Answer:
see the explanation
Step-by-step explanation:
First way
we know that
The sum of the interior angles of a triangle must be equal to 180 degrees
so
In this problem
37+97+134 > 180
therefore
At least one of Franklin's measures is incorrect
Second way
we know that
A triangle can only have at most one obtuse internal angle.
In this problem the triangle has two obtuse internal angles
Remember that an obtuse angle is an angle greater than 90 degrees
therefore
At least one of Franklin's measures is incorrect
To solve the problem we must establish two equations.
let x be the mass of the 20 cents almonds
y be the mass of the 36 cents mixture
first equation is:
x + 40 = y
the second equation is:
0.2x + 40(0.4) = 0.36y
solving the equations simultaneously
x = 10 lb of the 20 cents almonds is needed to mix
Answer:
1. V(12) = $ 1200
2. V(20) = $ 4800
Step-by-step explanation:
The following data were obtained from the question:
V(t) = 150 × 2ᵗ/⁴
V(12) =?
V(20) =?
1. Determination of V(12)
Time (t) = 12 years
V(12) =?
V(t) = 150 × 2ᵗ/⁴
V(12) = 150 × 2¹²/⁴
V(12) = 150 × 2³
V(12) = 150 × 8
V(12) = $ 1200
2. Determination of V(20)
Time (t) = 20 years
V(20) =?
V(t) = 150 × 2ᵗ/⁴
V(20) = 150 × 2²⁰/⁴
V(20) = 150 × 2⁵
V(20) = 150 × 32
V(20) = $ 4800
Hello!
Space = 5 cm + 10cm + 10cm + 20cm + 22cm + 30cm => space = 15cm + 10cm + 20cm + 22cm + 30cm => space = 25cm + 20cm + 22cm + 30cm => space = 45cm + 22cm + 30cm => space = 67cm + 30cm => space = 97cm²
Good luck! :)
