A,C and D are points on a circle of radius 4 cm, centre o. BA and BC are tangents to the circle. OB=10cm work out the length of arc ADC. give your answer correct to 3 significant figures

A,C And D Are Points On A Circle Of Radius 4 Cm, Centre O. BA And BC Are Tangents To The Circle. OB=10cm

Answers

Answer 1

Answer:

Step-by-step explanation:

OB = 10 cm

OA = OC = Radius = 4 cm

COS <AB = OA/OB = 4/10 = 2/5 =

COS< COB = OC/OB = 4/10 = 2/5

=> <AOC = <AOB + <COB

=> <AOC = Cos-¹(2/5) + Cos-¹(2/5)

=> <AOC = 2 Cos-¹(2/5)

=> <AOC = 2 * 66.42

=> <AOC = 132.84°

if D is in minor arc then length of arc ADC. = ( 132.84°/360°) 2π = 9.274 cm

if D is in major arc then length of arc ADC. = ((360° -132.84°)/360°) 2π = 15.859 cm


Related Questions

Which expression is equivalent to 5 (h + 9)?

Answers

Answer:

5(m+9) = 5m+25

Answer:

5(m+9) = 5m+25

Step-by-step explanation:

durrrrrrrrrrrrrrr

[tex]\frac{x^{2} }{3x^{2}+8x-3 } divided \frac{x-3}{x+2}[/tex]

Answers

Answer:

ddsdvffgdf gddccd fddf

Are the lines parallel? y = x + 4 and y = x-2

A. yes, they have the same slope and a different y-intercept
B. no, they are not parallel​

Answers

Answer:

A

Step-by-step explanation:

Remember that parallel lines have the same slope.

The y-intercept does not matter.

We have the two equations:

[tex]y=x+4[/tex]

And:

[tex]y=x-2[/tex]

The slope is the coefficient in front of the x.

In the first equation, we can rewrite it as:

[tex]y=(1)x+4[/tex]

Therefore, the slope of the first equation is 1.

Similarly, for the second equation, we can rewrite it as:

[tex]y=(1)x-2[/tex]

The slope of the second equation is also 1.

Therefore, since their slopes are equivalent, they are parallel.

Thus, our correct answer is A.

△PQR is rotated 180° about the origin. What is the coordinate for Q' ?



(3, 2)


(2, -3)


(-3, 2)


(-2, 3)

Part: 2

△PQR is reflected across the y-axis. What is the coordinate for R' ?



(-3, -4)


(-4, 3)


(4, -3)


(3, 4)

Answers

Answer:

Part 1:

Q’ = (2, -3)

Part 2:

R’ = (-3, -4)

Hope this helps!

Jay bought a painting on sale for 45% off the original price, for $27. What was the price of the painting before the sale?

Answers

Answer:

 0.55x = $27

Step-by-step explanation:

Let the price of the painting = x

x - 45% of x = $27

    x - 0.45x = $27

         0.55x = $27

Divide both sides by 0.55

 0.55x/0.55 = $27/0.55

                  x = $49.09

if 3n-4=8 then what is the value of 5n-3 ​

Answers

Answer:

17

Step-by-step explanation:

Given

3n - 4 = 8 ( add 4 to both sides )

3n = 12 ( divide both sides by 3 )

n = 4

Thus

5n - 3 = 5(4) - 3 = 20 - 3 = 17

6(x-2=4(x+3) what does x equal

Answers

Hey mate here is your answer.

6(x-2) = 4(x+3)

6x-12 = 4x + 12

6x - 4x = 12 + 12

2x = 24

x = [tex] \frac{24}{2} [/tex]

x = 12

Drag numbers to complete the table for missing values of x, x2, and x3.

Answers

Answer:

Values are:

x x²

10 100

5

What Eva the person on top said is rightly

if the sides of a rectangle are 12 and 15, then the diagonal is

Answers

Answer:3x41 squared

Step-by-step explanation:

find the coordinates of the midpoint of a segment with the given endpoints 3.)P(-12 -9) Q(2,10) help plz ​

Answers

Answer:

(-5, 0.5)

Step-by-step explanation:

-12+2/2= -5

-9+10/2= 0.5

(-5, 0.5)

Jayvon has 33.6 points in a competition. He loses 5.5 points,
Write and then evaluate an addition expression to determine Jayvon's current points.

Answers

Answer:

33.6+(-5.5)=28.1

Step-by-step explanation:

Since positive times negative is equal to negative, we can multiply -5.5 by an addition symbol, making it an addition problem, and making it the same expression.

To evaluate the expression, we can do 33.6-5.5.

When adding or subtraction decimals, write it stacked like a normal problem, and line up the decimal places, like so.

