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Brut [27]
3 years ago
13

Which numbers are irrational? Select each correct answer. 101 − − − √ 101 2.25 − − − − √ 2.25 − 4 √ −4 5 √

Mathematics
1 answer:
stepan [7]3 years ago
5 0
All Real Numbers that are NOT Rational Numbers; cannot be expressed as fractions, only non-repeating, non-terminating decimals −√2 , −√5 3 , √21, √81 3 , √101 
 *Even roots (such as square roots) that don’t simplify to whole numbers are irrational.
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Answer:

[0, infinity)

Step-by-step explanation:

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2 years ago
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1. Assume O P || NM.
ipn [44]

1. Assuming OP || NM, considering the triangle proportionality theorem possible measurements for the segments are: ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units

2. The possible values are decided by assuming  \frac{ON}{LO} = \frac{PM}{LP} = 3 using the triangle proportionality theorem.

3. Another method is applying the AA Similarity Theorem to compare corresponding side lengths of the triangles that are proportional to each other.

<h3>What is the Triangle Proportionality Theorem?</h3>

Triangle proportionality theorem states that if a line is parallel to one of the sides of a triangle intersects two of the other two sides, it divides the two sides into proportional corresponding segments.

1. Assuming that OP || NM, we would apply the triangle proportionality theorem to have the following ratio:

\frac{ON}{LO} = \frac{PM}{LP}

Using the above ratio, we can choose the following possible lengths for the segments:

ON = 3 units

LO = 1 unit

PM = 6 units

LP = 2 units

2. The values are decided assuming that the ratio, \frac{ON}{LO} = \frac{PM}{LP} = 3

This means that the ratio of the proportional segments, irrespective of the their measurement should give you an assumed equal ratio of 3:1.

Therefore, since:

\frac{3}{1} = 3\\\\\frac{6}{2} = 3

The measurements, ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units are therefore possible measurements.

3. Using the AA Similarity Theorem to prove that ΔLPO ≅ ΔLMN, the corresponding sides of both triangles will be proportional.

LP/LM = LO/LN = PO/MN

We can use this to choose possible measurements while assuming a ratio between the proportional sides of both triangles.

Let's assume that: LP/LM = LO/LN = PO/MN = 1/4

Let,

LO = 1 unit

LN = 4 units

Therefore, ON = LN - LO = 4 - 1 = 3 units.

Same way the other possible measures can be gotten provided a ratio is assumed.

Learn more about triangle proportionality theorem on:

brainly.com/question/24804474

4 0
2 years ago
Use a trigonometric identity to find the indicated value in the specified quadrant.
aleksandr82 [10.1K]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2782751

_______________


Cosine and secant functions are reciprocal, which means

\mathsf{sec\,\theta=\dfrac{1}{cos\,\theta}}


So, if  \mathsf{cos\,\theta=\dfrac{3}{8},}  then

\mathsf{sec\,\theta=\dfrac{1}{~\frac{3}{8}~}}\\\\\\&#10;\mathsf{sec\,\theta=\dfrac{8}{3}\qquad\quad\checkmark}


I hope this helps. =)


Tags:   <em>cosine secant cos sec relation reciprocal trig trigonometry</em>

7 0
3 years ago
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