(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

The sum of two numbers is 120. Three times
their difference is 48. What are the numbers?
TERS A.5(C) A.1(A), A1(B)
F. 16, 120
G 36, 52
H 52,68
J 68, 84
Pleasss help thank you :)

Answers

Answer:

The answer is 68 and 52

Step-by-step explanation:

x + y = 120

3(x - y ) = 48

We have 3x + 3y = 360

and 3x - 3y = 48

Adding we have the following:

6x = 408

x = 68

y = 120-48 = 52

Does this table represent a proportional relationship?

A) Yes
B) No

Answers

Answer:

a

Step-by-step explanation:

it is all doubles

A is the correct answer


HURRY I NEED THIS IN 20 mins please help me

Write an equation for the function g whose graph is the graph off
f(x) = -100(1.05)
translated to the right 5 units and up 50 units.

Answers

Answer:

f(x) = -100(1.05)^(x+5) + 50

Step-by-step explanation:

Here, we want to write an equation that represents the transformation

5 units right means 5 units on the positive x-axis

50 units up means we add this to the total y value

So the resulting equation will be;

f(x) = -100(1.05)^(x+5) + 50

need help with this




just focus on what the question asks and not the background

Answers

Answer:

A

Step-by-step explanation:

a drop means subtraction and rising means addition

0.75(8+e)=2-1.25e
Solve for e please

Answers

Answer:

12 1314

Step-by-step explanation:

i guess this should be the abswer

Answer: e = -2

Step-by-step explanation:

first, i removed the parentheses.

6 + 0.75e = 2 - 1.25e

then, i moved the terms.

0.75 e + 1.25e = 2 - 6

next, i collected the like terms and calculated them.

2e = -4

finally, i divided both sides.

e = -2

Jimmy is eating appetizers that have 120 calories each. He only plans to eat 550 calories overall.
Write an inequality and determine the most appetizers he can eat without exceeding the limit.

Answers

Answer:

4

Step-by-step explanation:

Jimmy is eating appetizers that

have 120 calories each. He only

plans to eat 550 calories overall.

Write an inequality and determine

the most appetizers he can eat

without exceeding the limit.

He can eat 4.

The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.

Answers

Answer:

16.69 cm³

Step-by-step explanation:

In finding the volume of the cylinder without the prism you find the volume of the cylinder assuming it has no prism in it then minus the volume of the prism

Volume of the cylinder assuming there is no prism through it

V=πr²h  where r is radius of the cylinder and h is height of the cylinder

Given that diameter = 2, then r= 1 cm  and height, h = 6cm

V= π * 1 * 1 * 6

V= 18.85 cm³

Volume of the rectangular prism

V= l*w*h

V= 6*0.6*0.6

V= 2.16 cm³

The volume of the cylinder without the prism

18.85 cm³-2.16 cm³ = 16.69 cm³

Answer:

Not an answer

Step-by-step explanation:

A triangle has a perimeter represented by the expression 9x + 7


A square has a side length represented by 4x – 3.




Which expression represents the total perimeter of the two figures?


A) 20x

B) 4x2 + 9x – 5

C) 13x + 4

D) 25x – 5

Answers

Answer:

D. 25x-5

Step-by-step explanation:

you need to add all the sides of the square to get 16x-12 and then add 9x+7 to get D.

I really help with this ill mark u brainliest pls

Answers

Answer:

[tex] m\angle XYW = (155 - 20x

)\degree [/tex]

Step-by-step explanation:

[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\

150\degree = m\angle XYW +(20x-5)\degree \\\\

150\degree - (20x-5)\degree = m\angle XYW \\\\

(150 - 20x

+5)\degree = m\angle XYW \\\\

(155 - 20x

)\degree = m\angle XYW \\\\

m\angle XYW = (155 - 20x

)\degree \\\\

[/tex]

3 which number line best represents 2÷1/4​

Answers

Answer:

the second choice

Step-by-step explanation:

2 has to be divided into 8 parts in total which is shown by option B

When randomly choosing two bills from a cup of bills that contains a dollar bill a two dollar bill a $5 bill a $10 bill and $20 bill and a $50 bill what is the probability of choosing a $20 bill and a $10 bill?

Answers

Answer:

The answer is 1/36

Step-by-step explanation:

Step one:

Given data

sample space= $1, $2,$5,$10,$20,$50

sample size= 6

Required

The probability of choosing 20 and 10 dollar bill

Step two

The probability is

1/6*1/6= 1/36

Make a graph that matches the rule y=2x – 3.

(Need help ASAP)

Answers

Answer:

Answer in image below :)

Step-by-step explanation:

Find the average rate of change
f(x)=x^2−6x+8 when x2=1 and x1=3

Answers

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

Given function is:

[tex]f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3[/tex]

In order to find the rate of change, we have to find the value of function on x1 and x2

So,

[tex]f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3[/tex]

The formula for finding the rate of change is:

[tex]Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

Putting the values, we get

[tex]=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2[/tex]

Hence,

Average rate of change for given function is: -2

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

how to do area for this problem​

Answers

the answer is 568 in in degrees tysm

find the value of the expression below x=2 3x​

Answers

x=2
So that would mean
3(2)=6
Hope this helps have a good day! :)


Copy the expressions which are polynomials. Give reasons why the remaining are
not polynomials.
a)3x-2
b)p^2+1/p
c3y^2-2y/3+1

Answers

Answer: a and c are polynomials, b is not.