33.6-

 5.5

Then you can subtract normally, getting 28.1

Which point lies on the graph of the function shown below y=-x^2+5x-3

A.(1,4)
B.(0,3)
C.(2,3)
D.(-2,2)

Answers

Answer:

C: (2,3)

Step-by-step explanation:

to solve this algebraically just plug in the x and y values of the points and see if they are true, but here is the graph to juse show you

Please help me with this. This is my last one and when you are answering PLEASE SHOW STEPS FOR BRAINSLT. THIS IS DUE TOMORROW

Answers

X= -2

Explanation: the photos are in order :)

Answer:

x = -2

Step-by-step explanation:

3/5 +3/10x = 4/5 + 2/5x

Step 1. Change every fraction into the same denominator

6/10 + 3/10 x = 8/10 + 4/10x

Step 2. Subtract 3/10x

6/10 = 8/10 + 1/10x

Step 3. Subtract 8/10

-2/10 = 1/10x

x = -2

HELPP!!!
Question 8 of 19
What is an equation that can be used to solve the proportion?
8/15 = x/6

A. 90x = 8
B. 15x = 48
C. 48x = 15
O D. 8x = 90

Answers

8/15 = x/6

Using cross multiplication let us find the value of x .

= 15 × x = 6 × 8

= 15x = 48

= x = 48 ÷ 15 ( transposing ×15 from LHS to RHS changes ×15 to ÷+5 )

= x = 3.2

Therefore , the equation that can be used to solve the proportion :-

B. 15x = 48

Answer:

its B

Step-by-step explanation:

Shannon's little brother is 7 weeks old. She is exactly
3 years and 3 days older than he is. How old is Shannon in days?
Assume that a year is 365 days.

Answers

Answer:

1147 days

Step-by-step explanation:

3x365= 1095

7x7=49

1095+49+3=1147

So 7 weeks is 49 days right? So know we need to figure out how many days are in three years. (365 times 3) the answer is 1,095. Add that to 49. The answer is 1,144. Add three. The answer is 1,147.

Two pounds of grapes cost $6. How many pounds of grapes can
you get for $1? (hint: write a repeating decimal as a fraction)

Answers

Answer:

1/3 of a pound .333

Step-by-step explanation:

6/2 =3

1/3= .333

Answer:

1/3 to 1 and 1 to 3

Step-by-step explanation:

Two integers have a difference of 18 and a sum of 2. What is the product of the two integers?

Answers

Answer:

the product of the two integers is -80

Answer:

-80

Explanation:

it was on a mathcounts competition

What is the location of H' after the image is rotated 180 degrees?

Answers

Answer:

The answer is B

Step-by-step explanation:

If you were to rotate the shape 180* it would turn 2 times leaving the point "H" at (5, -3)

i just need some help on a few math questions. i'm very bad at math sorry :(

Answers

Answer:

Q1) D

Q2) A

Q3) A

Q4) I'm sorry I can't figure this one out

Q5)2.7

Step-by-step explanation:

X=square root of y + 1 / y_ 2
Make y the subject.
Can you please solve it..

Answers

Answer:

I think is c

Step-by-step explanation:

What is the average rate of change in height over the entire 5 seconds?

Answers

Answer:“To get the average rate of change between 2 points...” To get the average rate of change between 2 points, plug in their coordinate values into the equation (y2-y1)/(x2-x1). The values come from the points (x1,y1) and (x2,y2).

Step-by-step explanation:

PLZ HELP ME
In 2001, gold was priced at (0.5x + 300) dollars per ounce. Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to 2 3 of the price in 2011.
• Write an expression for the price of gold per ounce in 2016.
• Explain how you found the expression.

Answers

Answer:

[tex]2x + 1200[/tex]

Step-by-step explanation:

[tex].5x + 300 \\ 3(.5x + 300) = 1.5x + 900\\ 2(1.5x + 900) = 3x + 1800 \\ \frac{2}{3} (3x + 1800) = 2x + 1200[/tex]

Each new line represents the change stated in the question.

Which of the following equations demonstrate the multiplication property of equality for the equation x = 2? Check al
that apply.
x(3) = 2(4)
x(5) = 10
11.5) = 2(2)
x(0.5) = 2(0.5)
x(12) = 12

Answers

Answer:

the 2nd and 4th i think

Step-by-step explanation:

Hi!
I’m pretty sure the answer would be
x(5) =10.

I need help with this please


lx+ 11 l< 17

Answers

The correct answer would be any number between 0 and 6 (but not including 6) because this would satisfy the terms that it must be less than 17!

For example, |2 + 11| = 13, which is less than 17.

