(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

Related Questions

Find the value of x
help asap

Answers

Answer:

56 + 56 = 112

180 - 112 = 68

68 + 68 = 136

180 - 136 = 44

x= 44

It’s what the other person saidd

PLEASE HELP!!!! will give brainliest!!!!

Answers

Answer: A Good luck :)

I need help on this subject

Answers

Answer:

D (3,-4)

Step-by-step explanation:

i graphed it on desmos lol

what is the rate and equation

Answers

Answer:

The rate law or rate equation for a chemical reaction is an equation that links the initial or forward reaction rate with the concentrations or pressures of the reactants and constant parameters (normally rate coefficients and partial reaction orders).

Step-by-step explanation:

Find a country located in the temperate zone (USA, Canada, India, Europe Japan, New Zealand etc.) then using their climatic data from a two-year period, complete the following tasks:

a) Find the highest and the lowest temperatures recorded.

b) Use these two numbers to find the amplitude.

c) Find the period of the function.

d) Draw the graph using the Sine or cosine function.

e) What can you infer about the trend of the temperature now?

Answers

Answer:

i dont see what the top part says??

Step-by-step explanation:

What is the product?
3(-10.50)

Answers

Answer: -31. 5

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

The product of the given numbers is -31.5.

The given expression is 3(-10.50).

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.

The product of given whole number and decimal number is as follows:

3×(-10.50)

= -31.5

Therefore, the product of the given numbers is -31.5.

Learn more about the multiplication here:

https://brainly.com/question/1562995.

#SPJ2

find the slope of the linear function ​

Answers

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.

solve 4x^2 - 3 = 3x^2 + 13 by using square roots

Answers

X=4, -4 I think! Hope that helps

Answer:

x = - 4, x = 4

Step-by-step explanation:

[tex]4x^2 - 3 = 3x^2 + 13 \\ \\ 4x^2 - 3 - 3x^2 - 13 = 0 \\ \\ 4 {x}^{2} - 3 {x}^{2} - 16 = 0 \\ \\ {x}^{2} - 16 = 0 \\ \\ {x}^{2} - {(4)}^{2} = 0 \\ \\ (x + 4)(x - 4) = 0 \\ \\ x + 4 = 0 \: \: or \: \: x - 4 = 0 \\ \\ x = - 4 \: \: or \: \: x = 4 \\ \\ x = - 4, \: \: 4[/tex]

Whos your favorite operator in rainbow six seige

Answers

Answer:

It has to be Maverick how about u

Step-by-step explanation:

Answer:

Niclas "Pengu" Mouritzen

Step-by-step explanation:

Can someone help me please with all these pleaseeee

Answers

all of them???
/
/
/
/
/
/
:
sssss

I can do your homework for you

Answers

Answer:

thanks for the free points

Step-by-step explanation:

Answer:

can u answer these ones

Step-by-step explanation:

Write the
following in
slope-intercept
form:
7x - 2y = -6

Answers

y = 7/2x + 3 is the slope-intercept form

2y = 7x + 6 or the simplified version would be y = 7/2x + 3

Step-by-step explanation:

u just gotta know that slope intercept form is the equation y=mx+b

To factor a[tex]x^{2}[/tex]+bx+c, you have to group it as (a[tex]x^{2}[/tex]+ux)+(vx+c) so that uv=ac and u+v=b. Both addition and multiplication are commutative, so how do you determine which value is assigned to u and which to v? Or are they interchangeable?

Answers

Answer: They are interchangeable

For example, let's expand out (x+3)*(2x+1). Use of the FOIL rule should get to you 2x^2 + 7x + 3.

Now imaging that you handed 2x^2 + 7x + 3 to a friend to be factored. They do not know the factorization yet.

They would see that a = 2, b = 7, c = 3.

The friend needs to find two numbers u,v such that they multiply to a*c = 2*3 = 6 and add to b = 7

Through trial and error (I recommend making a table of values), your friend would get

u*v = 1*6 = 6u+v = 1+6 = 7

But as you mentioned, your friend could easily swap the order of addition and multiplication to say

u*v = 6*1 = 6u+v = 6+1 = 7

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

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

2x^2 + 7x + 3

2x^2 + 1x + 6x + 3 ... break up 7x into 1x+6x

(2x^2+1x) + (6x+3) .... group up the terms into pairs

x(2x+1) + 3(2x+1) .... factor each grouping

(x+3)(2x+1) ..... factor out the overall GCF

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

Or we could have the factor by grouping looks like this

2x^2 + 7x + 3

2x^2 + 6x + 1x + 3 ... break up 7x as 6x+1x

(2x^2+6x) + (1x+3)

2x(x+3) + 1(x+3)

(2x+1)(x+3)

(x+3)(2x+1)

We end up with the same factorization.

