BC and DE are tangents to this circle. Work out the size of angle 0. Give reasons for your answer. A 52° B O D 27° E 0 C Not drawn accurately BC and DE are tangents to this circle . Work out the size of angle 0 . Give reasons for your answer . A 52 ° B O D 27 ° E 0 C Not drawn accurately​

BC And DE Are Tangents To This Circle. Work Out The Size Of Angle 0. Give Reasons For Your Answer. A

Answers

Answer 1

Answer:

Θ = 39°

Step-by-step explanation:

OA = OB ( radii of the circle ) , then

Δ AOB is isosceles with base angles congruent , that is

∠ ABO = ∠ BAO = 52°

the exterior angle of a triangle is equal to the 2 opposite interior angles.

∠ DOB is an exterior angle of the triangle , so

∠ DOB = ∠ ABO + ∠ BAO = 52° + 52° = 114°

the angle between a tangent and the radius at the point of contact is 90°, then

∠ OBC = ∠ ODE = 90°

the sum of the 4 interior angles of quadrilateral OBCD = 360°

∠ OBC + ∠ DOB + ∠ ODC + ∠ BCD = 360°

90° + 114° + (90 + 27)° + Θ = 360°

90° + 114° + 117° + Θ = 360°

321° + Θ = 360° ( subtract 321° from both sides )

Θ = 39°


Related Questions

If 5 hours at a computer terminal costs $25, what is the cost of 6 hours?

A. $30
B. $45
C. $150
D. $12

Answers

Answer:

30 dollars

Step-by-step explanation:

25/5 = 5 dollars per hour

so 6 hours would be 5 * 6 = 30 dollars

Answer:

It would be B

Step-by-step explanation:

First, we need to find out the unit rate

5/25=1/5

Therefore, that means in one hour the cost would be $5

Since you are going from one hour to 6 hours you need to multiply both numbers by 6

Since 5x6=30, it would be 30$ :)

Determine the measure of each indicated angle.

Answers

Answer:

∠ABC =   52°

∠BCA =  48°

∠CAB = 80°

Step-by-step explanation:

Angle sum property of triangle: Sum of all the angles of a triangle is 180.

13x² + 12x² + 20x² = 180

Combine like terms,

                 45x²  = 180

                     x² = 180 ÷ 45

                     x² = 4

                     x = √4

                     x = ± 2

x = 2 ; -2

∠ABC = 13x² = 13*4 = 52°

∠BCA = 12x² = 12 *4 = 48°

∠CAB = 20x² = 20 *4 = 80°

The value of x is +2 and -2 and the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Given that:-

∠ABC = 13x² ∠ACB = 12x² and ∠CAB = 20x²

The angles will be calculated as follows:-

13x² + 12x² + 20x² = 180

45x²  =  180

x²  =  4

x   =  ±2

The angles will be:-

∠ABC = 13x²  = 13 x ( 2² ) = 52

∠ACB = 12x²  = 12 ( 2² )    = 48

∠CAB = 20x²  = 20 ( 2² )  = 80

Therefore value of x is +2 and -2 the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.

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Which graph shows h(x) = f(x)g(x)

Answers

The attached graph represents the function h(x), where h(x) = f(x)g(x)

Complete question

Consider the functions f(x) = x - 6 and g(x) = x + 6. Which graph shows h(x) = f(x)g(x)?

How to determine the graph of h(x)?

We have

f(x) = x - 6

g(x) = x + 6

The equation h(x) = f(x)g(x) means

h(x) = f(x) * g(x)

So, we have:

h(x) = (x - 6) * (x + 6)

Expand

h(x) = x² - 36

See attachment for the graph of function h(x)

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Answer:

A on edg. 2020

Step-by-step explanation:

Which graph shows h(x) = f(x)/g(x)

Need help with this math question (pic included)

Answers

Answer:

8

Step-by-step explanation:

If the only zero for this function is at x = - 4 it looks like this:

f(x)  = (x+4)(x+4)        =    x^2 +8x + 16         so j = 8

Answer:

Step-by-step explanation:

x² +jx +k = 0

If there is only one root ( - 4 ), then (x + 4)² = 0

or

x² + 8x + 16 = 0

j = 8 and k = 16

When you multiply a number by 12 and subtract the product from 360, the difference is 216. Find the number.

