Answer:
Pythagoras’ theorem is a way to find a side or hypothesis when you have 2 sides.
The formula is: a^2 + b^2 = c^2
a and b are sides
c is the hypothesis
<u>Ex: A triangle has a leg that is 5 inches and a leg that is 7 inches. Find the hypothesis using Pythagoras' theorem. </u>
A leg is another way of saying a side.
5^2 + 7^2 = c^2
25 + 49 = x^2
sqrt(74) = sqrt(x^2)
sqrt(74) inches = hypothesis
<u>Ex: A triangle has a leg that is 9 feet and a hypothesis that is 25 feet. Find the other leg using Pythagoras' theorem. </u>
9^2 + b^2 = 25^2
81 + b^2 - 81 = 625 - 81
sqrt(b^2) = sqrt(544)
b = sqrt(554)
Do you understand more?
Answer:
2^170
Step-by-step explanation:
(16 x 4^3 x 8^8)^ 5
- start by converting it all to a common base
(2^4 x 2^3 x 2^24)^5
- calculate the product, by adding all the powers
(2^34)^5
= 2^170
Given a number w, six more than that number is 
. If you want this result to be 2, you have
Subtract 6 from both sides to get
1. Let's check the problem backwards. So let's map A"B"C" to ABC
2. We first need to reflect A"B"C" to A"B"C' with A"B"" as the axis of rotation.
3. Then we shift a few units up (translation) A"B"C' to A'B'C
4. Finally we rotate A'B'C around C to map the triangle onto ABC
going backwards we get the answer: b
<span>b.rotation, then translation, then reflection</span>
First, find the surface area of the bigger sides (there are 4 of them so what you get for one you will multiply by 4)
12 x 8 = 96
96 x 4 = 384
Then find the surface area of the smaller sides ( there are two small sides so multiply your answer by two)
8 x 8 = 64
64 x 2 =128
Then add both together
128 +384 = 512
Hope this helps :)
