(a) The diagram shows a circle, centre 0. AB and CD are chord.
Given that OM = 8 cm, NT = 3 cm, AB = 30 cm.

(1) Calculate the radius
(2) Calculate the length of CD​

(a) The Diagram Shows A Circle, Centre 0. AB And CD Are Chord.Given That OM = 8 Cm, NT = 3 Cm, AB = 30

Answers

Answer 1

Answer:

1) Radius = 17 cm

2). CD = 19.3 cm

Step-by-step explanation:

1). O is the center of the given circle.

 By joining the center and point A located at the circumference of the circle,

 OA = radius of the circle.

 Length of chord AB = 30 cm

 "Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"

  By the given property, OM equally divides the chord AB.

 AM = MB

 AM = [tex]\frac{1}{2}(AB)[/tex]

 AM = [tex]\frac{10}{2}[/tex] = 5 cm

 By applying Pythagoras theorem in ΔOAM,

 AO² = OM² + AM²

 AO² = 8² + 15²

 AO =  √289

 AO = 17 cm

 Therefore, radius of the circle = 17 cm

2). Since, OT, OC and OA are the radii of the given circle,

  OT = OC = OA = 17 cm

  ON = OT - NT

         = 17 - 3

         = 14 cm

   By applying Pythagoras theorem in ΔOCM,

   OC² = ON² + CN²

   17² = 14² + CN²

   CN = [tex]\sqrt{(17^2-14^2)}[/tex]

         = [tex]\sqrt{93}[/tex]

         = 9.64 cm

     Since, CD = 2(CN)

      CD = 2 × 9.64

             = 19.29 cm

              ≈ 19.3 cm

(a) The Diagram Shows A Circle, Centre 0. AB And CD Are Chord.Given That OM = 8 Cm, NT = 3 Cm, AB = 30

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Answers

Answer:

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Step-by-step explanation:

We need to find the length of segment TR with T(-4,5) and R(2, -1)​

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Answers

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Step-by-step explanation: Hope this helps! Next time search to make it easier for you ;)

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What is multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

We know that the x-axis is a horizontal line.

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Answer:

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Answers

Answer: They are interchangeable

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

If we go with the first option, then the factor by grouping looks like this

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

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Answers

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

First you need to do square 1/4, which equals 1/16

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Answers

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Step-by-step explanation:

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Answers

Answer:

[tex]\displaystyle m=-2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

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Step-by-step explanation:

Step 1: Define

Point (0, 0)

Point (5, -10)

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Let "m" be the slope of the line passing through the point.

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-2 is the gradient of the line that passes through the points (0,0) and (5,-10).

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Answer:

that one over there

Step-by-step explanation:

Answer:

2/3 = slope

Step-by-step explanation:

Slope is rise over run. If you look at (3,1), to go to the next point, it goes up 2 (rise) and right 3 (run). so 2/3 would be the slope.

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Answers

The answer is 6

Step-by-step explanation:

6-65

The  total length of a beam bridge is 168 yards. then the span between any two consecutive supports is 23 approx.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given that the total length of a beam bridge is 168 yards.

The Total number of supports on the bridge = 1 at both end + 3 additional = (1 + 3 + 1) = 5 supports

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Hence,  the total distance of bridge :

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Answer:

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It’s what the other person saidd

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Answer:

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Step-by-step explanation:

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