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xxMikexx [17]
2 years ago
8

Picture says all 20 charecters needed

Mathematics
2 answers:
Alika [10]2 years ago
7 0

Answers:

Lower bound = 41.3

Upper bound = 41.5

===========================================================

Explanation:

49.15 is the smallest f can be while 49.24 is the largest it can be. Well technically we could have something like 49.2499 or 49.24999 and so on. We slowly approach 49.25 but never actually get there

So the variable f is between 49.15 and 49.25 inclusive of the first value but excluding the second value. We can write it as 49.15 \le f < 49.25

For similar reasoning, 7.75 \le g < 7.85

-----------------

If we wanted to subtract those variables and get the smallest result possible, then we need to pick values that are closest together. It might help to set up a number line.

This means we'd go for f = 49.15 and g = 7.85

The lower bound for f-g is f-g = 49.15-7.85 = 41.3

In contrast, the upper bound is when the two variables are spaced as far apart as possible. The upper bound is f-g = 49.25 - 7.75 = 41.5

photoshop1234 [79]2 years ago
3 0

Answer:

See below

Step-by-step explanation:

49.2     could  be       49.15 <= f < 49.25

7.8        could be       7.75 <= f < 7.85

Lower bound of   f- g    would then be    49.15  - 7.85 > 41.3

upper bound     49.25 - 7.75 < 41.5

<u>  41.3  < f-g < 41.5 </u>

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Question 2 Unsaved
Goryan [66]

According to the geometry program used to draw the triangle, the lengths of the sides add to 21.841 units*. Rounded to the nearest tenth, the appropriate answer choice is ...

... 21.8

_____

You can use your test-taking skill to choose this answer without doing a single calculation. The answer choices appear to be about rounding, not about accurate calculation of the length. The choice 21.84 tells you that is probably the value before any rounding. Then choices 22 and 21.9 are obviously incorrectly rounded. The correctly rounded answer is then 21.8.

Coordinate differences are ...

AB = (-1, 6) -(-4, 0) = (3, 6) . . . . ║AB║=√(3²+6²)=3√5

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CA = (-4, 0) -(3, -1) = (-7, 1) . . . . ║CA║=√(7²+1²)=5√2

The sum of these lengths is about 21.8415, so rounds to 21.8.

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* If you follow the math, you find that the final sum should be displayed using 3 decimal digits as 21.842. The error in the least-significant digit of the sum comes from rounding each length to 3 decimal digits.

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3 years ago
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