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Vikentia [17]
3 years ago
9

Solving a right triangle (round to the nearest tenth)

Mathematics
1 answer:
Inga [223]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for A

A = 180° - (90 + 46)° = 180° - 136° = 44°

----------------------------------------------------------------

tan46° = \frac{opposite}{adjacent} = \frac{b}{23}

Multiply both sides by 23

23 × tan46° = b, thus

b ≈ 23.8 ( to the nearest tenth )

-----------------------------------------------------------------

cos46° = \frac{adjacent}{hypotenuse} = \frac{23}{c}

Multiply both sides by c

c × cos46° = 23 ( divide both sides by cos46° )

c = \frac{23}{cos46} ≈ 33.1 ( to the nearest tenth )

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Students in a class are asked to stand in ascending order according to their heights for the annual class photograph. Determine
horrorfan [7]

Answer:

The function in Python is as follows:

def heightChecker(heights):

   expected = []

   count = 0

   for i in range(len(heights)):

       expected.append(heights[i])      

   expected.sort()

   for i in range(len(heights)):

       if expected[i] != heights[i]:

           count+=1  

   return count

Step-by-step explanation:

Required

Function to return the number of out of position students

<em>See comment for complete question</em>

This defines the function. It receives the heights as a parameter, from the main

def heightChecker(heights):

This initializes a list, (expected list)

   expected = []

This initializes the count of out of position students

   count = 0

This iterates through the original list

   for i in range(len(heights)):

The list item is then appended to the expected list

       expected.append(heights[i])      

This sorts the expected list in ascending order

   expected.sort()

This iterates through the original and the expected lists

   for i in range(len(heights)):

If list elements at the same index are not the same, count is incremented by 1

<em>        if expected[i] != heights[i]: </em>

<em>            count+=1  </em>

This returns count

   return count

4 0
3 years ago
What polynomial has roots 3, 7, and −2?<br><br> What polynomial has roots 2, 4i, and −4i?
Gnoma [55]
Hope this can help you.

4 0
3 years ago
Write an equation in point slope form for the line that passes through one of the following pairs of points. You may choose the
wolverine [178]
(5,1)(-3,4)
slope = (4 - 1) / (-3 - 5) = -3/8

y - y1 = m(x - x1)
slope(m) = -3/8
(5,1)...x1 = 5 and y1 = 1
now we sub
y - 1 = -3/8(x - 5) <=== point slope form

y - 1 = -3/8(x - 5)
y - 1 = -3/8x + 15/8
y  = -3/8x + 15/8 + 1
y = -3/8x + 15/8 + 8/8
y = -3/8x + 23/8 <=== slope intercept form

y = -3/8x + 23/8
3/8x + y = 23/8 ...multiply everything by 8
3x + 8y = 23 <==== standard form
3 0
4 years ago
Round 578.683 m 47.3333 kg and 789.5cm to four significant figures
Pani-rosa [81]

Answer: 578.7 m 47.33 kg. 789.5 cm

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6 0
3 years ago
In a sample of 100 steel canisters, the mean wall thickness was 8.1 mm with a standard deviation of 0.5 mm. Someone says that th
Travka [436]

Answer:

This statement can be made with a level of confidence of 97.72%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.1 mm

Standard Deviation, σ = 0.5 mm

Sample size, n = 100

We are given that the distribution of thickness is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling:

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.5}{\sqrt{100}} = 0.05

P(mean thickness is less than 8.2 mm)

P(x < 8.2)

P( x < 8.2)\\\\ = P( z < \displaystyle\frac{8.2 - 8.1}{0.05})\\\\ = P(z < 2)

Calculation the value from standard normal z table, we have,  

P(x < 8.2) =0.9772 = 97.72\%

This statement can be made with a level of confidence of 97.72%.

8 0
4 years ago
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