Please help with this problem about circles and tangents. solve for X.

Please Help With This Problem About Circles And Tangents. Solve For X.

Answers

Answer 1

As tangents from a single point to the circle are equal in measure

AC=BC

ABC is isosceles

<A=60°

We know the radius hits any tangent on right angles

So

<PAC=90°<PAD=90-60=30°

Now

cosØ=Base/Hypotenusecos30=6/x√3/2=6/x√3x=12x=12/√3

accurate value

x=6.9
Answer 2

Answer:

[tex]x=4\sqrt{3}[/tex]

Step-by-step explanation:

If two tangents to a circle meet at one exterior point, the tangent segments are congruent.   Therefore, AC = BC

This means that ΔABC is an isosceles triangle and so
∠ABC = ∠BAC = 60°

The tangent of a circle is always perpendicular to the radius.

Therefore, ∠PAC = 90°

With this information, we can calculate ∠PAD:

⇒ ∠PAD + ∠BAC = ∠PAC

⇒ ∠PAD + 60° = 90°

⇒ ∠PAD = 90° - 60°

∠PAD = 30°

We now have a side length and an angle of ΔPAD (shown in orange on the attached diagram).  So using the cos trig ratio, we can calculate [tex]x[/tex]:

[tex]\sf \cos(\theta)=\dfrac{A}{H}[/tex]

where:

[tex]\theta[/tex] is the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)

Given:

[tex]\theta[/tex] = ∠PAD = 30°A = AD = 6H = AP = [tex]x[/tex]

[tex]\implies \cos(30^{\circ})=\dfrac{6}{x}[/tex]

[tex]\implies x=\dfrac{6}{\cos(30^{\circ})}[/tex]

[tex]\implies x=\dfrac{6}{\frac{\sqrt{3}}{2}}[/tex]

[tex]\implies x=4\sqrt{3}[/tex]

Please Help With This Problem About Circles And Tangents. Solve For X.

Related Questions

Giving Brainiest help me pleasee tyyy <3

Answers

Answer:

252 in^3

Step-by-step explanation:

Multiply all 12 x 7 x 3 = 84 x 3 = 252 in^3.

Hope this helps!

You can give them brainliest now, you cant if there isn’t 2 answers so here. You’re welcome! (Sorry for taking points tho, just wanted to help!) its 5 points anyways so it doesn’t rlly matter, right?

PLEASE HELP, I NEED THE ANSWER BEFORE 3 HOURS 1. In the fraction the 11 represents the? a. Dividend b. Divisor c. Denominator 2. In the decimal number 125.795 the 9 represents the d. Quotient e. Both B & C place.​

Answers

Answer:

e. Both B & Chundredths

Step-by-step explanation:

Q1

In the fraction 5/11, 11 represents the divisor and the denominator.The correct option is e

Q2

In the number 125.795, the 9 represents the hundredths place

Answer:mbvcdhfguh

Step-by-step explanation:kvghjve5yr

Nick has a rope that is 3 1/4 yards long. He cuts off a piece of the rope so that it is now 5/9 as long as the original rope? What is the length of his rope now?

Answers

The length of the rope remaining after Nick cut off a piece of the rope is 1 29/36 yards

How to solve fractions

Total length of Nick's rope = 3 1/4 yards

Length remaining = 5/9 of original length

5/9 of 3 1/4

= 5/9 × 13/4

= 65/36

= 1 29/36 yards

Therefore, the length of the rope remaining after Nick ncur off a piece of the rope is 1 29/36 yards

Learn more about fraction:

https://brainly.com/question/11562149

#SPJ1

Verify each trigonometric identity

Answers

Answer:

hope it helps you.......

How much is 30 pounds if the price per pound is 3.50.

Answers

The equation would be 30 * 3.50 = 105$


B. If one of the data points at 15 were moved to 10, how could you change another data
point to keep the mean the same?

Answers

Answer:

Below.

Step-by-step explanation:

You have a data point 5 to the left.

So you would move another data point 5 units to the right - like for example 14 to 19.

I need help finding the value of x which is the base of a triangle.

