Triangles 1 and 2 are equilateral
Answer:
The product 12 × 15 in friendlier numbers is (10 + 2) × (10 + 5) = 180
Step-by-step explanation:
The parameter given are;
To 12 × 15 by changing the numbers into friendlier numbers
The product in 12 × 15 written with friendlier numbers (or in a simplified format can be given as follows;
12 × 15 = (10 + 2) × (10 + 5)
Which gives;
(10 + 2) × (10 + 5) = 10² + 10 × 5 + 2 × 10 + 2 × 5
From which we have;
10² + 10 × 5 + 2 × 10 + 2 × 5 = 100 + 50 + 20 + 10 = 180
Therefore;
12 × 15 = 180.
Answer:
1. 22583.5 J
2. 1248 kg
3. 78.09 m/s
Step-by-step explanation:
The formula for kinetic energy is ;
K.E = 1/2* m * v²
Where m is the mass and v is the velocity
1.
K.E = 1/2 * m*v²
K.E = 1/2 * 47 * 31²
K.E = 22583.5 J
2.
Velocity = 9.78 m/s.
Kinetic energy = 60,800 J
To get mass, apply the formula as;
K.E = 1/2 * m*v²
60,800 = 1/2 * m * 9.78²
60800 = 48.70845 m
60800/48.70845 = m
1248 = m
Mass = 1248 kg
3.
K.E = 143.3 J
Mass = 0.047 kg
Apply the formula;
K.E = 1/2 * m*v²
143.3 = 1/2 * 0.047 * v²
143.3 = 0.0235 v²
143.3/0.0235 = v²
6097.87 = v²
v = √6097.87
v= 78.09 m/s
