No. Arkansas is between 33° and 36.5° latitude
The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²
<h3>How to calculate
area?</h3>
Combined area = big rectangle + smaller rectangle - triangle
Hence:
733 = (13 * (59 - x)) + (x * 9) - 0.5(9 - 7) * (x - 6)
733 = 767 - 13x + 9x - x + 6
x = 8 feet
The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²
Find out more on area at: brainly.com/question/25292087
Answer:
Step-by-step explanation:
<em>The complete question is </em>
What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth.
see the attached figure to better understand the problem
step 1
Find the measure of angle S
Applying the law of sines
![\frac{QS}{sin(R)}=\frac{QR}{sin(S)}](https://tex.z-dn.net/?f=%5Cfrac%7BQS%7D%7Bsin%28R%29%7D%3D%5Cfrac%7BQR%7D%7Bsin%28S%29%7D)
substitute the given values
![\frac{3.1}{sin(80^o)}=\frac{2.4}{sin(S)}](https://tex.z-dn.net/?f=%5Cfrac%7B3.1%7D%7Bsin%2880%5Eo%29%7D%3D%5Cfrac%7B2.4%7D%7Bsin%28S%29%7D)
Solve for sin(S)
![sin(S)=\frac{sin(80^o)}{3.1}(2.4)](https://tex.z-dn.net/?f=sin%28S%29%3D%5Cfrac%7Bsin%2880%5Eo%29%7D%7B3.1%7D%282.4%29)
![S=sin^{-1}[sin(80^o)}{3.1}(2.4)]](https://tex.z-dn.net/?f=S%3Dsin%5E%7B-1%7D%5Bsin%2880%5Eo%29%7D%7B3.1%7D%282.4%29%5D)
![S=49.68^o](https://tex.z-dn.net/?f=S%3D49.68%5Eo)
step 2
Find the measure of angle Q
Remember that the sum of the interior angles in any triangle mut b equal to 180 degrees
so
![m\angle Q+m\angle R+m\angle S=180^o](https://tex.z-dn.net/?f=m%5Cangle%20Q%2Bm%5Cangle%20R%2Bm%5Cangle%20S%3D180%5Eo)
substitute the given values
step 3
Find the length of segment RS
Applying the law of sines
substitute the given values
Answer:
84=2l+2w
w=21
Step-by-step explanation:
84=2(l+w)
42=l+w
l=42-w
Area=l×w
A=(42-w)×w
Differentiate A=42w-w×w
with respective to "w".
dA/dw= 42-2w
For a minimum or maximum area
dA/dw=0
then, 42-2w=0
w=21
proving "A" is maximum when "w=21"
dA/dw>0 when w<21
dA/dw<0 when w>21
Therefore Area is maximum when "w=21"
Answer:
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