In the figure below not drawn to scale. DC is a tangent to the circle. DC = 6cm, AB = 5cm. Calculate BC. (3mks) ​

In The Figure Below Not Drawn To Scale. DC Is A Tangent To The Circle. DC = 6cm, AB = 5cm. Calculate

Answers

Answer 1

Answer:

4

Step-by-step explanation:

DA²= CB×CA

6²= y×(y+5)

36=y²+5y

y²+5y-36=0

x1+x2=-5

x1×x2=36

x1=4

x2=-9

x must be positive, then answer is 4

chek: 4×9=36


Related Questions

Given right triangle QRS, what is the value of sin(30°)?

Answers

Answer:

1/2

Step-by-step explanation:

(Is this the question? In the pic above)

Sin of an angle os the side opposite over it divided by the hypotenuse.

Sin = opposite/hypotenuse

Sin = 5/10

Sin = 1/2

can someone please help mee i need the exact answer(30 points will give brainliest!!!)

Answers

Answers:

Domain:  [tex]\boldsymbol{(-\infty, \infty)}[/tex]

Range:  [tex]\boldsymbol{(-\infty, \infty)}[/tex]

=======================================================

Explanation:

domain = set of all possible x inputs

range = set of all possible y outputs

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

In this case, the domain is the set of all real numbers because the graph stretches forever to the left and right. There aren't any gaps, holes, jumps, etc to worry about. Any real number works as an input.

We can say x is between [tex]-\infty[/tex] and [tex]\infty[/tex] and write [tex]-\infty < x < \infty[/tex]

That turns into the interval notation [tex](-\infty, \infty)[/tex]

The curved parenthesis are always used with either infinity because we cannot reach them.

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

The range is the same story, but with the y values this time. The graph stretches forever upward and downward due to the arrow.

If it peaked at y = 4, then the range would be [tex](-\infty, 4][/tex], but instead the graph goes beyond y = 4 because of that upward arrow.

Please help me find the answer to this problem

Answers

-2/3.

That is the slope because this equation is written in slope-intercept form (y=mx+b) where...

m= slope

b = y-intercept

Garth is packing boxes with books.the list shows how many books are in each 10 of boxes

Answers

The median of books to a box is 9 and The mean of books to a box is 11

The complete question is

Garth is packing boxes with books. The list shows how many boxes are in each of 10 boxes. 6,14,6,18,9,9,12,10,11,15

Which statement is true about the number of boxes packed to a box?

A) The median # of books to a box is 8

B) The median # of books to a box is 9

C) The mean # of books to a box is 11

D) The mean # of books to a box is 12

What is Mean and Median ?

Mean is the average of the data given while the median is the middle point of the data.

It is given that

The data is

6, 14, 6, 18, 9, 9, 12, 10, 11, 15

The mean is

(6 + 14 + 6 + 18 + 9 + 9 + 12 + 10 + 11 + 15)/10 = 11

and the median is 9

Therefore Option B and C is the correct answer.

To know more about Mean and Median

https://brainly.com/question/17060266

#SPJ1

divided it by 7 and added
divided it by 7 and added 25. the result was 34 what was my number?
25. the result was 34 what was my number?

Answers

Answer:

your questions is not clear but from my observations

let the number be x

x/7+25=34

x+175/7=34

x+175=238

x=238-175

×=63

please mark me as brainlyst

help the question is on the image.​

Answers

Answer:

[tex]\boxed {tan\theta = \frac{2}{3}}[/tex]

Step-by-step explanation:

Let's derive a formula :

⇒ Area (triangle) × 3 = Area (square)

⇒ 1/2(bh) × 3 = a²

∴ But a = h (shown in diagram)

⇒ 3/2(bh) = h²

⇒ h = 3b/2

Now, taking tan θ :

⇒ tan θ = b/h

⇒ tan θ = b/(3b/2)

⇒ tan θ = 2b/3b

tan θ = 2/3

28. Think About a Plan Draw AABC. Construct another
triangle so that the three sides of AABC are the
midsegments of the new triangle.
. Can you visualize or sketch the final figure?
• Which segments in your final construction will be
parallel?

Answers

DE is the segment parallel to the side BC. The triangles have sides AB, BC, and CA. D, E, and F are the three sides' midpoints.

What is the triangle?

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

The sides of the triangles are AB, BC, and CA.The mid points of the three sides are D, E, and F.

The new triangle sides are DE, EF, and FD. We can visualize the triangle as DEF given in the attachment.

Hence, DE is the segment parallel to side B.

