PLEASE HELP ME LOL
1 answer:
If the gardener want the length to be 14 feet longer than it is wide, then L=w+14. We are given an area of 112. The area formula for a rectangle is A=L*W. Filling in accordingly, 112 = (w+14)(w). Distributing we have 
. We are looking for the dimensions of the garden, so we have to solve for w. To do that we have to factor. Set it equal to 0 to get the quadratic 
. Plug that into the quadratic formula to get w values of 5.69 and -19.69. The 2 things in math that will never EVER be negative are time and distance/length so we will not use the negative value. Therefore, our width is 5.69. Our length of w+14 is then 5.69+14 is 19.69. There's our dimensions: width is 5.69 and length is 19.69
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Answer: sin = ±
Step-by-step explanation:
We very well know that,
cos2A=1−2sin²A
⟹ sinA = ±
As required, set A = & cos a=
,thus we get
sin =±
∴ sin =±
= ±
since ,360° < <450°
,180° < <225°
Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.
hope it helped!