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rosijanka [135]
3 years ago
5

Six circles of radius 1 unit are drawn tangent to the sides of a regular hexagon. Each circle is also tangent to two other circl

es as shown in the drawing. What is the perimeter of the hexagon? Express your answer in simplest radical form.
Mathematics
1 answer:
lawyer [7]3 years ago
4 0

Step-by-step explanation:

if we connect center of circles which tangent each other, then we get bigger regular hexagon with side length 2 unit but it differ 60° from original (smaller) hexagon. hence smaller hexagon has height 2•2–2•1 = 2. from center of smaller hexagon draw line to any two neigbouring vertexes so we get an equilateral triangle with height 1. by using pythagorean or trigonometry we get side length of smaller hexagon

\frac{2}{3}  \sqrt{3}

so the perimeter is

4 \sqrt{3}

unit

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Dominik [7]
Lets solve the first part first.
8(6a+7b)
Distribute the 8 to the 6a and 7b
48a+56b
Now the next half  
-11(2b+8a)
Distribute the -11 to 2b and 8a 
-22b-88a
Then we have to combine 48a 56b -22 b -88a
48a-88a= -40a
56b-22b= 34b
-40a+34b
3 0
3 years ago
Read 2 more answers
-12 ÷ 3• (-8 + (-4)2 -6) +2<br> Please help
Kipish [7]

Hi! The solution is 2(44x + 1)

Step-by-step explanation:

Divide the numbers, Multiply the numbers, add the numbers, Multiply the numbers, then find the common factor.

Hope this helps! Have a good day!

6 0
1 year ago
Read 2 more answers
A test has 25 questions.
nadya68 [22]

Answer:

Peter missed five questions.

Step-by-step explanation:

Since the test has twenty-five questions, and Peter got 80% correct...

80/100 = __/25 <--What number is the numerator?

Well, to get from 100 to 25, you have to divide by 4. 100/4 = 25.

Now, what is 80/4? If you do the math, you should get 20.

25 (Total Questions) - 20 (Questions Correctly Answered) = 5 (Questions Incorrectly Answered)

6 0
3 years ago
A dog sits at a corner of a square with side length 44 meters. the dog runs 10 meters along a diagonal toward the opposite corne
wlad13 [49]

Refer to the figure given below while reading the solution.

Suppose the dog reaches position A when traveled 10 m diagonally towards the opposite side.

And then position B when traveled 5 m towards the right turning 90°.

We can observe that APC is a right triangle with legs of equal length AC. And the coordinates of the point A is (AC, AC).

Also we can observe that APB is a right triangle with legs of equal length AD. Then the coordinates of the point D is (AC, AC-AD).
Hence, the coordinates of B will be (AC+AD, AC-AD).

Now, we since we have the coordinates we can calculate the shortest distances of B from each of the sides.

  1. The shortest distance of B from PQ = AC-AD
  2. The shortest distance of B from SR = 44-(AC-AD)
  3. The shortest distance of B from SP = AC+AD
  4. The shortest distance of B from RQ = 44-(AC+AD)

So, the average of the shortest distances of B from each side is \frac{(AC-AD)+44-(AC-AD)+(AC+AD)+44-(AC+AD)}{4}=\frac{44+44}{4}=22

Hence, the average of the shortest distance of B from each side is 22 m

Learn more about average here-

brainly.com/question/24057012

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Rachel bought jewelry on the internet last month for her birthday fourteen out of sixteen items arrived before her birthday what
Aleks [24]

Answer:

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Step-by-step explanation: this is too easy its jut 16-14

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