A rectangular prism is a polyhedron with six rectangular faces. To fully define a rectangular prism, one must know its length, width and height. The volume of a rectangular prism is expressed as the product of its dimensions - length, width and height. To calculate for its width, we use the volume formula.
V = l x w x h
From the given, we have:
l = 3w
h = 2 + w
V = 135 ft^3
Substituting the given expressions,
135 ft^3 = 3w (w) (2+w)
135 ft^3 = 6w^2 + 3w^3
Solving for w, we obtain the following values:
w1= 3
w2 = 2.5 + 2.96i
w3 = 2.5 - 22.96i
Since width should not have a negative value, the value of w should be 3 ft.
Answer:
3 sets.
1 7 10
2 7 9
3 7 8.
Step-by-step explanation:
The sum must be 18 ( 3*6) and 7 is the middle number ( the median).
So the first and last numbers must add up to 11 with the first number less than 7. As there is no mode no number can be repeated.
So one set is 3 7 8 (the first number can't be 4 as the last number would have to be 7)
Others are 2 7 9,
1 7 10.
Answer:
1
Step-by-step explanation:
List out factors of 13
13: 1,13
List out factors of 5
5: 1,5
GCF = 1
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Answer:
- perimeter: 5/8
- area: 25/64
Step-by-step explanation:
You want the ratios (red to blue), of perimeter and area, given that corresponding sides have the ratio red to blue = 5 to 8.
<h3>Perimeter ratio</h3>
The ratio of perimeters is the ratio of corresponding side lengths:
red to blue = 5 / 8
<h3>Area ratio</h3>
The ratio of areas is the square of the ratio of corresponding side lengths:
red to blue = (5 to 8)² = 25 / 64
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<em>Additional comment</em>
Ratios are customarily expressed in any of three equivalent forms:
- 5 to 8
- 5:8
- 5/8 "fraction" form
Answer:
Y= 1/5x + 3
Step-by-step explanation:
Hope it helps