Answers

The equation will be 12a – 360 = 216. Then the value of the variable a will be 48.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

When you multiply a number by 12 and subtract the product from 360, the difference is 216.

Let the number be a.

Then we have the equation

12a – 360 = 216

By solving the equation, we have

12a = 216 + 360

12a = 576

   a = 576/12

   a = 48

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Probability of Next Candy
Fill in the chart below with the probability of choosing the next candy.

Answers

Answer:

8 is correct.

Mark as brainlist, thanks me, and rate. Hope it helps you!!!

Describe the correlation in terms of strength (weak or strong) and direction positive or negative).

Answers

The description of the correlation in terms of strength (weak or strong) and direction positive or negative) is as explained below.

How to Interpret Correlation Problems?

A correlation coefficient, is expressed as r and it indicates a measure of the direction and strength of a relationship between two variables.

Now, in terms of strength, Correlation strength ranges from -1 to +1. Thus, The closer the correlation is to 0, the weaker it is while the closer it is to ±1, the stronger it is.

Now, in terms of direction;

A correlation of +1 indicates a perfect positive correlation which tells us that both variables move in the same direction together.

A correlation of –1 indicates a perfect negative correlation, which tells us that as one variable goes up, the other goes down.

A zero correlation suggests that the correlation statistic does not indicate a relationship between the two variables.

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It’s math can you guys help me out 10 points:)

Answers

Answer:

90 liters

Step-by-step explanation:

According to the graph in order to gain $36 you must sell 90 liters. Hope this helps :)

What is the formula for the margin of error?

Answers

Answer:

[tex]ME =\frac{z*s}{\sqrt{n}}[/tex]

Step-by-step explanation:

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings

To find margin of error, you need

Get the population standard deviation (σ) and sample size (n)

        n = sample size

Take the square root of your sample size and divide it into your population standard deviationσ = population standard deviation Multiply the result by the z-score consistent with your desired confidence interval according to the following table:

        z = z-score

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Determine the values for the pronumerals that make the following piece-wise functions continuous. (I really need help please).​

Answers

Step-by-step explanation:

A function is continuous at x is

Limit as x approaches c= f(c).

Step 1: Find f(4).

4 is defined for 2x-1 so plug in. 4 for x.

[tex]2(4) - 1 = 7[/tex]

Note that what we just calculated was not only f(4) but also the left sided limit of f(x).

Step 2: Make sure the left sided and right sided limit are equal to 7.

[tex]a + 5x = 7[/tex]

Plug in 4 for x

[tex]a + 5(4) = 7[/tex]

[tex]a = - 13[/tex]

(49p2–490p) ÷(p–10)

please help!!

Answers

Answer:

(49p2–490p) ÷(p–10)

Step-by-step explanation:

Please help fast!!

Multiply and reduce to lowest terms. Convert into a mixed number if necessary.

[tex]3 \times \frac{2}{5} [/tex]

Answers

Answer:

[tex]1\frac{1}{5}[/tex]

Step-by-step explanation:

3 = 3/1

(multiply top and bottom separately for fractions)

[tex]\frac{3}{1}[/tex] × [tex]\frac{2}{5}[/tex] = [tex]\frac{6}{5}[/tex]

[tex]\frac{6}{5} = \frac{5}{5}+\frac{1}{5}= 1\frac{1}{5}[/tex]

Answer:

1 1/5

Step-by-step explanation:

3×2/5

multiplying three (3) and two(2) and express the product of three and two over five.

6/5

five can enter in six three times , remainder 1

The fraction in lowest terms is one whole number , one over five.