Answers

Answer:

sqrt(13)

Step-by-step explanation:

The entire base is 4, so 1/2 of the base is 2

We can use the pythagorean theorem

a^2 = b^2 = c^2

2^2 + 3^2 = x^2

4+9 = x^2

13 = x^2

Taking the square root of each side

sqrt(13) = x

Check the picture below.

Watch help video
ruby was out at a restaurant for dinner when the bill came. her dinner came to $27.
after adding in a tip, before tax, she paid $34.29. find the percent tip.

Answers

Answer:

I think it's 21.26%

Step-by-step explanation:

tip: 34.29-27=7.29$

the percent tip: (7.29×100)/34.29=21.26 (approximately)

what is the height of a lamp whose two radii are 20 cm and 30 cm and slant height is 40 cm?​

Answers

Answer:

38.73 cm

Step-by-step explanation:

Given:

R  = 30 X = 20 S = 40

Solution:

S² = (R - r)^2xh^2

(40)^2=(30-20)^2+h^2

1600=(10)^2+h^2

1600-100=h^2

h=√1500

h=10√15

h=38.73 (rounded to the nearest tenth)

f(t)=t^2-3t
g(t)=2t+1
find f(g(t))

Answers

Answer:

[tex]f (2t + 1) = 4t^{2} - 2t - 2[/tex]

can you guys please help me on this question

Answers

This one was very hard for me to do so I couldn’t

Answer:

2.44 units

Explanation:

[tex]\sf Arc \ Length = \dfrac{\theta}{360} * 2\pi r[/tex]

Here given:

∅ = 40°radius = 3.5

Solve for AB:

[tex]\rightarrow \sf \dfrac{40}{360} *2(3.14)(3.5)[/tex]

[tex]\rightarrow \sf 2.4422...[/tex]

[tex]\rightarrow \sf 2.44 \quad (rounded \ to \ two \ decimal \ places)[/tex]

The volume of this rectangular prism is 122,264 cubic millimeters. What is the value of z? (will mark brainliest)

Answers

Answer:

z = 58 mm

Step-by-step explanation:

Volume of the rectangular prism :

Volume = length x breadth x height

Solving :

122,264 = 62  x z x 34122,264 = 2,108 x zz = 122,264/2,108z = 58 mm

Answer:

z = 58 mm

Step-by-step explanation:

Volume of a rectangular prism: length × width × height

V = L×W×H

v = 122,264 mm³l = 62 mmw = z mmh = 34 mm

Substitute the values above and solve for z:

122,264 = 62 × z × 34

122,264 = 2108z

122,264/2108 = 2108z/2108

58 = z

Final answer: 58 mm

Hope this helps!

How do I solve this!! Quick and urgent (23. Is the number for the equation)

Answers

Answer:

Independent: Time

Dependent: Views

Step-by-step explanation:

Independent variables are the things that are purposefully altered.

Dependent variables are the things that change in response to the independent variables being changed.

As the hours increase, so do the views. The views will change as time goes by. A change in the number of views does not affect the time passed. Therefore, time is the independent variable and the number of views is the dependent variable.

In a class of 25 students, 6 are female and 8 have an A in the class. There are 13
students who are male and do not have an A in the class. What is the probability that
a student chosen randomly from the class is a male who does not have an A?

Answers

The probability that a student chosen randomly from the class is a male who does not have an A is 0.52

How to determine the probability?

The given parameters are:

Students = 25Female = 6Students with A = 8Male students without A = 13

The probability that a student chosen randomly from the class is a male who does not have an A is calculated as:

P = 13/25

Evaluate

P = 0.52

Hence, the probability is 0.52

Read more about probability at:

https://brainly.com/question/251701

#SPJ1

an investment made in the stock market decreased at a rate of 1.2% per year for 25 years. what is the current value of the 100,000 dollar investment?

Answers

Answer:

73947.52

Step-by-step explanation:

the equation would be 100000 * (0.988)^25

since time is 25 years, and rate is 0.988, since we are decreasing by 0.012.

What is the volume, in cubic meters, of a rectangular prism with a height of 14 meters, a width of 12 meters, and a length of 2 meters?

