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Andrej [43]
3 years ago
11

Hi how to solve this pythagoras theorem

Mathematics
1 answer:
irina1246 [14]3 years ago
4 0

Answer:

The perimeter of the triangle is 40.

Step-by-step explanation:

Pythagorean Theorem:  If x and y are the leg lengths of a right triangle, then r = √(x^2 + y^2) is the length of the hypotenuse.  Alternatively, x^2 + y^2 = r^2.

The side lengths 2x, 4x - 1 and 4x + 1 are already arranged in ascending order.  Thus, (2x^)2 + (4x - 1)^2 = (4x + 1).    

Performing the indicated operations, we get:

         4x^2 + 16x^2 - 8x + 1 = 16x^2 + 8x + 1.  Simplify this first by combining like terms:

         20x^2 - 16x = 16x^2, or

         4x^2 - 16x = 0, or

          4x(x - 4) = 0.  Thus, x = 0 (which makes no sense here) or x = 4.  

The perimeter of the rectangle is the sum of the three sides 2x, 4x - 1 and 4x + 1.  Substituting 4 for x, we get

P = 8 + 16 - 1 + 16 + 1, or 40.

The perimeter of the triangle is 40.                        

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Answer:

4

Step-by-step explanation:

100 divided by 25 equals 4.

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2 years ago
The Print Shop provides copying services to the general public. The Print Shop has equipment which is capable of making 1,800 co
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a) The financial analysis determining the acceptance of the special order is as follows:

Data and Financial Analysis:

Capacity of photocopier per hour = 1,800 copies

Practical capacity of equipment = 7 hours

Total copies in a day = 12,600 (1,800 x 7)

Steady demand per day = 10,000

Variable cost per copy = $0.22

Service price per copy = $0.25

Profit per copy = $0.03 ($0.25 - $0.22)

Normal profit based on steady demand of 10,000 = $300 ($0.03 x 10,000)

Profit based on maximum capacity of 12,600 = $378 ($0.03 x 12,600)

Price per copy for the special customer = $0.24

Profit per copy based on special price of $0.24 = $0.02 ($0.24 - $0.22)

Profit from special customer with 5,000 pages = $100 (5,000 x $0.02)

Profit from other probable customers = $228 (7,600 x $0.03)

Lost profit for accepting special order based on maximum capacity = $50 ($378 - $228 - $100)

Lost profit if order is <u>not accepted</u> and demand is only 10,000 copies = $78 ($378 - $300)

  • Therefore, the special order at $0.24 should be accepted.

b) The largest order from customer that the shop could accept = 5,000 + $50/$0.02

= 5,000 + 2,500

= 7,500 copies

Thus, if the customer orders 7,500 copies to be made, the shop can still realize a maximum profit of $378 by accepting orders for additional 5,100 (12,600 - $7,500) copies from others.

Learn more: brainly.com/question/22599880

7 0
3 years ago
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Answer:

y = 9

Step-by-step explanation:

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  3. Simplify and solve for the variable that remains.
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