Answer/Step-by-step explanation:
x + 74° + 20° = 180° (sum of interior angles of a triangle)
x + 94° = 180°
x = 180° - 94° (subtraction property of equality)
x = 86°
y = 74° + 20° (exterior angle theorem of a triangle)
y = 94°
y + z + 32° = 180° (sum of interior angles of a ∆)
Plug in the value of y
94 + z + 32 = 180
z + 126 = 180
z = 180 - 126
z = 54°
By applying <em>algebraic</em> handling, <em>exponential</em> and <em>logarithm</em> properties, we conclude that the equation of the time of flight (T) is
.
<h3>How to clear a variable within an exponential equation </h3>
In this question we must clear the variable of time of flight (T) by means of <em>algebraic</em> procedures. <em>Exponential</em> expressions are <em>trascendental</em> functions, these are, expressions that cannot be described algebraically:
![\left(v_{o} + \frac{g}{k} \right)\cdot e^{-k \cdot T} = \frac{g}{k}](https://tex.z-dn.net/?f=%5Cleft%28v_%7Bo%7D%20%2B%20%5Cfrac%7Bg%7D%7Bk%7D%20%5Cright%29%5Ccdot%20e%5E%7B-k%20%5Ccdot%20T%7D%20%3D%20%5Cfrac%7Bg%7D%7Bk%7D)
![e^{-k\cdot T} = \frac{\frac{g}{k} }{v_{o}+\frac{g}{k} }](https://tex.z-dn.net/?f=e%5E%7B-k%5Ccdot%20T%7D%20%3D%20%5Cfrac%7B%5Cfrac%7Bg%7D%7Bk%7D%20%7D%7Bv_%7Bo%7D%2B%5Cfrac%7Bg%7D%7Bk%7D%20%7D)
![- k\cdot T = \ln \frac{\frac{g}{k} }{v_{o}+\frac{g}{k} }](https://tex.z-dn.net/?f=-%20k%5Ccdot%20T%20%3D%20%5Cln%20%5Cfrac%7B%5Cfrac%7Bg%7D%7Bk%7D%20%7D%7Bv_%7Bo%7D%2B%5Cfrac%7Bg%7D%7Bk%7D%20%7D)
![T = -\frac{1}{k}\cdot \ln \frac{\frac{g}{k} }{v_{o}+\frac{g}{k} }](https://tex.z-dn.net/?f=T%20%3D%20-%5Cfrac%7B1%7D%7Bk%7D%5Ccdot%20%5Cln%20%5Cfrac%7B%5Cfrac%7Bg%7D%7Bk%7D%20%7D%7Bv_%7Bo%7D%2B%5Cfrac%7Bg%7D%7Bk%7D%20%7D)
By applying <em>algebraic</em> handling, <em>exponential</em> and <em>logarithm</em> properties, we conclude that the equation of the time of flight (T) is
.
To learn more on exponential functions: brainly.com/question/11487261
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Answer:
deal with the rectangle first A = l X w
4 X 12 = 48 squared cm
semi circle
Area of a circle πr^2
12/2 = 6, radius = 6
π6^2 = 113.097335
113.097335/2 = 56.5486677
56.5 + 48 = 104.5 squared cm
Answer:
11.176 meters/second
Step-by-step explanation:
1 mile = 1609.34 meters
25 miles = 40233.6 meters
1 hour = 60 minutes
1 minute = 60 seconds
1 hour = 3600 seconds
40233.6 / 3600,
11.176 meters/second
Answer:
C
Step-by-step explanation:
Did the test and got it right.