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BartSMP [9]
2 years ago
10

!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?

Mathematics
1 answer:
stiks02 [169]2 years ago
6 0

Answer:

Pythagorean Theorem: c2 = a2 + b2

Find the area by adding the areas of the three triangles. The area of a right triangle is: A = ½bh

Two triangles are identical so you can just multiply the area of the first triangle by two: 2A1 = 2(½bh) = 2(½ab) = ab.

The total area of the trapezoid is : A1 + A2 = ab + ½c2

You multiply both sides by 2 to get rid of the ½: (a2 + 2ab + b2) = 2ab + c2

You subtract out the 2ab: a2 + b2 = c2.

Then what is left is the proof: a2 + b2 = c2

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I run a business. It costs £54,000 a year. Most of the money goes on paying wages. The ratio of wages to other costs is 2 : 1. H
Sholpan [36]

Answer:

2 × 54,000 ÷ (1+2)

£36,000

Step-by-step explanation:

Total cost of the business = £54,000

wages : other costs = 2 : 1

Total ratio = 2 + 1 = 3

How much do I spend on wages every year?

Amount spent on wages yearly = ratio of wages / total ratio × Total cost of the business

= 2 × 54,000 ÷ (1+2)

= 2/3 × £54,000

= £108,000/3

= £36,000

Amount spent on wages yearly = £36,000

7 0
3 years ago
The product of two numbers that are less than zero is also less than zero.
barxatty [35]
No.

Their product is always greater than 0.
4 0
3 years ago
Read 2 more answers
What is the greatest common factor in this???
Elza [17]
I believe the greatest common factor would be 1 because there are no other multiples that are the same. 1•21=21, and1•40=40
6 0
3 years ago
When creating lines of best fit, do you believe that estimation by inspection of the equation is best or do you think it should
Alex73 [517]

Answer:

Estimation by inspection is better than trying to determine the line of best fit exactly

i) For a scatter plot : The use of estimation by inspection

ii) For a straight line graph : The exact determination method

Step-by-step explanation:

To create lines of best fit the estimation by inspection is better than trying to determine the line of best fit exactly .

This is because line of best fit only shows the trend of the data and in most cases it doesn't have to start from origin.

Scenarios :

i) For a scatter plot : The use of estimation by inspection

ii) For a straight line graph : The exact determination method

8 0
3 years ago
James is working out and has decided that for every 10 sit-ups he does, he needs to do 4 push-ups. If he does 120 sit-ups, how m
mario62 [17]

Answer:

480 is the answer

Step-by-step explanation:

120x4 is 480

4 0
3 years ago
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