1 1/5

answer must be in simplest form

Answers

The trigonometric ratios shows that the cos M is 4/5.

RIGHT TRIANGLE

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says: [tex]hypothenuse^2=(leg_1)^2+(leg_2)^2[/tex] . And the main trigonometric ratios are: sin [tex]\alpha[/tex],  cos [tex]\alpha[/tex] and tan [tex]\alpha[/tex], where:

[tex]sin \alpha =\frac{opposite\;leg}{hypotenuse} \\ \\ cos \alpha =\frac{adjacent\;leg}{hypotenuse} \\ \\ tan \alpha =\frac{opposite\;leg}{adjacent\;leg}[/tex]

For finding the cos M, firstly, you should find the side MN from Pythagorean Theorem.

[tex]hypothenuse^2=(leg_1)^2+(leg_2)^2\\ \\\ 30^2=18^2+(MN)^2\\ \\ 900=324+(MN)^2\\ \\(MN)}^2=900-324\\ \\ (MN)^2=576\\ \\ MN=24[/tex]

If MN=24, the cos M will be

[tex]cosM =\frac{adjacent\;leg}{hypotenuse} =\frac{24}{30} =\frac{4}{5}[/tex]

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An amusement park prices tickets at $55 and sells an average if 500 tickets daily. The management finds, over multiple increases in ticket pricing that a $2 increase in the price of a ticket leads to an average of 20 fewer tickets being sold in a day.

Management uses the combined function P to model the daily earning of the amusement part, where x is the number of $2 increases in the price of a ticket.

P(x) = -40x^2- 100x + 27,500

Use the given Information to complete the sentences.

The constant of the polynomial expression represents the
___ in the price of a ticket.

The binomial (500 - 20x) is a factor of the polynomial expression and represents the ___ in the price of a ticket.

Answers

The complete sentence is as follows:

The constant of the polynomial expression represents the daily earnings of the amusement park before any $2 increase in the price of a ticket.

The binomial (500 - 20x) is a factor of the polynomial expression and represents the number of tickets sold after x increases of $2 in the price of a ticket.

Given, An amusement park prices tickets at $55 and sells an average of 500 tickets daily. The management finds, over multiple increases in ticket pricing that a $2 increase in the price of a ticket leads to an average of 20 fewer tickets being sold in a day.

Management uses the combined function P to model the daily earning of the amusement part, where x is the number of $2 increases in the price of a ticket.

[tex]P(x) = -40x^2- 100x + 27,500[/tex].

What is the combined function?

In mathematics, function composition is an operation ∘ that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g. In this operation, the function g is applied to the result of applying the function f to x.

We need to use the given information to complete the sentences.

The complete sentence is as follows:

The constant of the polynomial expression represents the daily earnings of the amusement park before any $2 increase in the price of a ticket.

The binomial (500 - 20x) is a factor of the polynomial expression and represents the number of tickets sold after x increases of $2 in the price of a ticket.

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The constant of the polynomial expression represents the daily earning of the amusement park before any $2 increase in the price of a ticket, and (500 - 20x) represents the number of tickets sold after x increases by $2.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

An amusement park prices tickets at $55 and sells an average if 500 tickets daily.

The function P(x) represents the daily earning of the amusement part, where x is the number of $2 increases in the price of a ticket.

Plug x = 0

P(0) = 27500

The above value is the constant of the polynomial function.

The constant of the polynomial expression represents the daily earning of the amusement park before any $2 increases in the price of a ticket.

As the x is the number of $2 increases in the price of a ticket.

Then,

= (500 - 20x) is the binomial that represents the number of tickets sold after x increases by $2

Thus, the constant of the polynomial expression represents the daily earning of the amusement park before any $2 increase in the price of a ticket, and (500 - 20x) represents the number of tickets sold after x increases by $2.

