence interval is 16.4

8 0
3 years ago
Question 6 (4 points)
riadik2000 [5.3K]

Answer:

Interior Angles: 3, 4, 5, 6

Exterior Angles 1, 2, 7, 8

Hope this helps!

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2 years ago
What is the metric unit of a sink
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7 0
3 years ago
Read 2 more answers
Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. How far did Tanya run?
Yuliya22 [10]

Tanya run 50 yards across the diagonal of the rectangular field.

<u>Step-by-step explanation</u>:

Step 1 :

  • Length of the rectangular field = 40 yards
  • width of the rectangular field = 30 yards

Step 2 :

Measure of the diagonal = √(length^2 + width^2 )

Step 3 :

Diagonal = √(40^2 + 30^2 )

               = √(1600 + 900)

               = √2500

               = ±50

Step 4 :

Since distance cannot be negative, The measure of diagonal = 50 yards.

∴ Tanya runs diagonally across a rectangular field is 50 yards.

4 0
2 years ago
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