Answers

Answer:

The volume of a rectangular prism with a height of 14 m, a width of 12 m, and a length of 2 m is equal to 336 .

General Formulas and Concepts:
Geometry

Volume Formula [Rectangular Prism]:
[tex]\displaystyle V = lwh[/tex]

l is lengthw is widthh is height

Step-by-step explanation:

Step 1: Define

Identify given variables.

h = 14 m

w = 12 m

l = 2 m

Step 2: Find Volume

[Volume Formula - Rectangular Prism] Substitute in variables:
[tex]\displaystyle V = (14 \ \text{cm})(12 \ \text{cm})(2 \ \text{cm})[/tex]Evaluate:
[tex]\displaystyle V = \boxed{ 336 \ \text{cm}^3 }[/tex]

∴ the volume of the rectangular prism with the given dimensions is equal to 336 cm³.

___

Learn more about Geometry: https://brainly.com/question/27749754

___

Topic: Geometry

Complete the equation describing how x
and y are related

Answers

Answer:

y = x + -5

Step-by-step explanation:

Solution

To complete the equation, let's take two different points and plug their x- and y-coordinates into the equation. Then, we can solve for the question mark and see if we get the same number. I'll take (1, -4) and (2, -3):

(1, -4):

-4 = 1 + b-4 - 1 = 1 + b - 1b = -5

(2, -3):

-3 = 2 + b-3 - 2 = 2 + b - 2b = -5

Thus, the equation is y = x + (-5).

Can someone give me a simple explanation on how to simplify radicals.

Answers

Answer:

Step 1: Determine the prime factors of the number under the root. Step 2: Write the prime factors in groups. Step 3: Simplify any multiplication and exponents. Step 4: Simplify the radical until no further simplification can be done.

Step-by-step Have explanation:

a great day

A 30cm ruler sometimes measures inches on the other side.
How many feet are approximately same as 30cm ?
1inch = 2.5cm
1foot = 12inches

Answers

1inch = 2.5cm

∆ 30cm

1inch x 30cm \2.5cm =?

5cm =2inch

so 30cm=12inch

Which statements are true? select three options. p(f|c) = 0.75 p(c|f) = 0.25 p(c∩f) = 0.09 p(c∩f) = p(f∩c) p(c|f) = p(f|c)

Answers

The true statements are:

p(f|c) = 0.75p(c∩f) = 0.09 p(c|f) = p(f|c)What are the true statements?

In sets notation, the symbol, ∩ means the intersection of two groups. Here, it represents the number of people who are football fans and fans of car racing. This number is 9%.

Here is the complete question:

A survey finds that 48% of people identify themselves as fans of professional football, 12% as fans of car racing, and 9% as fans of both professional football and car racing. Let event F be choosing a person who is a fan of professional football and let event C be choosing a person who is a fan of car racing.

Which statements are true? Select three options.

To learn more about sets, please check: https://brainly.com/question/12840573

#SPJ4

The figure below is rotated 180° clockwise. What are the coordinates of the image of point A after this transformation?

Answers

Answer:

(-2, -1)

Step-by-step explanation:

The easiest way to approach this problem is to think of each quadrant as being 90 degrees. As you can see, each quadrant has a 90 degree angle.

If we were to move 2 quadrants (or 180 degrees) clockwise, we would end up in the third quadrant (- , -)

Because we are moving clockwise on the graph, the shape would also turn clockwise. 180 degrees is the halfway point, so the shape will appear to be upside down.

If you're a visual learner, I'd recommend finding a website with an online graph (something like desmos or geogebra) that would allow you to actually graph the points and change their position with commands.

