Y is less than or equal to 4, y is less than or equal to 14, x is less than or equal to 10, x is less than or equal to 20
This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.
Area of a rectangle:
The area of rectangle of length l and width w is given by:
w(2w + 3) = 9
From this, we get that:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots 
such that 
, given by the following formulas:
In this question:
Thus a quadratic equation with 
Then
Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.
Another similar problem can be found at brainly.com/question/16995958
Answer:
104.8cm³(1 decimal place)
Step-by-step explanation:
Volume of a cone is given by the formula
V=1/3πr²h
we are given a radius of 5 and a height of 4 so we will just substitute for the values and we will give our pie as 22/7
V=1/3× 22/7×5²×4
V=1/3 × 22/7 ×25 ×4
V=2200/21
V=104.76190476
V=104.8cm³(1decimal place)
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Answer:
41 inches of wire will cost 164 cents.
Step-by-step explanation:
1st Method
Use proportions!
18/ 72 = 41/ c
Cross multiply
18 * c = 72 * 41
18c = 2952 divide both sides by 18
<em>c = 164</em>
2nd Method.
Find the rate of the costs. r = rate
18*r = 72
r = 4 cents/inch
Now that you've found the rate you can multiply it by 41 inches to find the cents the wire costs!
41 inch * r (cents/inch) inches cancels out.
41 * 4 = 164
<em>164 cents</em>
