A man is planning to take his vacation in three weeks. He determines that there is a 15% chance of rain on any given day in that
1 answer:
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Let
b------> the base of the triangle
h------> the height of the triangle
we know that
area of the triangle=b*h/2
h=b+8-----> equation 1
area=104.5 in²
104.5=b*h/2-----> 209=b*h-----> equation 2
substitute equation 1 in equation 2
209=b*[b+8]----> 209=b²+8b-----> b²+8b-209=0
using a graph tool---> to resolve the second order equation
see the attache figure
the solution is
b=11 in
h=b+8----> h=19 in
the answer is
the base is 11 in and the height is 19 in
b------> the base of the triangle
h------> the height of the triangle
we know that
area of the triangle=b*h/2
h=b+8-----> equation 1
area=104.5 in²
104.5=b*h/2-----> 209=b*h-----> equation 2
substitute equation 1 in equation 2
209=b*[b+8]----> 209=b²+8b-----> b²+8b-209=0
using a graph tool---> to resolve the second order equation
see the attache figure
the solution is
b=11 in
h=b+8----> h=19 in
the answer is
the base is 11 in and the height is 19 in
Answer:
Step-by-step explanation:
Since we know we only have 640 feet of fence available, we know that L + W + L = 640, 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L
Remember, the area of a rectangle is equal to the product of its width and length, therefore,
Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.
recall,
Since our function is A(L)=640L-2L², we get
- a=-2
- b=640
plug in the value of a and b into the first formula:
hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>
and we're done!