Answer:
Maximum volume error = ±540 cm³
Relative error = 0.02
Percentage error = 2%
Step-by-step explanation:
Relative error : The ratio of volume error to the total volume.
Percentage error: The product of relative error and 100.
The volume of a cube is = 
v =x³
Differentiate with respect to x
Here are x = 30 cm and dx= ±0.2 cm
∴ dv = 3×(30 cm)² (±0.2 cm)
=±540 cm³
The volume of the cube = 30³ cm ³ = 27,000 cm³
Then the relative error
= 0.02.
The percentage error
= (0.02×100)
=2%
Answer:
x= -10
Step-by-step explanation:
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
4.5(8) - 4.5(x) + 36 = 102 - 2.5(3x) -2.5(24)
36 - 4.5x + 36 = 102 - 7.5x - 60
72 - 4.5x = 102 - 7.5x - 60
-4.5x = 102 - 7.5x - 60 - 72
-4.5x + 7.5x = -30
3x = -30
x = -30/3
x = -10
Sorry if its wrong, I try my best.
Answer:
cos 2 x=1-sin^2 x
Step-by-step explanation:
x=-135°
cos 2x=cos (-270)=cos (-270+360)=cos 90=0
or cos 2x=1-2sin ²x=1-2(sin (-135))²
=1-2(-sin 135)²
=1-2(sin 135)²
=1-2(sin (180-45))²
=1-2(sin²45)
=1-2 (\frac{1}{\sqrt{2}})²
=1-1
=0
Answer:
1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
