To determine the amount of gold plating necessary for the similar box, you will use the fact that it is 8 times larger in volume to determine how many times larger the area is. This would be what you will multiply $125 by.
Volume is a three dimensional measurement, so the fact that it is 8 times larger tells us each dimension was 2 times larger (2 x 2 x 2=8).
Area is a two dimensional measurement, so the area would have been 2 x 2 or 4 times larger. This means the price would be 4 times as much.
$125 x 4 = $500.
It will cost $500 to gold plate the similar jewelry box.
<span><span><span>2<span>(2^2)</span></span>(3)</span><span>(2^2)
</span></span><span><span><span>2<span>(2^2)</span></span>(3)</span><span>(2^2)
</span></span><span>=96</span>
Answer: 0.04 per pound
Step-by-step explanation:
A 5 pound bag of apples costs 4.50.
The unit price will be 4.50 divided by 5 which will be:
4.50 ÷ 5 = 0.9
The unit price is 0.9 per pound
A 8 pound bag of the same type of apples costs 7.52.
The unit price will be 7.52 divided by 8 which will give:
7.52 ÷ 8 = 0.94
The unit price is 0.94 per pound
The difference in the unit prices will be the subtraction of 0.90 from 0.94.
0.94 - 0.90 = 0.04
The difference in the unit prices is 0.04 per pound.
Answer:
<u>Option D: A cylinder with a circumference of about 50 units</u>
Step-by-step explanation:
The rest of the question is the attached figure.
The square shown has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr
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Given: the perimeter of the square = 32
perimeter of a square is four times the length of its side
So, the side length of square = 32/4 = 8 units
The square is rotated about line k.
So, it will form a cylinder with radius 8 units.
Circumference of a circle = 2 π r
Where, r is the radius of the circle.
Circumference of the base is C = 2 π * 8
∴ C = 16π = 16 * 3.14
∴ C = 50.26548 ≈ 50
The shape is created by the rotation is a cylinder with a circumference of about 50 units.
<u>So, the answer option is D.</u>