Answer:
The plates will not fit into the box.
Step-by-step explanation:
Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of 
.
Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.
What we want to figure out now is the height of the cylindrical box <em>to see if it is greater than or equal to 4 inches</em>—<em>the height of the stack of plates. </em>
The volume of a cylinder is 
, and since for our cylindrical box the volume is 150 cubic inches; therefore,
putting in 
and solving for height 
we get
,
which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.
Answer : 64b^2 - 4
Hope that helps. If you need me to explain how I got my answer I will provide a picture.
Answer:
<u>384 cm²</u>
Step-by-step explanation:
Property of rhombus :
- Diagonals of rhombus bisect each other and are perpendicular to each other
Given :
- Rhombus ABCD and its diagonals AC and BD bisect each other at O
- AC ⊥ BD
- AB = BC = CD = DA = 20 cm
- AC = 24 cm
Solving :
Area of the given rhombus is twice the Area of ΔABC formed by the given diagonal and two adjacent sides.
- 2 × 1/2 × OB × AC
- 24 × OB
- 24 × √AB² - AO²
- 24 × √20² - (AC/2)²
- 24 × √400 - 144
- 24 × √256
- 24 × 16
- <u>384 cm²</u>
Step-by-step explanation:
z² +x² - y= -2²+ -1² - 3
4+ 1 - 3= 2
x²y²z²= -1²× 3²× -2²
1× 9× 4= 36
To solve this problem, you should know what is the not recovered waste for each item. To solve this, you should deduct the waste recovered from waste generated.
So for paper, the waste that is not recovered is 2.674 x 10^7.
While for glass, the not recovered waste is 0.840 x 10^7.
Lastly for plastics, the waste that is not recovered is 3.0554 x 10^7.
So by adding these three items, we can get now the total waste not recovered.
2.674 x 10^7 + 0.840 x 10^7 + 3.0554 x 10^7 = 6.5694 x 10^7.
