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:
Bottom left (each term in pattern X is 1/3...)
Step-by-step explanation:
If you look at the 2nd row, you will recognize that when you multiply 15 times 1/3, you will get 5, which is 1/3 of 15. You will recognize this pattern across the whole table.
Answer16.2
Step-by-step explanation:
Answer:
nukes, weapons, and mres, and other foods and packing goods( for germany it is voca
Step-by-step explanation:
The smaller and the larger hexagons both have 6 sides
The length of each side of the larger hexagon
<h3>How to determine the length of each side of the larger hexagon</h3>
The given parameters are:
Smaller side, l = 10
Scale factor = 5 : 7
Represent the length of each side of the larger hexagon with L.
So, we have:
l : L = 5 : 7
Substitute 10 for l
10 : L = 5 : 7
Multiply the ratio by 2
10 : L = 5 *2 : 7 *2
Evaluate the product
10 : L = 10 : 14
By comparison, we have:
L = 14
Hence, the length of each side of the larger hexagon
Read more about scale factors at:
brainly.com/question/3457976