Hope this helps :)

Find the area of the triangle. area triangle 4

Answers

Answer:

12

Step-by-step explanation:

because when u plus 4+4+4 it's 12

PLEASE HELP WILL MARK BRAINLIEST

8-10

Answers

Answer:

[8] Area is = to 1017.36            Circumference is = to 113.04

[9] Area is = 490.625             Circumference is = 78.5

[10] D  = 16                                R = 8

Step-by-step explanation:

[8]

Area is = to 1017.36

Circumference is = to 113.04

Formula:

Area = πr²

Circumference = 2πr

Solve:

A =  πr²

A = 3.14(18) ²

A = 3.14(324)

A = 1017.36

C= 2πr

C = 2(3.14)(18)

C = 113.04

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Area = 490.625

Circumference is = 78.5

Formula:

Area = πr²

Circumference = 2πr

Solve:

Area = πr²

A = 3.14(12.5)²

A = 3.14(156.25)

A = 490.625

Circumference = 2πr

C = 2(3.14)(12.5)

C = 78.5

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

[10]

Circle area = π * r² = π * 64 [cm²] ≈ 201.06 [cm²]

π ≈ 3.14159265 ≈ 3.14

d = r * 2 = 8 [cm] * 2 = 16 [cm]

Hence,

D  = 16

R = 8

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Kavinsky

Which describes the process of finding the volume of a cylinder? (Help ASAP)​

Answers

The one on the right is correct. please give brainliest.

Using two or more complete sentences, describe how to find the general rule for the geometric sequence with a4=3 and a6=3/16. In your final answer, include all of your calculations.

Answers

The steps for the geometry sequence with the help of two terms of the sequence, make a system of equation and solve them to find common ratio and first term.

What is geometric sequence?

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

[tex]a_n=a_1r^{n-1}[/tex]

Here, a₁ is the first term of the sequence and r is the common ratio.

The fourth term and sixth term given in for the geometric sequence are 3 and 3/16. For the fourth term,

[tex]a_4=a_1r^{4-1}\\3=a_1r^3[/tex]             ...1

For the sixth term,

[tex]a_6=a_1r^{6-1}\\\dfrac{3}{16}=a_1r^5[/tex]           ....2

On solving, we get,  a₁=192 and r=1/4. Thus, the geometric sequence can be given as,

[tex]a_n=a_1r^{n-1}\\a_n=192\times\dfrac{1}{4}^{n-1}[/tex]

Hence, the steps for the geometry sequence with the help of two terms of the sequence, make a system of equation and solve them to find common ratio and first term.

Learn more about the geometric sequence here;

https://brainly.com/question/1509142

#SPJ1

6 of 6
An equilateral triangle with side length 17 cm is shown in the
diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
The diagram is not drawn accurately.
cm²

Answers

Answer:

125.1 cm^2  to 1 D.P.

Step-by-step explanation:

We could use Heron's formula to do this

Area = √(s(s-a)(s-b)(s-c) )  where s is the  semi-perimeter and a b and c are the lengths of the 3 sides

So we have:

s = (17+17+17) / 2 = 25.5

and Area = √(25.5)(25.5 - 17)^3)

= √15660.1875

= 125.14 cm^2

hello im having a hard time solving part b can anyone help me?

Answers

If you know BN and AN, then you can use the fact that ∆ AQB and ∆ ABN are similar. which gives the relation

BN/BQ = AN/AB = AB/AQ

Now

AN/AB = AB/AQ   ⇒   AQ = AB²/AN = 36/AN

and

BN/BQ = AN/AB   ⇒   BQ = (BN • AB)/AN =  6 • BN/AN

where AB = 6 because it's the diameter of the circle, and C(O, 3) means the circle has center O and radius 3.

help me pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

d. 0.771.

Step-by-step explanation:

This probability is equal to the area other than the green triangle divided by the total area of backyard.

Total area = 120^2 = 14400

Area of green triangle = 1/2 * 120 * 55 = 3300

So area of the part of yard not covered by the triangle = 14400 - 3300

and the required probability =  (14400 - 3300) / 14400

= 0.771.

Answer:

d. 0.771

Step-by-step explanation:

What is probability?

Probability is the likelihood of the occurrence of something.

In simpler terms we can say probability = # of favorable outcomes / total # of outcomes.

Understanding the question

Here we have a square and a triangle inside of the square and we want to find the probability that a tennis ball thrown inside of the square will not land inside of the triangle.