To learn more about the triangle, refer to:

https://brainly.com/question/2773823

#SPJ1

BRAINLY IF CORRECT!!!
Does anyone know what the s inside the angle mean. The symbol?

Answers

Approximately equal to something (I think)

Answer: I'm 90% sure that the S inside the angle is spatial points

The full Definition of the symbol combination is approximately equal to Spatial points?

Step-by-step explanation:

I searched s inside angle symbol and these are my results. "The angle symbol is a mathematical symbol that is placed ahead of character s, usually uppercase italic letters representing spatial points, to describe a geometric angle formed by the intersection of two lines, line segments, or rays."   I'm sorry if I'm wrong.

-5
-3-2
5
4
3
2
4
-2
بله با
-3
-4
-5
y
1 2 3 4
5
x
The distance between the two points pictured is d =
Use the distance formula to find n.
d = √(x2-x₁)² + (V₂-V₁)²
n =

Answers

Answer:

  n = 61

Step-by-step explanation:

The subscripted values of x and y in the formula refer to the coordinates of the points:

  [tex](x_1,y_1)=(-3,-2)\qquad(x_2,y_2)=(2,4)[/tex]

Substitute the given values and do the arithmetic.

__

Using these values in the formula gives ...

  [tex]d=\sqrt{n}=\sqrt{(2-(-3))^2+(4-(-2))^2}=\sqrt{5^2+6^2}=\sqrt{25+36}\\\\d=\sqrt{n}=\sqrt{61}\\\\\boxed{n=61}[/tex]

(2,4)(-3,-2)

Distance

√(2+3)²+(4+2)²√5²+6²√25+36√61

√n=√61

n=61

A=(1+1/2).(1+1/3). ... .(1+1/2020)

Answers

[tex]A=\left(1+\dfrac{1}{2}\right)\cdot \left(1+\dfrac{1}{3}\right)\cdot\ldots\cdot \left(1+\dfrac{1}{2020}\right)=\dfrac{3}{2}\cdot\dfrac{4}{3}\cdot\ldots\cdot \dfrac{2021}{2020}=\dfrac{\dfrac{2021!}{2}}{2020!}=\\\\=\dfrac{2021}{2}=1010.5[/tex]

The exchange rate of Mexican pesos for US dollars is approximately 19 pesos for 1 dollar if Lynn exchanges 4,000 pesos for US dollars what was the approximate value in US dollars

Answers

Unit conversion is a way of converting some common units into another without changing their real value. The approximate value in US dollars is $210.53.

What is unit conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The exchange rate of Mexican pesos for US dollars is approximately 19 pesos for 1 dollar. Therefore, we can write,

19 pesos = 1 dollar

1 pesos = 1/19 dollar

if Lynn exchanges 4,000 pesos for US dollars, then the approximate value in US dollars will be,

4,000 pesos = 4000/19 = 210.53 dollars

Hence,  the approximate value in US dollars is $210.53.

Learn more about Units conversion:

https://brainly.com/question/4736731

#SPJ1

The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.

800 grams =
pounds

700 grams =
pounds

Answers

The weight of the full steel bead tire in pounds is 1.76 pounds

The weight of the lighter steel bead tire in pounds is 1.54 pounds.

What are the weights of the tires?

Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.

The weight of the full steel bead tire in pounds = 800 / 453.592 = 1.76

The weight of the lighter steel bead tire in pounds = 700 / 453.592 = 1.54

To learn more about division, please check: https://brainly.com/question/13281206

#SPJ1

How are rays and angles related? a ray , and an angle is two . the measure of an angle related to the length of its sides. so, the measure of an angle the same at all distances from its vertex.

Answers

A ray is a part of a line that starts at a point (called the endpoint) and extends infinitely in one direction. An angle is formed when two rays share a common endpoint (vertex).

A ray has one endpoint: A ray is a one-dimensional figure that starts at a single point (the endpoint) and extends infinitely in one direction. On the other hand, an angle is formed by two rays, each with its own endpoint, meeting at a common vertex.

An angle is two rays: As mentioned earlier, an angle is created when two rays share a common endpoint. The two rays are referred to as the sides of the angle, and the endpoint they share is called the vertex.

The measure of an angle is determined by the amount of rotation: The measure of an angle is not dependent on the lengths of its sides but rather on the amount of rotation between its two rays. To measure an angle, we compare it to a standard unit of angle measurement, usually degrees. One full rotation (360 degrees) corresponds to a complete circle, and angles are measured based on the fraction of a full circle they represent.

