Find COS

Mathematics

1 answer:

ehidna [41]2 years ago

6 0

$\frac{9}{41}$

Step-by-step explanation:

The ratio cosine tell us that

In a right angled triangle, the cosine of an angle is the side adjacent to the angle divided by the hypotenuse of the triangle.

In other words,

$\cos(x) = \frac{adj}{hyp}$

The side adjacent to angle a is 9. The hypotenuse is 41.

$\cos(a) = \frac{9}{41}$

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A landscape designer has to construct a rectangular flower bed with a perimeter of 100 feet and the maximum possible area. What

Alinara [238K]

9514 1404 393

Answer:

625 square feet

Step-by-step explanation:

The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is

A = (25 ft)² = 625 ft²

The maximum possible area is 625 ft².

In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.