The construction that you can use to prove the Pythagorean
Theorem based on similarity of triangles is 2nd construction. Please see the
attached file.
To add, in mathematics, the Pythagorean theorem, also
known as Pythagoras's theorem, is a fundamental relation in Euclidean
geometry among the three sides of a right triangle. It mentions that the sum of
the squares of the other two sides is equal to the square of the hypotenuse
(the side opposite the right angle).
Answer:
The number he thought of was 13
Step-by-step explanation:
Revers the problem
3.5 * 3 = 10.5
10.5 - 4 = 6.5
6.5 * 2 = 13
area = Pi*r^2
= Pi*10^2
=100Pi
=314.1592654
circumference = Pi*Diameter
= Pi*20
=20Pi
=62.83185307
I'm assuming you have to graph a line that shows the combination of earnings.
Our equation is 14.64y + 12.20x = 219.60
We'll be solving for x and y. We'll need to substitute the variables, one at a time, to 0, in order to find their intercepts.
Let's do x first.
14.64(0) + 12.20x = 219.60
12.20x = 219.60
Divide by 12.20 on both sides.
x = 18
Now let's solve for y.
14.46y + 12.20(0) = 219.60
14.46y = 219.60
Divide both sides by 14.46.
y = 15.18
That is actually a long decmal, but since we're dealing with money, we round it down to the nearest cent.
So, now we know x = 18 and y = 15.18.
Graph those on the x coordinate plane and the y coordinate plane, and make a line connecting the two. That line represents all the solutions.
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