Since they are right triangles use Pythagorean Theorem.
a^2 + b^2 = c^2 where c is the hypotenuse.
a. 12^2 + b^2 = 13^2
144 + b^2 = 169
subtract 144 from both sides
b^2 = 25
take the square root of both sides
t = 5 This is also know as a Pythagorean Triple 5-12-13
b. a^2 + 9^2 = 12^2
a^2 + 81 = 144
subtract 81 from both sides
a^2 = 63
take the square root of both sides
a = √63
a = √(9 * 7)
a = 3√7
c. 6^2 + 9^2 = c^2
36 + 81 = c^2
117 = c^2
take the square root of each side
c = √117
c = √(9*13)
x = 3√13
Answer:
1
Step-by-step explanation:
The line in the graph has a slope of -1. The slopes of lines that are perpendicular have a product of -1 so the answer is 1.
Answer:
x=7
Step-by-step explanation:
x+5=12
-5 -5
x=7
For the first question, the answer is A. You take 90 and multiply it by 3, then you get the time that it takes for one worker to mow the large park.
For the second question, you take 50 = k/0.25. To find k, you would want to multiply both sides with 0.25 to cancel the 0.25 on k's side. 50 times 0.25 is 12.5. I think C is your answer although I'm not really confident.