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Triangle ABC has vertices at A(1,2), B(4,0) and C(1,-4) Find the area of triangle ABC.
PLEASE EXPLAIN HOW YOU DID IT

Answers

The area of triangle ABC from the given vertices is gotten as; 7.5

How to find the area of a triangle?

We are given the vertices of the triangle as;

A(1, 2)

B(4, 0)

C(1,-4)

The formula for area of a triangle with 3 vertices is;

Area = ¹/₂[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]

Thus;

Area = ¹/₂[1(0 + 4) + 4(-4 - 1) + 1(1 - 0)]

Area = ¹/₂(4 - 20 + 1)

Area = -7.5

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A similarity transformation maps AABC to AJKL The measure of ZA of prelmage AABC Is 105°. The scale factor of the dilation in the similarity
transformation is 1.5. If ZA In the prelmage corresponds to ZJ in the image, what is m
a 70°
b 140°
c 105°
d 35°
its reserved.

Answers

Answer:

The answer is 105.

Step-by-step explanation:

The scatter plot shows the number of households, in millions, that have cable television over eight consecutive years. Which of the following is an appropriate line of best fit?

Answers

The equation of the appropriate line of best fit is y = 1.25x + 2

How to determine the line of best fit?

Start by drawing a line through the points (see attachment)

From the attached graph, we have:

(x, y) = (0,2) and (4,6.5)

Calculate the slope (m) using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (6.5 - 4)/(2 - 0)

Evaluate

m = 1.25

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 1.25(x - 0) + 2

Expand

y = 1.25x + 2

Hence, the equation of the appropriate line of best fit is y = 1.25x + 2

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w and x are whole numbers
w>60
x<50
Work out the smallest possible value of x-z

Answers

Using the given information, the smallest possible value of x - z is 12

Evaluating an expression

From the question, we are to determine the smallest possible value of x - z

From the given information,

w and x are whole numbers

and

w > 60

x < 50

∴ w = 61, 62, 63, 63, 65, ...

x = 49, 48, 47, 46, 45, ...

Then,

The smallest possible value of x - z is

x - z = 61 - 49

x - z = 12

Hence, the smallest possible value of x - z is 12

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Which equation completes the system that is satisfied by the solution (1, 1)?
02x+y = 2
O4x - 2y = 2
02x - 2y = 2
Ox+y = 4

Answers

Answer: B. 4x-2y=2

Step-by-step explanation:

We will work this out one by one. Plug in the x and y values of the solution to the equations and you will see which one is true or false.

A. [tex]2(1)+y(1)=2\\2+1\neq 2[/tex]     B. [tex]4(1)-2(1)=2\\4-2=2[/tex]

C. [tex]2(1)-2(1)=2\\2-2\neq 2[/tex]     D. [tex]x(1)+y(1)=4\\1+1\neq 4[/tex]

With this information, we see that B is the correct answer.

I hope this helped!! Pls mark brainliest!! :))

I believe the answer is B) 4x - 2y = 2

Find the distance between -6.77777 and 3.55555.
O 10.3
O 10.33332
O 10.3333332
13.33332

Answers

Answer:

10.33332

Step-by-step explanation:

-6.77777 is 6.77777 units away from 0. So there's 6.77777+3.55555 which is 3.55555 units away from 0.

Add those two numbers together and it's 10.33332

Answer:

10.33332

Step-by-step explanation:

distance between -6.77777 and 3.55555 is 10.33332

On a farm, there is a grain silo.The silo is cylindrical with a tile roof. The silo has a diameter of 8 metres and is 6 metres tall. The farmer wants to paint the curved surface of the silo.Each can of paint will cover 20m². The paint costs $11.75 per can. How much will it cost the farmer to paint the silo?​

Answers

The paint that the farmer needs to paint his Silo will cost $152.75.

How to calculate the price of the paint that the farmer will require?