Answer:

x<6 should be the correct answer

Add my snaq k1nglean if anyone wants to ttrade you gotta be 16+​

Answers

Alright waittt trade picsss omgggg this is a school website I’m just playing with you

plz i need help -8 = p -5

Answers

the answer is p = -3

4

rtbnjtfbu7yhjujkuf. ,i

1.

p: you pass the class

q: you go to the next grade

p -> ~q:_______________________________



~p->~q:_______________________________

Answers

Answer:

P is you pass the class, so it's the hypothesis in the conditional. And Q is the conclusion, which ic you got to the next grade.

Step-by-step explanation:

In order to got to the next grade, you need to pass the class.

or

If you pass the class, you go to the next grade.

which two ratios quantities that are proportional
A. 9/5 and 19/10
B. 25/25 and 20/24
C. 4/6 and 10/16
D. 15/10 and 21/14

Answers

Answer:

A

Step-by-step explanation:

9/5 and 19/10 so yeah hope it helps

Answer:

C. 15/10 and 21/14

Explanation:

A P E X

What is the equation of the line that is parallel to the line y = 2x + 6 and goes through point C (8, 1)?

Answers

Answer:

y=2x-15

Step-by-step explanation:

In parallel lines the gradient is always the same. then we sub the coordinates in to find c.

so

1=2(8)+c

c equals to -15 t

then

y=2x-15

help show work
assig 8
(a)solve the inequality
(b)graph the solution on the real number line.
(c)write the solution in interval notation.
29
30
31
32
33

Answers

Answer:  see below

Step-by-step explanation:

29) -5x ≥  30

    ÷ -5 ↓ ÷ -5

        x  ≤ -6

Graph:       ←--------- ·

                            -6

Interval Notation: (-∞, 6]

30) -4x <  -40

    ÷ -4 ↓ ÷ -4

        x  >   10

Graph:       o---------→

                10

Interval Notation: (10, ∞)

31) 2x - 5 ≥  -11

         +5    +5

     2x      ≥  -6

    ÷ 2       ÷ 2

        x   ≥   -3

Graph:       · ---------→

                -3

Interval Notation: [-3, ∞)

32) 8 - 3x > 20

    -8         -8

        -3x >  12

     ÷ -3  ↓ ÷ -3

          x  <  -4

Graph:       ←---------o

                            -4

Interval Notation: (-∞, -4)

33) 4x - 11 < 7x + 4

    -7x       -7x      

   -3x  - 11  <   4

          + 11   +11    

   -3x       <    15

 ÷ -3      ↓ ÷ -3

         x  >    -5

Graph:       o---------→

                  -5

Interval Notation: (-5, ∞)

Other Questions
The school lost and Found is a busy place. Many children are there looking at the______items.1. Unclaimed 2. Claimed 3. Declaimed 4. Reclaimed Name for each compoud1.CO2.H2SO43CaCO34 H2025NaF find the cube of 2.9 Which empire's invasion did Chandragupta Maurya help to defeat? the Turkish empire the Greek empire the Chinese empire the Egyptian empire Multiply. 2(4)(3)(5) 120 4 4 120 How are lines KL and MN related?O The lines intersect at point K.O The lines are parallel.O The lines are perpendicular.O The lines do not have slopes, What is the hypothesis in this conditional statement?If it is the holiday season, then the post office is crowded. 1. It is the holiday season 2. The post office is crowded 1. Discuss some of the accomplishments of the Tesla Roadster during the past 2 years.just list some of the accomplishments plz Enter the correct answer in the box by replacing the values of m and b. A 5000 seat theater has tickets for sale at 26 and 40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of 153800. Valerie runs track and field. At meets, Valerie lkes to buy protein bars, bananas and sports drinks Protein bars are $1. bananas are S0.50, and sports drinks are S2. Valerie has S10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars. Let represent the number of protein bars. represent the number of bananas. and represent the number of sports drinks that Valerie buys. Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p Find the value of x and measure of 33=2x+76=6x+21 PLEASE HELP NO ONE HELPING ONGWhich panda will weigh more at 5 weeks?Write the equation for each panda. Ethan builds two different kinds of chairs, rockers and swivels. It takes him 3 hours to build a rocker and requires 2 oz of stain. It takes him 2 hours to build a swivel chair and requires 8 oz of stain. Ethan has 56 oz of stain available and he can only work up to 24 hours. He makes $12 profit on each rocker and $10 profit on each swivel chair. 1. Since there cannot be negative chairs, create two constraints to represent this. 2.Create a constraint for the hours it takes to build the chairs. 3. Create a constraint for the stain it takes for the chairs. PLEASE HELP Where does a carnivore directly get its energy from? Can someone plz plz help me with the last 2 problems #5 and #6 how can you tell that the yeti crabs are thriving? The harappan civilization was known for An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on the number of engines made. If engines are made, then the unit cost is given by the function . What is the minimum unit cost?C(x)=x^2-520x+73458 Write each equation/inequality in slope-intercept form.y- 5 = 1/3 (x-6)