<span>By the Pythagorean theorem
AB = </span>√(12²+5²) = √169 = 13 units
Answer:
Brand X has to mix 8.4 oz of brand A mixed nuts which contain 35% peanuts and 12.6 oz of brand B mixed nuts which contain 25%, to obtain 21 oz. Bags of mixed nuts that contain 29% peanuts.
Step-by-step explanation:
Hi
We define
, wich means Brand A has 1 oz containing 35% peanuts.
, wich means Brand b has 1 oz containing 25% peanuts.
So we can build an equiation system
(1) 
(2)
, after fixing it a little
(2)
As we can use any method to solve the system, I used a calculator wich thrown the following results
and
.
2x^2 + 3xy - 4y^2 when x = 2 and y = -4
= 2(2)^2 + 3(2)(-4) - 4(-4)^2 = 2(4) + (-24) - 4(16) = 8 - 24 - 64 = -80
Answer:
29°: Acute 90°: Right 61°: Acute
Step-by-step explanation:
If an angle is less than 90 degrees, it is acute. If it is greater than 90 degrees, it is obtuse. If it is exactly 90 degrees, it is right.