Simplify to create an equivalent expression

(4+2k)•6+3k=

Answers

Answer:

24+15k=

Step-by-step explanation:

First we multiply the 6 to the numbers in the parentheses, so 4x6=24, and 2x6=12, making the expression look like this: 24+12k+3k=

Then we combine like terms, which would be the number that are attached to 'k'. So that makes the expression look like this: 24+15k=

I'm not sure what else you're suppose to do to create a new expression since there's nothing on the other side of the equal sign, but that's as much as the expression will simplify.

Each month, Mrs. Donovan sets aside $1,550 for her retirement. Her monthly income, including profits from her bakery, totals $3,875. What percentage of her income goes to retiremen

Answers

Answer:

40%

Step-by-step explanation:

1550 / 3875 = 0.4 = 40%

The function f(x) = ( )* is translated up 4 units. Which equation represents the translated function?
g() = (5)***
g(x) = ()
g() = ()' +4
g(x) = (13) -4

Answers

Answer:

c

Step-by-step explanation:

1. What is the slope of a line that is perpendicular to the x-axis ​

Answers

Answer:

The slope of a line that is perpendicular to the x-axis ​is undefined.

Step-by-step explanation:

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

We also know a line that is perpendicular to the x-axis ​is basically a vertical line.As the slope of a perpendicular line is undefined because no matter what the value of y is, the x-value remains the same.

Therefore, the slope of a line that is perpendicular to the x-axis ​is undefined.

For example, the slope between (1, 2) and (1, 4) is:

Using the slope formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                 = [4 - 2] / [1 - 1]

                  = 2 / 0

                  = ∞

Is the equation 72 ÷ 6 = 64 ÷ 4 true or false? (2 points)
True
False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

72/6=12

64/4=16

Directions: Find the value of x.
Round each answer to the nearest tenth.

Answers

Answer:

this answer is not available at the moment

Step-by-step explanation:

Tyesha has x feet of wood for a project. She has lengths of wood that are 7 1/2 feet, 5.25 feet, and 6 3/4 feet long. What is the total length of wood she has for this project?

Answers

i’m guessing to just add up all of those numbers and fractions or whatever they are and get the answer and if that don’t work then i don’t know

If (1/4)^2-y, =1 find the value of y

Answers

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

1/16 - y = 1

Then you subtract 1/16 on both sides

-y = 1 - 1/16

Then subtract 1/16 from 1

-y = 15/16

Then divide by -1 to make y positive

answer —-> y = -15/16

What is the length of segment TR with T(-4,5) and R(2, -1)​

Answers

Answer:

The length of segment TR with T(-4,5) and R(2, -1)​ is 8.49

Step-by-step explanation:

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

The length of segment can be found using distance formula.

The distance formula is: [tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Putting values and finding length

We have: [tex]x_1=-4, y_1=5, x_2=2, y_2=-1[/tex]

[tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance = \sqrt{(2-(-4))^2+(-1-5)^2}\\Distance = \sqrt{(2+4)^2+(-1-5)^2}\\Distance = \sqrt{(6)^2+(-6)^2}\\Distance = \sqrt{36+36}\\Distance = \sqrt{72}\\Distance=8.49[/tex]

We found Distance = 8.49

So, The length of segment TR with T(-4,5) and R(2, -1)​ is 8.49.

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

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

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (0, 0)

Point (5, -10)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m. Slope and gradient is the same.

Substitute in points [SF]:                    [tex]\displaystyle m=\frac{-10-0}{5-0}[/tex][Fraction] Subtract:                             [tex]\displaystyle m=\frac{-10}{5}[/tex][Fraction] Divide:                                [tex]\displaystyle m=-2[/tex]

Answer:

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

[tex]m = \frac{y_ 2 - y_1}{x_ 2 - x_1 } = \frac{( - 10 - 0)}{(5 - 0)} = \frac{ - 10}{5} = \boxed{- 2 }[/tex]

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

Donovan was playing a basketball shooting game in the arcade. He made 15 shots and missed 25 shots. What is the percentage of shots Donovan made in the basketball game?

Do not round your answer.

