If two solids are similar the ratio of the corresponding sides is called the linear scale factor while the ratio of the areas is called the area scale factor and the ratio of their volumes is the volume scale factor.
v.s.f = (l.s.f)³
in this case, the l.s.f = 5/15 = 1/3
therefore, the V.S.F = (1/3)³ = 1/27
Thus the volume of the larger prism = 60 ×27
= 1620 cm³
Answer:
see the explanation
Step-by-step explanation:
we know that
case 1) if you have
The line is dotted and the shading is below the line
case 2) if you have
The line is dotted and the shading is above the line
case 3) if you have
The line is solid and the shading is above the line
case 4) if you have
The line is solid and the shading is below the line
Answer:
See explanations below
Step-by-step explanation:
Given the system of equation
2x - 10 y = -30 ... 1
x - 5y = 20 ... 2
Step: From 2;
x = 20 + 5y ...3
Step 2: Substitute equation 3 into 1
2x - 10y = -30
2(5y+20) - 10y = -30
Open the bracket
10y + 40 - 10y = -30
10y - 10y + 40 = -30
0+40 = -30
40 = -30
The steps taken by Teri are correct all through. He didn't make any error whatsoever
Answer: D
Step-by-step explanation: edge
V^2 = u^2 - 2gh; where v is the final speed, u is the initial speed, g = 9.8 m/s = 0.54 ft/min is the accerelation due to gravity, h = height.
At the maximum height, the final speed is 0.
u^2 = 2gh = 2 x 0.54 x 36 = 38.58
u = sqrt(38.58) = 6.21 ft/min
Therefore, the stne should be thrown with 6.21 ft/min
