Solution
Question 1:
- Use of the area of squares to explain the Pythagoras theorem is given below
- The 3 squares given above have dimensions: a, b, and c.
- The areas of the squares are given by:

- The Pythagoras theorem states that:
"The sum of the areas of the smaller squares add up to the area of the biggest square"
Thus, we have:

Question 2:
- We can apply the theorem as follows:
![\begin{gathered} 10^2+24^2=c^2 \\ 100+576=c^2 \\ 676=c^2 \\ \text{Take square root of both sides} \\ \\ c=\sqrt[]{676} \\ c=26 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2010%5E2%2B24%5E2%3Dc%5E2%20%5C%5C%20100%2B576%3Dc%5E2%20%5C%5C%20676%3Dc%5E2%20%5C%5C%20%5Ctext%7BTake%20square%20root%20of%20both%20sides%7D%20%5C%5C%20%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B676%7D%20%5C%5C%20c%3D26%20%5Cend%7Bgathered%7D)
Thus, the value of c is 26
Answer:
"all real numbers"
Step-by-step explanation:
This is an exponential function. The domain of the basic exponential function 3^x is "all real numbers." This domain also applies to f(x) = 3^x - 2.
Answer:
62 is your answer
Step-by-step explanation:
6 × (36 ÷ 12)² + 8, you can also write 36 ÷ 12 as a fraction, which would look like this: 36/12
Step 1: 6 × 36/12² + 8 = 6 × 3² + 8
Step 2: Multiply 6 and 9
(6)(9)+8 = 54+8
Step 3: Then you add 54 and 9 and you get 62
Answer: 62
Answer:
760ft
Step-by-step explanation:
First you find the volume of the rectangle thing :)
so 14 times 19 times 2 = 532ft
than you need to do the triangle so 20 - 14 (for base length) is 6
so 19 times 6 times 2 = 228ft
now you ad them, so 532 + 228 = 760