To calculate the value of the total paint that the farmer will require, we must carry out the following procedure:

1. Identify the area you need to paint

2πrh + 2πr²2 * 3.14 * 4m * 6m + 2 * 3.14 *4m² = 251.32m²

2. Find how many cans of paint he needs.

251.32m² ÷ 20m² = 12.56

That is, he will need 13 cans of paint.

3. Find the price of 13 cans of paint.

$11.75 × 13 = $152.75

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MARKING BRAINLIEST TO FIRST CORRECT ANSWER If quadrilateral JKLM had a translation where all the vertices were in the third quadrant, what would be the coordinates of the vertices?

Answers

If quadrilateral JKLM were in third quadrant then the coordinates will be (-1,0),(-4,-1),(-4,-2)(-1,-2)

Given Quadrilateral JKLM is in fourth quadrant and coordinates (1,0),(4,-1),(4,-2)(1,-2)

We know that the coordinates of x used to negative in third quadrant and positive in fourth quadrant. Coordinates of y used to negative in third and fourth quadrant.

So in order to change the coordinates from fourth to third we need to change the coordinates of x axis to negative and the coordinates will be :

Coordinates of J will change from (1,0) to (-1,0)

Coordinates of  K will change from(4,-1) to (-4,-1)

Coordinates of L will change from (4,-2) to (-4,-2)

Coordinates of M will change from (1,-2) to (-1,-2).

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John bought 8 watches for $56 and his friend victor bought 7 watches for $63. whose watch is expensive ?

Answers

John=$7 each watch
Victor =$9 each watch
Victors was more because if I were to buy the same amount of each (56).
63*8= 504
56*7=382.

John bought 56 for 382
Victor bought 56 for 504.

helppppppppp markingbrainliest

Answers

a)

x×3+4=22

b)

x×3+4=22

x×3=22-4

x×3=18

x=18÷3

x=6

Hope it helps

Answer:

x=6

Step-by-step explanation:

your equation would be X * 3 + 4 = 22

to solve you subtract four from both sides then divide three by both sides because you do the opposite of the sign thats there and you get x= 6! i hope this helped

A ship is stationary at sea.
A tugboat is 36 km away at a bearing of 130°, and a yacht is 27 km from the tugboat at a bearing of 260°.
Draw a scale diagram showing the positions of the three vessels.
Use a scale of 1 : 450,000.
Measure the distance from the ship to the yacht to the nearest km.

Answers

Bearing is a topic that deals with the distance and location of a given object with respect to a reference point. Thus in the given question, the ship is 57.23 km to the yacht.

Bearing is a topic that considers the distance and position of a given object with respect to a reference point. Thus the angles are usually measured with reference to the north pole.

Thus to solve the given question, let the required distance be represented by x.

Applying the cosine rule, we have;

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos C

The angle C between the line from ship to tugboat and from tugboat to yacht can be determined as;

C = [tex]10^{o}[/tex] + [tex]40^{o}[/tex]

C = [tex]50^{o}[/tex]

Thus,

[tex]c^{2}[/tex] = [tex]36^{2}[/tex] + [tex]27^{2}[/tex] + 2(36 x 27) Cos [tex]50^{o}[/tex]

  = 1296 + 729 + 1944(0.6429)

  = 2025 + 1249.8

[tex]c^{2}[/tex] = 3274.8

c = [tex]\sqrt{3274.8}[/tex]

  = 57.2259

c = 57.23

Therefore, the distance from the ship to the yacht is 57.23 km.

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Kindly contact a 1-on-1 tutor if more explanations are needed.

3(2x − 8) – 11x ......

Answers

Answer:

-5x-24

Step-by-step explanation:

3(2x-8)-11x

Use distributive property.

6x-24-11x.

Combine like terms.

6x-11x-24=-5x-24

-5x-24

Hope this helps!

If not, I am sorry.

Answer:

-5x - 24

Step-by-step explanation:

3(2x − 8) – 11x =

Distribute the 3, then combine like terms.

= 6x - 24 - 11x

= -5x - 24

Which function is graphed below?

