Answer:length of wire = 116 ft
Explanation:The attached image shows a diagram on the scenario given.
Now, we can note that the string forms a right-angled triangle with the tower and the ground. This means that special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
Now, from the given, we can find that:
θ = 34°
opposite is the tower = 65 ft
hypotenuse is the string length that we want to find
Substitute with the givens in the sin function to get the length of string as follows:
sin (34) = 65 / string
string = 65 / sin(34)
string = 116.2 which is approximately 116 ft
Hope this helps :)
C = pi * r ^squared
r = is radius
square the radius, multiple by r
or
2 x pi x r
Using the Empirical Rule, it is found that:
- a) Approximately 99.7% of the amounts are between $35.26 and $51.88.
- b) Approximately 95% of the amounts are between $38.03 and $49.11.
- c) Approximately 68% of the amounts fall between $40.73 and $46.27.
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The Empirical Rule states that, in a <em>bell-shaped </em>distribution:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
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Item a:


Within <em>3 standard deviations of the mean</em>, thus, approximately 99.7%.
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Item b:


Within 2<em> standard deviations of the mean</em>, thus, approximately 95%.
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Item c:
- 68% is within 1 standard deviation of the mean, so:


Approximately 68% of the amounts fall between $40.73 and $46.27.
A similar problem is given at brainly.com/question/15967965
Answer:
13/3 -3i
Step-by-step explanation:
(3i-2/3)-(6i-5)
Distribute the minus sign
(3i-2/3)-6i+5
Combine like term
-2/3 +5 +3i - 6i
-2/3 +15/3 -3i
13/3 -3i
This is standard form