Answer:
x=7
Step-by-step explanation:
4(2x-3) = 6x+2
8x-12 = 6x+2
2x = 14
x=7
The limit of the function tan 6x/sin 2x as x approaches zero is determined by first substituting x by zero. This is equal to zero over zero which is indeterminate. Using L'hopital's rule, we derive each term in the numerator and denominator separately. This is equal to 6 sec^2 x / 2 cos 2x. when substituted with zero again, the limit is 1/2.
$8.50 because if he worked 40 hours a week you would multiple that by 52 because there are 52 weeks in a year. From there you would take the total he made and divide it by the hours he worked.
First, we need to find the missing leg of triangle ACD. We have to use pythagorean theorem to find the missing leg.
a^2 + b^2 = c^2
In this problem,
a = 2
b = ?
c = 5
Plug our numbers into the formula above.
2^2 + b^2 = 5^2
Simplify our terms
4 + b^2 = 25
Subtract 4 from both sides
b^2 = 21
Take the square root of each side
b = √(21)
Now, we can solve for the area of triangle ABC
Area of a triangle = (h * b) / 2
h = height
b = base
In this problem,
h = √(21)
b = 5.0
Plug our numbers into the area formula of a triangle
Area = (√(21) * 5) / 2 = 11.46 square units
Solving for a gives us: 
Step-by-step explanation:
Solving an equation for a variable means that we have to isolate the variable in the equation
Given equation is:
For isolating a, subtracting c from both sides
Subtracting b from both sides
Hence,
Solving for a gives us:
Keywords: Equation, formula
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