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STatiana [176]
3 years ago
13

In the diagram below, triangle ABC is drawn with altitude BD. If AD = 30 and AC = 36, determine the length of AB rounded to the

nearest tenth.​

Mathematics
1 answer:
denis-greek [22]3 years ago
5 0

9514 1404 393

Answer:

  32.9

Step-by-step explanation:

The ratio of long side to hypotenuse is the same for all of the triangles in the figure.

  AD/AB = AB/AC

  AB^2 = AD·AC = 30·36

  AB = 6√30 ≈ 32.863

To the nearest tenth, AB ≈ 32.9.

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umka21 [38]

If each person got 1/6 then there is still 2/6 left over, =1/3. In fraction strips, we would do

                  1

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1/6 1/6   1/6 1/6  1/6 1/6 for the overall tomato and then  1/6 1/6  for the remaining piece of the tomato.

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8 0
3 years ago
Compare square root of one hundred eighty and one hundred two eighths using <, >, or =.
olga2289 [7]

Converting the mixed number to a decimal, the correct comparison of the numbers is given as follows:

\sqrt{180} > \sqrt{100 \frac{2}{8}}

<h3>What is a mixed number?</h3>

A mixed number is represented by an integer part and a fractional part, as follows:

a b/c.

In which:

  • a is the integer part.
  • b/c is the fractional part.

In this problem, the numbers are given as follows:

\sqrt{180}, \sqrt{100 \frac{2}{8}}

The mixed number is:

100 and 2/8 = 100 + 0.25 = 100.25.

The square root is an increasing function, hence the higher the input, the higher the square root, as 180 > 100 the comparison is:

\sqrt{180} > \sqrt{100 \frac{2}{8}}

More can be learned about mixed numbers at brainly.com/question/1746829

#SPJ1

6 0
2 years ago
Write the recurring decimal 0.05 as a fraction in its simplest form
lidiya [134]

Answer:

1/20

Step-by-step explanation:

Step 1: Write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the number of zeros required accordingly.

In this case, 0.05 has two numbers after the decimal, so, we place 100 in the denominator and remove the decimal point. This will make it 5/100

Step 2: Then, this fraction can be simplified. 5/100 = 1/20

Thus, 0.05 as a fraction is written as 1/20

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