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Anit [1.1K]
3 years ago
15

Select "Rational" or "Irrational" to classify each number.

Mathematics
2 answers:
eduard3 years ago
6 0
1. Rational.
2. Irrational (famous for being irrational).
3. Rational.
4. I think this is irrational.
Sati [7]3 years ago
3 0

Rational: A number is rational if it can be written in the form of p/q, where q≠0, and it is terminating if q is of the form 2^{m} or 5^{n} or 2^{m} \times 5^{n} where m and n are whole numbers or non terminating repeating.

Irrational number: A number which can't be written in the form of p/q, i.e the number after decimal does not terminates.It is non terminating repeating.

1. 2/3 =0.66666...(non terminating repeating)   = Rational

2. π  =3.14159 26535 ........(non terminating non repeating)=Irrational

3.√400 =20 (terminates)=Rational

4. 36√2 = as √2=1.414.....(non terminating non repeating)=Rational×Irrational=Irrational

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What is Question I (if m<EBF = 117°, fine m<ABE)​
Natasha_Volkova [10]

Answer:

m∠ABE = 27°

Step-by-step explanation:

* Lets look to the figure to solve the problem

- AC is a line

- Ray BF intersects the line AC at B

- Ray BF ⊥ line AC

∴ ∠ABF and ∠CBF are right angles

∴ m∠ABF = m∠CBF = 90°

- Rays BE and BD intersect the line AC at B

∵ m∠ABE = m∠DBE ⇒ have same symbol on the figure

∴ BE is the bisector of angle ABD

∵ m∠EBF = 117°

∵ m∠EBF = m∠ABE + m∠ABF

∵ m∠ABF = 90°

∴ 117° = m∠ABE + 90°

- Subtract 90 from both sides

∴ m∠ABE = 27°

4 0
3 years ago
Read 2 more answers
In the right triangle below, an altitude is drawn to the hypotenuse. Solve for x.
svet-max [94.6K]

Answer:

x = 3√7

Step-by-step explanation:

From the right triangle given in the picture,

Altitude or height of the triangle (AD) = x

Base or hypotenuse of the given triangle (BC) = 16

Length of segment BD = 16 - 7 = 9

By using geometric mean theorem in the given triangle,

\frac{AD}{BD}=\frac{DC}{AD}

(AD)² = (BD)(CD)

x² = 9×7

x = √63

x = 3√7

4 0
3 years ago
A cyclist estimates that he will bike 80 miles this week. He actually bikes 75.5 miles. What is the percent error of the cyclist
maw [93]

Answer:

<em>The percent error of the cyclist's estimate is 5.63%</em>

Step-by-step explanation:

<u>Percentages</u>

The cyclist estimates he will bike 80 miles this week, but he really bikes 75.5 miles.

The error of his estimate in miles can be calculated as the difference between his estimate and the real outcome:

Error = 80 miles - 75.5 miles = 4.5 miles

To calculate the error as a percent, we divide that quantity by the original estimate and multiply by 100%:

Error% = 4.5 / 80 * 100 = 5.625%

Rounding to the nearest hundredth:

The percent error of the cyclist's estimate is 5.63%

5 0
2 years ago
32% of 1600 = 512
yaroslaw [1]

Answer:

  • 64%: 1024
  • 96%: 1536
  • 132%: 2112
  • 232%: 3712

Step-by-step explanation:

<u>64% of 1600</u>

  64% of 1600 = 2 × (32% of 1600) = 2×512

  64% of 1600 = 1024

<u>96% of 1600</u>

  96% of 1600 = 3 × (32% of 1600) = 3×512

  96% of 1600 = 1536

<u>132% of 1600</u>

  132% of 1600 = (100% of 1600) + (32% of 1600) = 1600 + 512

  132% of 1600 = 2112

<u>232% of 1600</u>

  232% of 1600 = (100% of 1600) + (132% of 1600) = 1600 +2112

  232% of 1600 = 3712

3 0
3 years ago
Read 2 more answers
Find the product.<br><br> (8-3z)(8+3z)
maks197457 [2]

Step-by-step explanation:

you can open the file I gave you now. the answer is there

7 0
3 years ago
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