The measure of an angle remains the same at all distances from its vertex: The measure of an angle is independent of the length of its sides or how far away an observer is from the vertex. For example, a 60-degree angle remains a 60-degree angle whether you look at it from up close or from a distance. This is because the measure of an angle depends only on the relative positions of its two rays, not on the size of the shape it forms.

Learn more about Rays click;

https://brainly.com/question/30255178

#SPJ4

Pick one answer choice. Please help! I want to make sure i’m doing it right for practice test!

Answers

The product of the two functions is:

[tex](f \times g)(x) = 10x[/tex]

So the correct option is A.

Which one is the equivalent expression?

Remember that the square root has the property.

[tex]\sqrt{a}*\sqrt{b} = \sqrt{a*b}[/tex]

Here we have:

[tex]f(x) = \sqrt{2x} \\\\g(x) = \sqrt{50x}[/tex]

Then the product is:

[tex](f \times g)(x) = 10x = f(x)*g(x) = \sqrt{2x}*\sqrt{50x} = \sqrt{(2x)*(50x)} \\\\(f \times g)(x) = 10x = \sqrt{100x^2} = \sqrt{100}*\sqrt{x^2} = 10*x[/tex]

the correct option is A.

If you want to learn about roots:

https://brainly.com/question/24487155

#SPJ1

The table shows the results of a survey of 200 randomly selected people on whether they like watermelon, cantaloupe, or both.

A 4-column table with 3 rows. The first column has no label with entries cantaloupe, not cantaloupe, total. The second column is labeled watermelon with entries 93, 66, 159. The third column is labeled not watermelon with entries 16, 25, 41. The fourth column is labeled total with entries 109, 91, 200.

Which is the marginal relative frequency for the people who do not like cantaloupe?

StartFraction 25 Over 91 EndFraction
StartFraction 66 Over 200 EndFraction
StartFraction 91 Over 200 EndFraction
StartFraction 66 Over 91 EndFraction

Answers

The marginal frequency for the people who do not like cantaloupe is StartFraction 91 Over 200 EndFraction/

The correct option is (C),

What is Marginal Relative frequency?

Marginal Relative Frequency is the ratio between the frequency of a row total or column total to the total frequency of the data.

Given:

                               Watermelon      Not watermelon     Total

Cantaloupe                  93                       16                         109

Not cantaloupe           66                       25                         91

Total                             159                       41                          200

Hence, the Marginal Relative frequency is = 91/200 = 0.455

Learn more about this concept here:

https://brainly.com/question/14101732

#SPJ1

This is confusing please help

Answers

Step-by-step explanation:

since we are using Pythagoras

c² = a² + b²

with c being the Hypotenuse (the baseline opposite of the 90° angle),

you want to get the expression

y² = 3² + 3²

so, you pick the ² and put it next to the y left of the "=" sign.

and to the right of the "=" sign you put 3, ², +, 3, ²

There are 20 dogs and 15 cats in a pet shop. Find the ratio of cats to dogs.

Answers

The ratio is 4:3 or 4/3

Can someone help me out on this problem ?

Answers

i believe it would be continuous, every 5 minutes it’s one car, and so 10 minutes it’s 2 cars, etc

What is the value of y?

Answers

I need an equation or something

Answer:

y

Step-by-step explanation:

the value of y may be y or on the alphabetic order 25th

6. Which equation has a slope of - 7 and contains
(-2,-2) ?
A. y-2=-2(x-7)
B. y + 2 = 7(x-2)
C. y-2=-7(x + 2)
D. y + 2 = 7(x + 2)

Answers

Answer:

so there is no answer in choice

Step-by-step explanation:

y=mx+b

so we have m,y and x so we have to find b

-2=-7×-2+b

b=-16

so y=-7x-16

the answer should be

y+2=-7(x+2)

PLEASE HELP (PRE-ALGEBRA) MULTIPLE CHOICE! WILL GIVE BRAINLEIST! (photo attached!)

If the triangle on the grid below is translated by using the rule (x,y) → (x−2.y+2), what will be the coordinates of A'?
(4,0)
(0,4)
(0,0)
(-2.2)

Answers

Answer:

(-4, 0)

Step-by-step explanation:

x-2 means ur gonna take coordinate A and move it back 2 places along the x axis, (-4,-2) and then y+2 means ur gonna go up to places alomg the y axis which brings coordinate A' to (-4,0)

Answer:

A'(-4, 0)

Step-by-step explanation:

(x, y) → (x - 2, y + 2)

A(-2,-2 )→ A'(-2-2,-2+2)

= A'(-4,0)

Solve and show your work for each equation.