So we have # of favorable outcomes as the area of the outside of the triangle but inside of the square ( so area of square - area of triangle ) and we have total # of outcomes as the total area of the square including the triangle

Finding the areas

Area of square

Area of square = (side length)²

the square shown has a given side length of 120ft

So area = 120² = 120 × 120 = 14400

Area of triangle

Area of a triangle = (base length × height) / 2

Here the base length is shared with the side length of the square menaing the base length of the triangle = 120 and the given height of the triangle is 55 feet

So area would = ( 120 × 55 ) / 2 = 3300

Finding the probability

Again we want to find the probability that a ball thrown in the square will not land in the triangle

This can be calculated using the probability formula we created earlier

probability = ( area of square - area of triangle ) / area of square

we have area of square = 14400 and area of triangle = 3300

so probability = (14400 - 3300) / 14400

==> subtract 3300 from 14400

probability = 11100 / 14400 = 0.771 ( rounded )

And we are done!

Learn more about shaded area here: https://brainly.com/question/27777552

Learn more about probability here: https://brainly.com/question/27607459

Hi I need Help* math problem ( i will give brainlist ) Is the following graph linear, exponential or quadratic

Answers

Answer:

the answer is exponential

Step-by-step explanation:

Answer:

Hi! My guess would be exponential.

Step-by-step explanation:

stay safe, and I hope I helped I apologize if I am wrong, good luck friends


3. Juan makes $9.00 per hour and works 30 hours per week. If Juan has $70 deductions, what is his
Net income?

Answers

Answer:

$200

Step-by-step explanation: You take $9.00 and multiply it by 30 and then you take whatever that answer is and subtract 70 from it to get the net income

Other Questions
Beginning with Augustus, the emperors of the imperial period made full use of the sculpture's potential as a tool for communicatingA.the will of the godsB.the republic's lawsC.the physical idealD.their specific ideologies [tex]\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}[/tex]in the pic In Poe's third stanza, what is Helen holding? What is symbolically interesting about this item? Find the vertex. f(x) = 9x+1 Which animal is native to a different part of the world than the other two?. Which sentences contain prepositions? Check all that apply. Why do you think mongol rulers did not allow the chinese to become high government officials Which are advantages of using nuclear reactors to generate electricity? select 3 options. nuclear power produces no hazardous byproducts. nuclear power has a high output. nuclear power uses nonharmful fuel. nuclear power is readily available. nuclear power produces relatively low carbon dioxide emissions. find the perimeter of the figure below, composed of a rectangle and a semicircle. round to the nearest tenths place 4 9 A creation resulting from study and experimentation is: a. pattern. b. replication. c. precedent. d. innovation. Which number line shows the solutions to x > 5?OA. 8642 8 2 4 6 8OB. 864-2 0 2 4 6 88-64-2024684-202468D. Pls help SetonHistory 8 Second Quarter Test on Chapter 16Home Study SchoolWhat was the position of the majority of southern slave owners? Dylan bikes to his part-time job, which is 10 mi. from home. If he rides at a constant rate of 8 mph, how long will it take him to get to work? A. 1.25 hr. B. 2.6 hr. C. 4.5 hr. D. 10 hr. wich one is greatest? A. 2.3 x 10 B. 8.6 x 10 C. 1.2 x 10 D. 3,600 Compare between material games vs electronic and digital games interms of the skills developed by both games and the relationshipsformed between children during playtime. Solve the equation 3x 55 = 92x = 7 and -7x = 7x = 8 and -8x = 49 Kylie buys a lamp with a price tag of $40. The sales tax rate is 5.25%. What is the total price of the lamp? For any positive numbers a,b, and d, with b = 1, log b _= dLog ba sarah and Zoha are talking about the states of matter . Sarah says that sand is a solid Zoha says that sand must be a liquid because it can flow through your hands. Who is correct? Give a reason for your answer. A 100 N boxer punches a 10 kg punching bag with his fist using a 25 N force. Describe theforces on the fist and the punching bag.A) The force on the fist is greater than the force on the punching bag.B) The force on the fist is equal to the force on the punching bag.C) The force on the fist is smaller than the force on the punching bag.D) Not enough information is given to determine which force is larger or smaller