Answer:Area = 492.4 m²
Explanation:The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between these two sides)
This rule is illustrated in the attached image.
Now, we have:
AB = 40 m
BC = 25 m
angle B which is the angle included between AB and BC = 80 degrees
The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5*40*25*sin(80)
Area of triangle = 492.4 m²
Hope this helps :)
Answer:
- f(x) = 2x -2/3
- f(3) = 5 1/3
Step-by-step explanation:
We solve an equation for a specific variable by using inverse operations to undo what is done to the variable. The resulting function is evaluated by substituting the given value for the variable.
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<h3>a.</h3>
We are given the equation ...
6x -3y = 2
Solving for y, we get ...
6x -2 = 3y . . . . . add 3y-2 to both sides
2x -2/3 = y . . . . . divide by 3
f(x) = 2x -2/3 . . . . write using functional notation
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<h3>b.</h3>
To find f(3), we use x=3 in the function.
f(3) = 2(3) -2/3 = 6 -2/3
f(3) = 5 1/3
H=number of hours
m=total salary
m=15.50h+50
put 400 in for m
400=15.50h+50
now solve for h
400=15.50h+50
-50. -50
350=15.50h
Divide 350 by 15.50to get your final answer
you get a long decimal so I rounded it.
22.6 hours