What is 0.36... (36 repeating) expressed as a fraction in its simplest form?
What is 0.36... (6 repeating) expressed as a fraction in its simplest form?

Answers

Answer:

The answer will be 9/25.

Please mark me as the brainliest.

Identify the figure that portrays the translation of the given preimage as indicated by the direction arrow. Preimage: (1st one is pre-image. Rest are options.)
[Please answer ASAP, need help on assignment due today.]

Answers

Answer:

The triangle will translate along the arrow and reach the head of the arrow.

Step-by-step explanation:

Translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.

In translation, the rotational motion is not present. Also, the translational motion is a one dimensional motion.

In the given figure, the triangle is present at the tail of the arrow.

The arrow depicts the direction of the translational motion.

So, the triangle will reach the end of the arrow as shown in the picture present in the attachment.

For more explanation, refer the following link:

brainly.com/question/17540330

#SPJ10

A triangular prism and two nets are shown:

A right triangular prism is shown with two nets. The triangular base of the prism has height 5 inches, base 12 inches, and hypotenuse 13 inches. The length of the prism is 18 inches. Net A has 3 rectangles having dimensions 5 by 18, 18 by 12, and 18 by 13, and two triangles having legs 12 inches and 5 inches. Net B has 3 rectangles having dimensions 5 by 13, 13 by 12, and 13 by 18, and two triangles having legs 5 inches and 12 inches.

Which is the correct net of the prism and what is the surface area of the prism?

Answers

The surface area of the triangular prism is 480 square inches and net A is the correct net of the prism

What is a triangular prism?

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is a name given to this novel 3D object.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have given a triangular prism with its net.

After analyzing the correct net will be net A because the inner rectangle length should be 14 in not 13 in.

The surface area of the triangular prism:

[tex]= 2[\dfrac{1}{2}(5\times12)]+ 5\times 14+ 12 \times 14+ 13\times 14[/tex]

After solving:

The surface area = 480 square inches.

Thus, the surface area of the triangular prism is 480 square inches and net A is the correct net of the prism

Learn more about triangular prisms here:

brainly.com/question/16909441

#SPJ1

Please help me with this question

Answers

Answer:

7

Step-by-step explanation:

OK, so we're looking for the index in the fourth column and the fourth row

which is gonna be 7 if you count correctly

Given circle D, calculate the measure of arc AC if AD=16 and BD=13.

Answers

Answer:

18.66

Step-by-step explanation:

Using the pythagorean theorem:

a^2 + b^2 = c^2

a^2 + 13^2 = 16^2

a^2 + 169 = 256

a^2 = 87

a = 9.33

Since we need to figure out length AC and not just AB, we can multiply our answer by 2:

9.33 x 2 = 18.66

Answer:

  71.32°

Step-by-step explanation:

The measure of angle ADB can be found using the trig relation ...

  Cos = Adjacent/Hypotenuse

__

  cos(ADB) = DB/AD = 13/16

Using the inverse function, ...

  ∠ADB = arccos(13/16) ≈ 35.659°

Arc AC has the same measure as angle ADC, which is double the measure of angle ADB.

  Arc AC = 2×35.659° = 71.318° ≈ 71.32°

The measure of arc AC is about 71.32°.

_____

Additional comment

The length of arc AC is the product of the radius and its radian measure:

  length AC = (16)(71.32π/180) ≈ 19.92 . . . units

NEED HELP ON THIS ASAP!!!!!!

Answers

Answer: Choice B (If you need to do questions like this in the future i recommend using the desmos graphing calculator online, inputting the equations and comparing them)

If [tex] \rm log_{3}( |5 - 2x| ) > 4[/tex] then x lies in interval of :
i)
[tex] ( - 43 \: , \: 38)[/tex]
ii)
[tex]( - \infty \: , \: 38 ) \cup(43 \: , \: \infty )[/tex]
iii)
[tex]( - 38 \: , \: 43)[/tex]
iv)
[tex]( - \infty \: , \: - 43) \cup(38 \: , \: \infty )[/tex]

Answers

[tex]\log_3|5-2x| > 4\\\log_3|5-2x| > \log_33^4\\|5-2x| > 3^4\\|5-2x| > 81\\5-2x > 81 \vee 5-2x < -81\\2x < -76 \vee 2x > 86\\x < -38 \vee x > 43\\x\in(-\infty,-38)\cup(43,\infty)[/tex]

What is the greatest area of a rectangle with a perimeter of 60cm? What is the length and width of this rectangle?

