By the law of cosines, the angle
satisfies
which reduces to
which converts to approximately 77 degrees (this can be done my multiplying by 180 and dividing by pi).
Answer:
triangle DCA is congruent to triangle BAC - because of AAS (angle-angle-side) theorem
Step-by-step explanation:
Remember the properties of logarithms. If you have ln81, you can pull out the power of two (9^2) and have 2ln9. Also, you could do ln9 + ln9 because 9*9=81 and ln9*9 = ln9 + ln9
With these properties, you can get 3lnx+2lny, which is 3u+2v according to the answer.
Hope I helped!
Answer: The equation is W^2 + 4W - 96= 0
{Please note that ^2 means raised to the power of 2}
Step-by-step explanation: We have been given hints as to the measurement of the length and width of the rectangle. The length is given as four more than the width. What that means is that whatever is the width, we simply add four to get the measurement of the length. Therefore if the width is W, then the length is W + 4.
That is,
L = W + 4 and
W = W
Also we have the area given as 96.
Remember that the area of a rectangle is given as
Area = L x W.
In this question, the Area is expressed as
Area = (W + 4) x W
96 = W^2 + 4W
Subtract 96 from both sides of the equation and we have
W^2 + 4W - 96 = 0.
We now have a quadratic equation from which we can determine the dimensions of the rectangle
