Based on the given parameters, the length of c is 8.0 units
<h3>How to determine the side length of c?</h3>
The given parameters are
Angle c = 76 degrees
Side a = 20
Side b = 13
The length of c is then calculated using the following law of sines
c^2 = a^2 + b^2 - 2absin(C)
Substitute the known values in the above equation
So, we have
c^2 = 20^2 + 13^2 - 2 * 20 * 13 * sin(76)
Express 20^2 as 400
c^2 = 400 + 13^2 - 2 * 20 * 13 * sin(76)
Express 13^2 as 169
c^2 = 400 + 169 - 2 * 20 * 13 * sin(76)
Evaluate the product and sin(76)
c^2 = 400 + 169 - 520 * 0.9703
Evaluate the product
c^2 = 400 + 169 - 504.55
Evaluate the exponents
c^2 = 400 + 169 - 504.55
So, we have
c^2 = 64.45
Evaluate the square root
c = 8.0
Hence, the length of c is 8.0 units
Read more about law of sines at:
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Answer:
4. Option: 2
5. 7 inches
Step-by-step explanation:
Answer:
The system will be found to be inconsistent or dependent.
Step-by-step explanation:
The matrix A will have no inverse for two different reasons:
- The system is inconsistent
- The system is dependent
In the latter case, the Gauss-Jordan method will find a set of parametric equations for a solution. In the former case, there is no solution.
The outcome will depend on the reason why there is no inverse.
Answer:
z=96, because we know that any straight line is equivalent to 180 degrees, so we subtract 180-48-36=96.
To find x we first make an equation 6x+96+36=180
6x+132=180
6x=180-132
6x=48
6x/6=48/6
x=8
and also cause why not y=96 as well same principle applies.
Answer:
The correct answer is B. The number of rides and the total cost are both dependent variables, as both depend on the amount of money that Nia has.
Step-by-step explanation:
The total cost is dependent because it relies on how many rides Nia takes, and the $19.50 limit.
The number of rides is dependent on the limit of $19.50 because the $19.50 is the limit and the total amount of rides is locked by $19.50
I'm not sure, though.