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tatiyna
3 years ago
11

Find the length of the segment indicated. A. 16.4 B. 11.4 C. 12.1 D. 13.3

Mathematics
1 answer:
kykrilka [37]3 years ago
4 0

using Pythagorean triplet

\\ \sf\longmapsto P^2=H^2-B^2

\\ \sf\longmapsto x^2=19.6^2-15.4^2

\\ \sf\longmapsto x^2=384.16-237.16

\\ \sf\longmapsto x^2=147

\\ \sf\longmapsto x=\sqrt{147}

\\ \sf\longmapsto x=12.1

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What numbers can give me 8 when added and 30 when multiplied
Paul [167]
In this problem, it is important to take note that the number of numbers to be utilized isn't specified so it can be up to a thousand numbers. It wasn't also specified if repeating of numbers is allowed or not. So with those taken into consideration and the condition presented in mind, the numbers that can give you 8 when added and 30 when multiplied are 2, 3, 5, -1, and another -1. The derivation from this is mainly from factorization and a little bit of logic.

here is the solution.

2 x 3 x 5 x -1 x -1 = 30
6 x 5 x -1 x -1 = 30
30 x -1 x -1 = 30
-30 x -1 = 30
30 = 30

2 + 3 + 5 + -1 + -1 = 8
5 + 5 + -1 + -1 = 8
10 + -1 + -1 = 8
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8 = 8
7 0
3 years ago
the square of a certain whole number n is n^2. if 60 is a factor of n^2, it's possible that ? is not a factor of n^2. a)16 b)25
DanielleElmas [232]
If 60 is a factor of n², then √60 is a factor of n. However, n is a whole number, so its factors are whole numbers.

Simplify √60:
\sqrt{60}=\sqrt{4 \times 15}=2\sqrt{15}

If 2√15 is a factor of a whole number n, then √15 must be another factor to make it a whole number.

2\sqrt{15} \times \sqrt{15}=2 \times 15=2 \times 3 \times 5

If 60 is a factor of n², then 2, 3, and 5 must be factors of n. The factors of n² are the squares of the factors of n, so 2, 2, 3, 3, 5, and 5 must be factors of n².

Now, if 2, 2, 3, 3, 5, and 5 are factors of n², then:
* 5×5=25 must also be its factor
* 2×2×3×3=36 must also be its factor
* 2×2×5×5=100 must also be its factor

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4 0
3 years ago
In the diagram shown, chords AB and CD intersect at E.
frez [133]

Check the picture below.

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7 0
1 year ago
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Tpy6a [65]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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Step-by-step explanation:

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