Answer:
A. 5 ft, 4 ft, 3 ft
Step-by-step explanation:
When you use the Pythagorean theorem with the numbers of the first choice, you find that these could be the sides of a right triangle:
3² + 4² = 9 + 16 = 25 = 5²
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You have found the correct answer at this point.
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If you want to check, you can examine the other choices:
C: 6² +10² = 136 ≠ 11²
B: 2² +4² = 20 ≠ 6²
D: 5² +10² = 125 ≠ 15²
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<em>Comment on 3-4-5 triangle</em>
As you can see from the above, side measures of 3, 4, and 5 will form a right triangle. This is the smallest set of integers that will do so. It is also the ratios of the only set of side lengths in arithmetic progression that will do so.
This latter fact can help you rule out choices B and D in this problem, because each of those has sides in the progression 1 : 2 : 3.
(3, 4, 5) triangles come up often in algebra and geometry problems. This is a useful "Pythagorean triple" to remember.
Answer: the cost of renting one water tank is 706.5
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the given information,
Radius = 5 feet
Height = 3 feet
Therefore,
Volume = 3.14 × 5² × 3 = 235.5 cubic feet.
If the cost is 3 per cubic foot, then the cost of renting one water tank is
235.5 × 3 = 706.5
Adelle took 84+12, or 96 pictures in all, including the unspoiled ones too. And since there are 24 pictures in each roll, you divide 96 by 24.
96/24 gives you 4.
So Adelle used 4 rolls of film.
Hope this helps.