Step-by-step explanation:

A polynomial p(x) is written as:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰

where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.

Notice that the powers need to be always natural numbers.

Now, let's analyze the options:

a) 3*x - 2

We can rewrite this as:

3*x¹ - 2*x⁰

Then this is a polynomial.

b) p² + 1/p    (in this case the variable is p)

the second term can be written as:

1/p = p⁻¹

Then we have a term with a negative power of p, this means that this is not a polynomial.

c) 3*y² - 2*y/3 + 1

Same as in the first case, we can rewrite this as:

3*y² - (2/3)*y¹ + 1*y⁰

This is a polynomial.

10. What is the value of xin the equation below?
4
2
+
7
2

Answers

2/x + 1/7 = 4/x

2/x + 4/x = -1/7 move the terms

Transform the expression

-2/x =-1/7 change the signs

2/x = 1/7 cross multiply

Final answer X= 14

PLZ HELP WILL MARK BRAINLEST work out both

Answers

Answer:

3*6+5= 23

Step-by-step explanation:

1.) 3•6+5
18+5
23

2.) 7^2-18/3
49-6
43

plz help, I need help

Answers

Answer:

Answer is A

Step-by-step explanation:

because 2 × $11.50 is for adult tickets

$8 × 4 is for childrens tickets

and the equation would represent the total cost

Which graph has a slope of -3?

Answers

D.

Its the only one going down 3 and over 1.

The answer would be D because it says -3 and not just 3.

Which of the following is not a geometric tool?

A.Compass
B.Pen
C.Protractor
D.Set Squares

Answers

Answer:

C. Protractor

Answer:

A

Step-by-step explanation:

A compass is for directions.

Find the value of x

Answers

Step-by-step explanation:

By Exterior Angle Theorem, the sum of the 2 inner angles of the triangle is equal to the exterior angle by a straight line.

Therefore we have x + 72° = 90° + 34°.

=> x + 72° = 124°, x = 52°.

Hence the value of x is 52°.

The value of x would be 52 degrees

Hope this helps

Have a great day/night

lines m and n are parallel. what is the measure of angle 4?
a) 25 degrees
b) 55 degrees
c) 115 degrees
d) 145 degrees

Answers

it is B because 180-125 is equal to 55
The answer is B. 55 degrees

The length of a rectangular park is twice its width.
The park is surrounded by a 3-foot-wide path.
Write a quadratic function to represent the total
area of the park and the path.

Answers

Answer:

[tex]A=2x^2+18x+36[/tex]

Step-by-step explanation:

Quadratic Function

It's given the length of a rectangular park is twice its width.

Let's call:

x = width of the rectangular park

2x = length of the rectangular park

The park is surrounded by a 3-foot-wide path. This path adds 3 ft twice to both dimensions, i.e.:

x+3+3=x+6 width of the park and the path

2x+3+3=2x+6 length of the park and the path

The total area is:

A=(x+6)(2x+6)

Operating:

[tex]A=2x^2+6x+12x+36[/tex]

[tex]\boxed{A=2x^2+18x+36}[/tex]

3x² ×2x³

help please

Answers

6x to the 5th power
Answer: 6x^5 or [tex]6x^{5}[/tex] _______________First multiply the factors without the variables, three and two.3 * 2 = 6_______________Then once again add the variables.6x _______________Next you add the square roots together.2 + 3 = 5_______________Once you've added the square roots add them back to the 6x to make.6x^5 or [tex]6x^5[/tex]_______________

Hope you have a good day!〜

Also please tell me if I'm wrong or not...

Also also if I'm right can I please have Brainliest?

.

2. 4x + 5y = -30
Slope-standard form

Answers

Y=mx+c is the slope standard form
5y=-30-4x
5y=-4x-30
Y=-4/5x-6

A company has offices in 3 different cities and a rotal of 480 workers there are 90 workers in newyork and 130 workers in denver the rest of the workers are in san diego

Answers

Answer:

Workers in San Diego = 260 workers

Step-by-step explanation:

Total workers = 480

Number of offices = 3

In each office in different cities

New york = 90 workers

Denver = 130 workers

San Diego = x workers

Find x

Total number of workers = workers in New York + workers in Denver + workers in San Diego

480 = 90 + 130 + x

480 = 220 + x

480 - 220 = x

260 = x

x = 260 workers

Workers in San Diego = 260 workers

Answer:

Step-by-step explanation:

250

19/10 equals x - 23/6


Please help me quickly!!!

Answers

Answer:

7 17/60

Step-by-step explanation:

you do 6x10 witch is 60 then you do 19 x 23 witch is 437 then divide that by 60 and that is 7 and you have 17 leftover

Which price is equivalent to $1.50 for 1 pound of apples?


A.. 6 pounds of apples for $9


B..8.5 pounds of apples for $9


C..9 pounds of apples for $9


D..13.5 pounds of apples for $9

Answers

A. 6 pounds of apples for $9
9/6=1.5=$1.50 per pound

PLEASEE HELP ASAP IM BEGGIMG YOUUUUUU
I WILL GIVE BRAINLIEST ASAP

Answers

Answer:

Below

Step-by-step explanation:

Problem 1

Blank 1 = 6

Blank 2 = 17

(5*3)+2

Blank 3 = 4

(4*1)

Problem 2

Blank 1= (-5)^3=-5*-5*-5=-125

Blank 2= 18

(6*3)

Blank 3= 12

(4*3)

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