Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
Well just think, what is the ten thousands place? 1 right by 6. From this to round you look at the previous number 6, anything 5 or above will be rounded up making the 1 into a 2, anything lower than a 5 will become rounded down making the 1 stay the same, but instead making it into 10,000
So the answer would be 20,000
Answer:
Therefore, the measure of angles x is 55°.
Step-by-step explanation:
From the given figure ,
105° is the exterior angle
x° and 50° are the two interior opposite angles to 105°
We know that
An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles
⇛ x° + 50° = 105°
⇛ x° = 105°-50°
⇛ x° = 55°
Therefore , x = 55°
<u>Exterior</u><u> </u><u>Angle:</u><u>↓</u>
An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles.
Hope this helps!!
