(a) A random sample of 10 houses in a particular area, each of which is heated with natural gas, is selected and the amount of g
1 answer:
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Answer:
38.60mm
Step-by-step explanation:
Step one:
Given data
We are given that the dimension of the triangles are length 23 mm and 31 mm
Let us assume that the triangle is a right angle triangle
Step two:
Applying the Pythagoras theorem we can find the third as
square both sides
z= √ 1490
z= 38.60mm
Hence a possible dimension of the third side is 38.60mm
Answer:
Maximum added area will be 60,000 ft²
Each paddock measure 200 ft by 150 ft, and the paddocks share a 200-ft long side.
Step-by-step explanation:
Consider the provided information.
There is sufficient funding to rent 1200 feet of temporary chain-link fencing.
The plan is to form two paddocks with one shared fence running down the middle.
The total length of fencing is 1200 feet that is same as the total perimeter including that shared line down the middle.
Therefore, the perimeter is
Solve for L
As we know the area of rectangle is A=L×W
Substitute the value of L in above formula.
The above equation makes a downward parabola.
In order to find the maximum, find the vertex of parabola as shown:
Hence, the width should be 200 ft in order to get maximum area,
Therefore, the length will be:
Now substitute the value of L and W in area formula.
A=300×200=60,000
Hence, maximum added area will be 60,000 ft²
Hence, the length should be 300 ft, and each paddock should then be 150 feet long.
Each paddock measure 200 ft by 150 ft, and the paddocks share a 200-ft long side.
