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Cerrena [4.2K]
3 years ago
7

A triangular playground has angles with measures in the ratio 8:3:9. What is the measure of the smallest angle? I need an explan

ation as well as amy answer
Mathematics
1 answer:
frozen [14]3 years ago
4 0

Answer:

Measure of smallest angle will be 27 degrees.

Step-by-step explanation:

We are told that a triangular playground has angles with measures in the ratio 8:3:9 and we are asked to find out measure of smallest angle.

Since we know by the angle sum property that angles in a triangle add up to 180 degrees.

We can set an equation from our given ratio as:

8x+3x+9x=180^{o}

20x=180

x=\frac{180}{20}

x=9

Now we will find measure of our smallest angle by multiplying 3 by 9 as 3x will be smallest angle of our triangle.

3*9=27

Therefore, measure of the smallest angle will be 27 degrees.

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42

Step-by-step explanation:

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x² = r² sin² θ cos² Ф

y = r sin θ sin Ф

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3 years ago
What is 40+1000+50000=
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This question is incomplete, in that the Excel File: data07-11.xlsx a. was not provided, but I was able to get the information on the Excel File: data07-11.xlsx a. from google as below:

57 61 86 74 72 73

20 57 80 79 83 74

The image of the Excel File: data07-11.xlsx a. is also attached below.

Answer:

a) Point estimate of sample mean  = 68

b) Point estimate of standard deviation (4 decimals) = 17.8122

Step-by-step explanation:

a) Point estimate of sample mean, \bar{x}  =  ∑Xi / n = (57 + 61 + 85 + 74 + 73 + 72 + 20 + 58 + 81 + 78 + 84 + 73)/12 = 68

b) Point estimate of standard deviation = sqrt ∑ Xi² - n\bar{x}² / n-1)

= sqrt(((57 - 68)^2 + (61 - 68)^2 + (85 - 68)^2 + (74 - 68)^2 + (73 - 68)^2 + (72 - 68)^2 + (20 - 68)^2 + (58 - 68)^2 + (81 - 68)^2 + (78 - 68)^2 + (84 - 68)^2 + (73 - 68)^2)/11) = 17.8122

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