9514 1404 393
Answer:
5/48, 5/46, 5/44, 5/42
Step-by-step explanation:
We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:
1/8.4 = 5/42
1/8.8 = 5/44
1/9.2 = 5/46
1/9.6 = 5/48
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<em>Check</em>
- 1/8 = 0.125
- 5/42 ≈ 0.119
- 5/44 ≈ 0.114
- 5/46 ≈ 0.109
- 5/48 ≈ 0.104
- 1/10 = 0.100
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<em>Additional comment</em>
There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.
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Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.
Answer:
Swimming one time around the pool is 56.5 ft
Step-by-step explanation:
Swimming 18 ft from one side of her circular pool to the other, swimming straight through the center means the circular swimming pool has a diameter of d=18 ft.
The circumference of the circle is calculated using:
where d=18 is the diameter and π=3.14 as given.
We substitute the values to get:
We approximate to the nearest tenth to get:
Answer:
slope is 4
Step-by-step explanation:
He answer is Positive 60 or 60+
Answer:
The gradient of the line joining the points 
and 
is 
.
Step-by-step explanation:
The gradient of the line joining two distinct point on a plane is represented by the slope of a secant line (
), that is:
(1)
If we know that and , then the gradient of the line is:
The gradient of the line joining the points and is .
