Answer:
927 cubic inches
Step-by-step explanation:
The area of the octagonal base is ...
A = (1/2)Pa
where P is the perimeter, and 'a' is the apothem. Using the given numbers, the base area is ...
A = (1/2)(8·4)(4.83) = 77.28 . . . square inches
The volume of the prism is given by ...
V = Bh
where B represents the area of the base, and h is the height.
V = (77.28 in^2)(12 in) = 927.36 in^3
The volume of the prism is about 927 cubic inches.
Answer:
The answer would be Part F
Answer:
Step-by-step explanation:
Given:
Length of rectangular garden = (x + 2) ft
Width = (x + 7) ft
Required:
a. Polynomial expression of the area of the garden
b. Polynomial expression of the perimeter of the garden
SOLUTION:
Area of the rectangular garden = length × width
Expand using the distributive property of multiplication
Perimeter = 2(length) + 2(width)
Collect like terms
Answer:
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. Businesses use inequalities to control inventory, plan production lines, produce pricing models, and for shipping/warehousing goods and materials.
Step-by-step explanation:
Here's an example of a real world problem that's using inequalities.
Virena's Scout troop is trying to raise at least $650 this spring. How many boxes of cookies must they sell at $4.50 per box in order to reach their goal?
Let x = number of boxes sold. Then the inequality describing this problem is 4.50 ≥ 650.
We solve the inequality by dividing both sides by 4.50: x ≥ 144.44.
We round up the answer to 145 since only whole boxes can be sold.
Virena's troop must sell at least 145 boxes.
Then you should Check to make sure its correct:
If we multiply 145 by $4.50 we obtain $652.50, so if Virena's troop sells more than 145 boxes they will raise more than $650. But if they sell 144 boxes, they will only raise $648, which is not enough. So they must indeed sell at least 145 boxes. The answer checks out.
The answer to the question
