Answer:
The farmer should plant 14 additional trees, for maximum yield.
Step-by-step explanation:
Given
So, we have:
Required
The additional trees to be planted for maximum yield
The function is:
Open bracket
Rewrite as:
Differentiate
Equate to 0 and solve for x to get the maximum of x
Divide by -4
The farmer should plant 14 additional trees, for maximum yield.
Answer:
The Answer is A, a line segment that has both endpoints on a circle.
Step-by-step explanation:
The total amount of calories burnt in jogging 2 miles = 185 calories
We have to determine the number of calories burned in jogging 3 miles.
Firstly, we will determine the amount of calories burnt in jogging 1 mile. We will use unitary method to evaluate this.
So, the total amount of calories burnt in jogging 1 mile =
= 92.5 calories
So, the amount of calories burnt in 3 miles =
= 277.5 calories
Therefore, 277.5 calories are burned in jogging 3 miles.
Answer:
Water needed for pool = 486 cubic feet
Plastic liner required for the pool = 298.3 feet
Step-by-step explanation:
Top view of the pool is a composite figure, having one rectangle and a trapezoid.
1). Water needed for the pool = volume of the pool
Volume of the pool = Area of the base × Depth
= (Area of the rectangle + Area of the trapezoid)× depth
Area of the trapezoid =
=
= 105 ft²
Area of the rectangle = Length × width
= 11 × 1.5
= 16.5 ft²
Now, volume of the pool = (105 + 16.5) × 4
= 121.5 × 4
= 486 cubic feet
b). Liner required = surface area of the pool excluding top
= Surface area of the walls + Area of the pool base
= (Perimeter of the pool) × depth + area of the base
= (12 + 11 + 1.5 + 10.7 + 9)×4 + 121.5
= 176.8 + 121.5
= 298.3 square feet
Therefore, amount of water required = 486 cubic feet
liner needed = 298.3 square feet
Answer:
x > -11
Step-by-step explanation:
The way fractions type on here are weird, so i typed it on a different website i think this is right though.
