1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Airida [17]
3 years ago
14

Three circles with centers A, B, and C are externally tangent to each other as shown in the figure. Lines EG and DG are tangent

to circle C at points F and D and intersect at point G. If each circle has a diameter of 6 inches, find the length of DG and the area enclosed by lines FG and GD, and arc FD. :) help pleaaaaaaaase
Mathematics
1 answer:
fiasKO [112]3 years ago
5 0
My solution to the problem is as follows:

EC = 15 ... draw CF = 6 (radius) ...use Pythagorean theorem to find EF. 

EF^2 + CF^2 = EC^2 
EF^2 = 15^2 - 6^2 = 189 .... EF = sq root 189 

triangle GDE is similar to CFE ... thus proportional 
GD / ED = CF / EF 
GD / 18 = 6 / (sq root 189) 
<span>GD = 108 / (sq root 189)

I hope my answer has come to your help. God bless and have a nice day ahead!


</span>
You might be interested in
!!!! PLEASE HELP !!!!
baherus [9]
Your answer is B, (1,5)

Based on your equation, 5x means in one movement of the x axis it increases 5 spaces on the Y axis. Since there is nothing after the 5x indicating it is starting elsewhere this means it starts at 0.0. So after the first movement on the x axis your value will be 1 plug in your x axis value to the equation f(x)=5x so it will look like f(1)=5•1 and then you will have both values needed to form your answer (1,5)
4 0
2 years ago
MICHAEL and Kevin are running. Kevin gets a 3 mile head start and runs at a rate of 5.5 miles per hour.  Michael runs at a rate
dlinn [17]
5.5x + 3 = y
7x =y

5.5x + 3 = 7x (-5.5x both sides)

3 = 1.5x (÷1.5 both sides)

X = 2

Michael takes two hours



4 0
3 years ago
(-2/3, sqrt5/3) is a point on a unit circle. Find the cosine, cosecant, and sine of the angle.
Nana76 [90]

Look at the picture.

\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{y}{r}}=\dfrac{r}{y}

We have the right triangle x, y and r. From the Pythagorean theorem we have:

r^2=x^2+y^2\to r=\sqrt{x^2+y^2}

We have the point

\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)

Substitute:

r=\sqrt{\left(-\dfrac{2}{3}\right)^2+\left(\dfrac{\sqrt5}{3}\right)^2}\\\\r=\sqrt{\dfrac{4}{9}+\dfrac{5}{9}}\\\\r=\sqrt{\dfrac{9}{9}}\\\\r=1

\csc\theta=\dfrac{1}{\frac{\sqrt5}{3}}=\dfrac{3}{\sqrt5}=\dfrac{3\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\boxed{\dfrac{3\sqrt5}{5}}

8 0
3 years ago
What’s the answer ??????
LekaFEV [45]
I believe x=2 because 6x=2x+8
3 0
3 years ago
Select the correct answer.
babymother [125]
Hello buddy I’m a person who knows the answer it is b
5 0
3 years ago
Read 2 more answers
Other questions:
  • Will vote brainliest.
    10·2 answers
  • 104/360 simplfy this fraction
    13·2 answers
  • I need help with this problem! Thank you !
    11·1 answer
  • 1hole minus two thirds
    8·1 answer
  • What is 132 rounded to the nearest 10?
    10·2 answers
  • ILIO
    14·1 answer
  • What is the total cost of $16 if you include 5% GST and 20% tip​
    15·1 answer
  • I need help with 2.04, 2.06 and 2.08!!
    5·1 answer
  • How many quarts of soil are used to fill 2 flower pots?
    6·1 answer
  • 8. A grocer buys x kg of potatoes at Birr 1.50 per kg and y kg of onions al
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!