Expand <span><span><span>(<span>x<span>−3</span></span>)</span><span>(<span>x<span>−6</span></span>)</span></span><span><span>x<span>-3</span></span><span>x<span>-6</span></span></span></span> using the FOIL Method.Tap for less steps...Apply the distributive property.<span><span><span>x<span>(<span>x<span>−6</span></span>)</span></span><span><span>−3</span><span>(<span>x<span>−6</span></span>)</span></span></span><span><span>x<span>x<span>-6</span></span></span><span><span>-3</span><span>x<span>-6</span></span></span></span></span>Apply the distributive property.<span><span><span><span>xx</span>+<span>x⋅<span>−6</span></span></span><span><span>−3</span><span>(<span>x<span>−6</span></span>)</span></span></span><span><span><span>xx</span>+<span>x⋅<span>-6</span></span></span><span><span>-3</span><span>x<span>-6</span></span></span></span></span>Apply the distributive property.<span><span><span><span>xx</span>+<span>x⋅<span>−6</span></span></span>+<span>(<span><span><span>−3</span>x</span><span><span>−3</span>⋅<span>−6</span></span></span>)</span></span><span><span><span>xx</span>+<span>x⋅<span>-6</span></span></span>+<span><span><span>-3</span>x</span><span><span>-3</span>⋅<span>-6</span></span></span></span></span>Remove parentheses.<span><span><span><span><span>xx</span>+<span>x⋅<span>−6</span></span></span><span><span>−3</span>x</span></span><span><span>−3</span>⋅<span>−6</span></span></span><span><span><span><span>xx</span>+<span>x⋅<span>-6</span></span></span><span><span>-3</span>x</span></span><span><span>-3</span>⋅<span>-6</span></span></span></span>Simplify and combine like terms.Tap for less steps...Simplify each term.Tap for more steps...<span><span><span><span><span>x2</span><span><span>−6</span>x</span></span><span><span>−3</span>x</span></span>+18</span><span><span><span><span>x2</span><span><span>-6</span>x</span></span><span><span>-3</span>x</span></span>+18</span></span>Subtract <span><span>3x</span><span>3x</span></span> from <span><span><span>−6</span>x</span><span><span>-6</span>x</span></span> to get <span><span><span>−9</span>x</span><span><span>-9</span>x</span></span>.<span><span><span>x2</span><span><span>−9</span>x</span></span>+<span>18</span></span>
Use the cosine formula
Cos(angle) = adjacent/ hypotenuse
cos(30) = x/8
Cos(30) can be written as sqrt(3)/2
Now you have :
sqrt(3)/2 = x/8
Multiply both sides by 8:
X = sqrt(3)/2 x 8
Simplify:
X = 4sqrt(3)
ANSWER: 569.5
All you have to do is make you % into a decimal is multiply by 850
Hope this helps :-)
Answer:
Yay I got easy points thank you bro
Step-by-step explanation:
Here it is given that the width is x ft and total length of the fence is 2400 ft .
Let the length be y ft
So we have

Let A represents area, and area is the product of length and width .
So we get

Substituting the value of y, we will get

Second part
The area is maximum at the vertex, and vertex is

And

And that's the required dimensions .