Answers

The length and width of this rectangle are 15 cm respectively

How to determine the greatest area?

The perimeter is given as:

Perimeter, P = 60

The greatest area is calculated as:

Greatest = (P/4)^2

Substitute 60 for P

Greatest = (60/4)^2

Evaluate the quotient

Greatest = 15^2

Evaluate the exponent

Greatest = 225 square centimeters

Hence, the greatest area is 225 square centimeters

How to determine the length and width

We understand that the area is the greatest.

In such a scenario;

Length = Width

This means that:

Area =Length^2 =Width^2

So, we have:

Length^2 =Width^2 = 225

Take the square root

Length =Width = 15

Hence, the length and width of this rectangle are 15 cm respectively

Read more about areas at:

https://brainly.com/question/24487155

#SPJ1

What is the smallest prime factor of 11^7 +7^5?

Answers

Answer:

3 is the smallest prime factor.

Step-by-step explanation:

ionk how to explain it but trust me its right.

Other Questions
HELP pls. Which statement correctly demonstrates using limits to determine a vertical asymptote of What was the purpose behind the New Deal? Let 5, 3 be a point on the terminal side of . Find the exact values of cos, csc, and tan. What would happen if the president died and there were no vice president?O A. Congress would decide who would become president.O B. The Speaker of the House would become president.O C. A vice president would be appointed and then become president.O D. The president pro tempore of the Senate would become president. Please help me! Uniform acceleration problem sheet: In 1997, the thrust SSC, a turbofan powerd vehicle, acheive the land speed world record of 780.34 mph (1,223.65km/h) and became the first car to break the sound barrier. If it tool 1 minute for the thrust SSC to reach its top speed, what was the average acceleration during the time? Dnde debemos estacionar el coche? who was a leader of the Soviet Union Help brainly plus this importantCreate a list of causes that caused The Great Depression.c. Explain what President Franklin Roosevelt did to restructure America during The Great Depression. Give an implementation of the abstract data type of a priority queue of integers as anordered list using the SML syntax (ML functor). Given the following:type Itemval > : Item * Item -> bool Individual consumers supply ____ and purchase ____. Group of answer choices None of the Answers are Correct. Factors of production; final goods and services Intermediate goods; final goods and services National goods and services; factors of production Final goods and services; factors of production PreviousNext An auto mechanic charges (C) an initial fee of $50 and then $40 per hour. If (h) represents hours, how much will the mechanic charge if they worked 10 hours in one day?$450$400$550None of these choices are correct. f(x)= 2x^3 + 6x^2 -5x - 3, g(x)= 3x-4 find (f-g)(x) Read the excerpt from The Dark Game.On several occasions Room 40 received an unexpected but welcome gift when a German codebook was recovered after a sea battle and presented to the British code breakers. One such gift was a codebook from the German ship Magdeburg, a light cruiser that ran aground on an island off of Finland. When Russian ships quickly bore down on the cruiser, the captain of the stranded ship immediately did what all naval officers were taught to do: he ordered his signalman to bring him the ship's codebook so he could throw the book, wrapped in lead covers, into the sea. But before the signalman could deliver the book to his captain, he was killed by Russian guns. When the Russians recovered his body, the sailor was still clutching the codebook in his arms.Which pieces of textual evidence support the inference that the codebook was of high importance? Select 2 options.On several occasions Room 40 received an unexpected but welcome gift when a German codebook was recovered after a sea battle and presented to the British code breakers. One such gift was a codebook from the German ship Magdeburg, a light cruiser that ran aground on an island off of Finland.When Russian ships quickly bore down on the cruiser, the captain of the stranded ship immediately did what all naval officers were taught to do: he ordered his signalman to bring him the ship's codebook so he could throw the book, wrapped in lead covers, into the sea.But before the signalman could deliver the book to his captain, he was killed by Russian guns.When the Russians recovered his body, the sailor was still clutching the codebook in his arms. Translate the following sentences into Spanish.Suddenly we heard a strange (extrao) noise. Which will increase GDP the most: 1 pound of whole apples priced at $1.99/pound, or a16 ounce package of sliced apples priced at $5.99? Explain why. Which of the following molecules Carries genetic information that determines the physical characteristics that organisms inherit? Please answer both questions I will give u brainliest if ur right What is the intersection of line CA a and line XA? What tone does each writer establish in his story? What does each story's tone say about thewriter's attitude toward love and romantic relationships? The lady and the tiger and a ladys tale what is the least common multiple of the numbers 8 and 12? A. 24 B. 8 C. 4 D.96