Common Pythagorean triples include
(3, 4, 5)
(5, 12, 13)
(7, 24, 25)
(9, 40, 41)
The only Pythagorean triple that is an arithmetic sequence is (3, 4, 5), so any arithmetic sequence that is a Pythagorean triple must be a multiple of that, such as (9, 12, 15) or (15, 20, 25).
The arithmetic sequences of selections B and D are unrelated to the (3, 4, 5) triple, so cannot be Pythagorean triples. For selection A, we know that 9² + 11² = 81 + 121 = 202 > 14², so that is not a right triangle.
The appropriate selection is ...
C. 7, 24, 25
Answer:
Oioj[
Step-by-step explanation:
(a)
12+0.72(8)
12+5.76
17.76 qts of antifreeze
(b)
100(12+8(.72))/(12+8)
100(12+5.76)/20
100(17.76)/20
5(17.76)
88.8%
You want to find the area left over after the pool is built, so subtract the area of the pool from the area of the yard.
Area of Yard= Base x Height = 14x*19x = 266x^2
Area of Circle= Pi x Radius^2 = (6x)^2*pi = 36x^2*pi
Now subtract the two areas:
266x^2-(36^2*pi)
266x^2-36x^2*pi
Take 2x^2 as a common factor:
2x^2(133-18pi)
D: <span>2x^2(133-18pi)
Hope this helps :)</span>
Given:
Charlie bought a new computer for $450 with his credit card.
He plans to pay the minimum payment of $25 per month.
To find:
The rate of change.
Solution:
Let y be the remaining amount of loan after x months.
Initial amount of loan = $450
Payment of one month = $25
Payment of x months = $25x
Now,
Remining amount = Initial amount of loan - Payment of x months
...(i)
The slope intercept form is
...(ii)
where, m is slope and b is y-intercept.
From (i) and (ii), we get
Therefore, the rate of change is -25 dollars.
