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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>
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a boat can travel 30 miles upstream in the same amount of time you can travel 50 miles Downstream. If the speed of the current i
almond37 [142]
Speed, S = Distance (d) / Time (t) => S= d/t => t= d/S

Let the speed of boat in still water be x mph

Resulting speed upstream = x-4 mph for a distance of 30 miles
Resulting speed downstream = x-4 mph for a distance of 50 miles

Time taken in both distances is equal.
Therefore,

30/(x-4) = 50/(x+4) => 30(x+4) = 50(x-4) => 30x+120 = 50x-200 => 120+200 = (50-30)x => 20x = 320 => x=320/20 = 16 mph

The speed of boat in still water is 16 mph.


7 0
3 years ago
Read 2 more answers
Multiple and convert to simplest form​
Lady bird [3.3K]

Answer:

1)4

2)28

3)18.3

4)38.5

5)22.5

6)19.25

7)25.5

8)69.666

9)6.5

10)22.666

Step-by-step explanation:

  • To do this first you should convert the mix numbers into inproper fractions and then solve.

1)8/5*5/2=4

2)21/5*20/3=7*4

                  =28

3)33/4*20/9=11*5/3

                   =55/3

                   =18.33...

                   =18.3

4)35/6*33/5=7*11/2

                   =77/2

                   =38.5

5)22/8*90/11=45/2

                    =22.5

6)11/3*21/4=11*7/4

                 =77/4

                 =19.25

7)34/5*15/4=34*3/4

                  =25.5

8)22/3*57/6=11*19/3

                   =209/3

                   =69.666

9)39/8*4/3=13/2

                 =6.5

10)17/2*8/3=17*4/3

                 =68/3

                 =22.666

<em>Hope you got this</em>

<em>If you have any doubt please ask me</em>

<em>If you need this in fraction form just check the attachment</em>

5 0
3 years ago
I will mark you as Brainliest.
beks73 [17]

Answer:

We can't solve this because we can't add graphs. One way you could solve it would using Desmos.

Step-by-step explanation:

8 0
3 years ago
Why is the polynomial, 4x^2y + 5xy classified as a 3rd degree binomial?
Ronch [10]
The polynomial has two terms. The exponent of the first term is two. The exponent of the second term would be 1 because 5xy^1 is equal to 5xy.
6 0
3 years ago
Please helpppppp tysm Have a wonderful day.
pav-90 [236]

Answer:

418.4

Step-by-step explanation:

5 0
2 years ago
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