The surface area of a cylinder with circular bases of radius <em>r</em> and height <em>h</em> is equal to the sum of the areas of the two circular faces and the area of the rectangular lateral surface:
<em>A</em> = 2π<em>r</em>² + 2π<em>rh</em>
If you know the height <em>h</em>, then you can solve the quadratic equation for <em>r</em>.
4 bracelets/17 minutes = x bracelets/34 minutes
cross multiply: 4 · 34 = 17 · x
Divide both sides by 17: (4 · 34)/17 = x
x = 8
Answer: 8 bracelets
Step-by-step explanation:
12y-(-4-8y)
= 12y +4 + 8y. ['-' getting multiplied when brackets open]
= 12y + 8y +4. [ Adding the like terms ]
= <u>20 y + 4 (Ans)</u>
1. The "triangle inequality" states that any of the sides of the triangle, is larger than the difference of the other 2 sides (the larger minus the smaller), and it is smaller than the sum of them.
2. So the third side of this triangle must be larger than 14-8=6 (in) and smaller than 14+8=22 (in)
3. So let a denote the remaining side, then 6 < a < 22, which means a can be any number in between 6 and 22 inches.