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Sati [7]
3 years ago
7

A wire 8 meters long is cut into two pieces.

Mathematics
2 answers:
antoniya [11.8K]3 years ago
7 0
Each wire is now 4 meters long.
Mnenie [13.5K]3 years ago
5 0
  <span>x = radius of circle 
y = side of triangle 
Total length = 3y + 2πx = 8 
total area = y²√3/4 + πx² 

3y + 2πx = 8 
y = (8–2πx)/3 
A = y²√3/4 + πx² 
A = [(8–2πx)/3]²√3/4 + πx² 

A = √3/36(8–2πx)² + πx² 
A = √3/9(4–πx)² + πx² 
A = √3/9(16–8πx+π²x²) + πx² 
A = (16/9)√3 – (8/9)√3πx + (√3/9)π²x² + πx² 
A = (√3/9+1)π²x² – (8/9)√3πx + (16/9)√3 

differentiate, set equal to zero and solve for x 

A' = 2(√3/9+1)π²x – (8/9)√3π = 0 
2(√3/9+1)πx = (8/9)√3 

x = (8/9)√3 / 2(√3/9+1)π = 1.5396 / 7.492 = 0.205 
check the arithmetic. </span>
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You watch a roulette wheel spin 270 consecutive times and the ball lands on a red slot each time. what is the probability that t
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<span>18/37 if you're in Europe, 9/19 if you're in America, assuming the wheel isn't rigged. If the roulette wheel is a fair wheel, the odds on any given spin of the wheel is unaffected by any previous spins of the wheel. So no matter how many times the wheel has consecutively come up red, the next spin can still come up red, black, or green based upon the number of each color is present on the wheel. The difference between the odds for Europe vs America has to do with a quirk about roulette. In Europe, the roulette wheel has 37 slots, 18 red, 18 black, and 1 green. In America, the roulette wheel has 38 slots, 18 red, 18 black, and 2 green. Although in this case, I'd be wary about assuming that the wheel isn't rigged. The odds of 270 consecutive red on a fair wheel is only 1 in 3.09663x10^84 in Europe, or 1 in 4.14949x10^87 in America.</span>
6 0
3 years ago
Karissa rides her bicycle for 4 hours and is 22 miles from her house. After riding for 8 hours, she is
inysia [295]

Answer:

5.5

Step-by-step explanation:

We nned to divide to solve this!!

22/4 = 5.5

She is going 5.5 mph!!

Have an amazing day!!

Please rate and mark brainliest!!!!

8 0
3 years ago
A police cruiser approaching a right-angled intersection from the south, is chasing a speeding car that has turned the corner an
vlada-n [284]
Three hours is the answer I think
6 0
3 years ago
Read 2 more answers
You want to buy birthday hats, cards, and teddy bears for your best friends birthday party. You buy the products for wholesale p
Naya [18.7K]

Answer:

I will create a five by four matrix to indicate the costs of the products.  The matrix will have five vertical columns and four horizontal rolls.  The vertical columns will show the product categories and the total costs for all the products and decorations.  The horizontal rolls will show the product costs, the decoration costs, and the total costs for each product category.

The size and shape of the matrix will be 5 by 4 with squared boxes.

Step-by-step explanation:

Products/Costs         Hats         Cards      Teddy    Total Costs

Product costs           $2.50       $0.90       $3.10        $6.50

Decoration costs      $1.50       $0.60        $1.70        $3.80

Total costs               $4.00        $1.50       $4.80       $10.30

6 0
3 years ago
5.<br>Find the sum of all two - digit natural numbers which are divisible by 3.​
kykrilka [37]

Answer:

1665

Step-by-step explanation:

This is AP, where:

  • First term is: 12= 3*4
  • Last term is: 99= 3*33
  • Common difference is: 3
  • Number of terms is: 33- 3= 30 (because the 4th term is included)
  • S=1/2*30(12+99)= 1665

The sum of all two - digit natural numbers which are divisible by 3 is 1665

3 0
3 years ago
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