HELP plS! if sin 0=7/25, find cos0.
2 answers:
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The perimeter of the area of the pen the farmer intends to build for his
ship includes the length of the permanent stone wall.
Response:
i) The length and width of the rectangular pen are; <em>x</em>, and , therefore;
- The area is;
iii) The value of <em>x</em> that makes the area as large as possible is x = 50
<h3>How is the function for the area and the maximum area obtained?</h3>Given:
The length of fencing the farmer has = 100 m
Part of the area of the pen is a permanent stone wall.
Let <em>x</em> represent the length of the stone wall, we have;
2 × Width = 100 m - x
Therefore;
Width, <em>w</em>, of the rectangular pen,
Area of a rectangle = Length × Width
Area of the rectangular pen, is therefore;
, and
are found as follows;
iii) The value of <em>x</em> that makes the area as large as possible is given as follows;
Given that the second derivative, , is negative, we have;
At the maximum area, , which gives;
x = 50
- The value of x that makes the area as large as possible is <em>x</em> =<u> 50</u>
Learn more about the maximum value of a function here:
Answer:
16.5 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the other leg, then
x² + 13² = 21²
x² + 169 = 441 ( subtract 169 from both sides )
x² = 272 ( take the square root of both sides )
x = ≈ 16.5 cm ( to the nearest tenth )