Answers

Answer: The second option, y = 3(1/3)^x

Step-by-step explanation: Input each equation into a graphing calculator (preferably GeoGebra online) and check the answer. I linked the equation, but make sure to check anyway just in case :)

Which of the following terms is defined as 1/sin?

Answers

Answer: D) cosecant

• cosec θ = 1/sin θ
• sin θ = 1/cosec θ

Answer: cosecant

Formula's are:

Secant:

1/cos(x) = sec(x)

Cosecant:

1/sin(x) = cosec(x)

Cotangent:

1/tan(x) = cos(x)/sin(x) = cot(x)

Finding the LCM of algebraic term and algebraic expressions.​

Answers

Answer:

The LCM is made by multiplying all factors included in the factoring of the given expressions. Common factors are used once only and the one with the highest power is used. x + 3 is a factor in the first expressions is therefore used.

Step-by-step explanation:

The product (

Answers

[tex](a+b)(a-b) = a^2 - ab + ba - b^2 = a^2 - b^2[/tex]

Since the middle terms cancel each other out, what is left is the difference of two squares.

In your example (x+6)(x-6) = x² -36

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(9) The major limit to this alternative source is that equipment is expensive. (10) Developing a cost-effective way to harness the power of the sun will be a significant development in solving our energy crisis.Which sentence is the author's thesis statement?sentence 1sentence 2sentence 5sentence 6 A box has dimensions of 2.5 cm by 3.0 cm by 4.0 cm. The volume of the box in milliliters and liters is Group of answer choices 3,000 mL and 3.0 L 30 mL and 30,000 L 7.5 mL and 7,500 L 30 mL and 0.030 L 7.5 mL and 0.0075 L In the figure below, if line r is parallel to line s, m Simplify completely!!! Please answer BOTH the questions xoxo 3 erasers cost $4.41. Write a proportion that would solve for the cost of 4 erasers. erved.by Jonathan Swiftit would not be proper, for some reasons, to trouble the reader with the particulars of our adventures in those seas. Let it suffice to inform him, that,In our passage from thence to the East Indies, we were driven by a violent storm, to the northwest of Van Diemen's Land....On the fifth of November, which was the beginning of summer in those parts, the weather being very hazy, the seamen spled a rock within half acable's length of the ship; but the wind was so strong, that we were driven directly upon it, and Immediately split. Six of the crew, of whom I was one,having let down the boat Into the sea, made a shift to get clear of the ship and the rock We rowed, by my computation, about three leagues, till wewere able to work no longer, being already spent with labor, while we were in the ship. We, therefore, trusted ourselves to the mercy of the waves;and, in about half an hour, the boat was overset by a sudden flurry from the north. What became of my companions in the boat, as well as those whoescaped on the rock, or were left in the vessel, I cannot tell, but conclude they were all lost.For my own part, I swam as fortune directed me, and was pushed forward by wind and tide. I often let my legs drop, and could feel no bottom; but,when I was almost gone, and able to struggle no longer, I found myself within my depth; and, by this time, the storm was much abated.Select ALL the correct answers.Which two details are most important to include in a summary of the excerpt?All except the narrator were lost at sea.The ship crashed upon a rock in a storm.The voyage was headed to the East Indies.O Fortunately for the narrator, the storm calmed.The narrator was tossed about in the sea.E For what values of x does f(x) = 0?O-4, 0, 2O-2, 0, 4O-5, 0, 17O-17, 0,5 please help! due very soon! Discuss the path that light takes through the human eye A computer system is priced at $3200. A man buysthe computer system on hire purchase accordingto the following terms: a down payment of $480and the remaining to be paid in monthlyinstalments over 2 years at a simple interest rate of9.5% per annum.(i) Find his monthly instalment.(ii) Find the total amount the man pays for thecomputer system.(iii) How much more does he have to payforbuying the computer system on hire purchase?dollar Which two choices are examples of trivial file transfer protocol (tftp) use? (choose two. )