Answer:263.9 in squared
Step-by-step explanation:
Find the area of the whole circle
Multiply area times the angle of the shaded region by total angle
Get answer
(pi)(12^2) = Area of whole
(Whole area)x(210deg/360deg)
=== 263.9 in squared
Answer:
310,000
Step-by-step explanation:
Answer:
$110.88
Step-by-step explanation:
Let L be the length of the first fence surrounding the garden and P its perimeter.
For a square, P = 4L,
So, L = P/4
Since P = 36 feet,
L = P/4
= 36/4
= 9 feet
Let L' be the length of the second fence. Given that second fence is 3 feet away from the first fence, it follows that L' = L + 3
= 9 + 3
= 12 feet.
So, the perimeter of the second fence is P' = 4L'
= 4 × 12 feet
= 48 feet.
So, the total length of the two fences is P" = P + P'
= 36 feet + 48 feet
= 84 feet
Since the cost of the material to build the two fences is $1.32 per foot, the total cost of the fences is cost per foot × total length of fences = $1.32 × 84 = $110.88
Answer:
Variation equation: y = k/√x
constant of variation: 200
Variation Equation by plugging the value of k: y = 200/√x
Step-by-step explanation:
If y varies inversely with the SQUARE ROOT of x, then;
y = k/√x
If x = 4, y = 100.
100 = k/√4
100 = k/2
200 = k
k = 200
Substitute into the expression
y = k/√x
y = 200/√x
Answer:
(a) 
(b) Domain: 
<em>(See attachment for graph)</em>
(c) 
Step-by-step explanation:
Given
Solving (a): A function; l in terms of w
All we need to do is make l the subject in
Divide through by 2
Subtract w from both sides
Reorder
Solving (b): The graph
In (a), we have:
Since l and w are the dimensions of the fence, they can't be less than 1
So, the domain of the function can be
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To check this
When 
When 
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<em>See attachment for graph</em>
<em></em>
Solving (c): Write l as a function 
In (a), we have:
Writing l as a function, we have:
Substitute for l in
becomes