Thank you for the help :)

Answers

Answer:

r

Step-by-step explanation:

an online company lets you download songs for 1$ each after you have payed a 5$ membership fee the maximum amount of songs you can download in a month is 100 how much do you pay

Answers

Answer:

$105

Step-by-step explanation:

5 + 1 (100)

5 + 100

105

please help me my brain is to small for dis I need da right answer

Answers

Answer:

it is in its simpliest form there are no equivalent expressions because all factors are odd numbers

Step-by-step explanation:

pls give me brainliest

A: 70x+30=20x+50
B: 70x-30=20x-50
C: 70+30x=20+50x
D: (70+30)x=(20+50)x

Answers

it d probably think it's d

The answer wil D hope this helps

A person can bike 48 miles in 2 hours. At this rate how long will it take this person to travel 66 miles? Show work please!!!

Answers

Answer:

Convert to a decimal by dividing the numerator by the denominator.

2.75  hours

please help i’ll mark brainliest

A group of friends hires a bus for a day for
$480, agreeing to share the cost equally. At
the last minute, two more people decide to go
on the trip, and as a result each person pays
$8 less.
How many people go on the trip and how much
does each person pay?

Answers

Step-by-step explanation:

i think 52 people was there cause 8×60=480 and you said that in the last minute two more people decide to go so i added two more and 52 people was the result

Answer:
67.50
Explanation:
First you add 8+8=16
Then 480+16=540
So you divide 540 ÷8=
So each of them pays 67.50$

A beam bridge has a total length of 168 yards. The bridge is supported at both ends and has three additional supports in the water. What is the span between any two consecutive supports?​

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

Arch lies in between two successive supports ;

Hence, the number of archs = 5

Hence, width of arch = (5 * x) = 5x meters

Width of support = 2 meters

The Total width of support : (2 * x+ 1) = 2(x + 1) meters

Hence,  the total distance of bridge :

Total arch width + total support width

5x  + 2(x + 1) = 168 meters

5x + 2x + 2 = 168

7x = 166

x = 23 approx

Hence, the span between any two consecutive supports is 23 approx.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

Other Questions
Jonny makes $15 per hour working at Target. He gets a bonusat the end of the month for $85. This month, he made a total of $685.Write an equation to show how many hours he worked. * Define Commission in your own words Your new job is at the custom t shop, where t-shirts are printed to order. For each order, custom t shop charges $8.00 per shirts plus a one time set up fee for $15.00 Which plants are smaller than earth ? . A flagpole is standing in front of City Hall. Percy, who is standing near the flagpole is 5' tall and casts a shadow 3' long. If the flagpole casts a shadow 36' long, how tall is the flagpole a ferry boat leaves the dock once per hour your waiting time for the next ferry will follow a uniform distribution from 0 to 60 minutes Please give some essay example :c Pls help ASAP!The file is down below. Give brainlist to the best answer Approximately how long does it take for the moon's phases to change from a NEW moon to a FULL moon?1 week3 weeks2 weeks4 weeks Write an inequality for the statement. The sum of a number and nine is less than thirty. Consider the following quadratic equation. f(x) = 9x^2Part A: Write a function, g(x), the shifts f(x) down by 3 units.Part B: Write a function, h(x), that vertically stretches f(x) by 6 units.Part C: Write a function, m(x), that reflects f(x) about the x-axis. Help will mark brainliest A table shows a proportional relationship where k is the constant ofproportionality. The rows are then switched. How does the new constant ofproportionality relate to the original one? * Suppose that for a hypothetical reaction: A2(g) + 3B2(g) 2AB3(g) It is determined that at a certain temperature the equilibrium concentrations are [A2] = 0.0055, [B2] = 0.763 and [AB3] = 7.610-4. Calculate the numerical value of K for the reaction. Multiply 2ab(a+2b+3).2a2b+4ab2+6ab8a2b22a +2ab+3b8ab Determine the type of function each table represents. Write linear, exponential, or neither.Two-way table with x-values 0, 1, 2, 3, 4 and y-values 0, 1, 4, 9, 16 [ Select ]Two-way table with x-values 0, 1, 2, 3, 4 and y-values 1/3, 1, 3, 9, 27 [ Select ]Two-way table with x-values 0, 1, 2, 3, 4 and y-values 5, 5/2, 5/4, 5/8, 5/16 [ Select ]Two-way table with x-values 0, 1, 2, 3, 4 and y-values 4.5, 4, 3.5, 3, 2.5 [ Select ] Identify the correct corresponding parts What is an example of a eukaryotic cell? What two mandates did the Affordable Care Act incorporate?