A linear approximation to the error in volume can be written as
... ∆V = (∂V/∂d)·∆d + (∂V/∂h)·∆h
For V=(π/4)·d²·h, this is
... ∆V = 2·(π/4)·d·h·∆d + (π/4)·d²·∆h
Using ∆d = 0.05d and ∆h = 0.05h, this becomes
... ∆V = (π/4)·d²·h·(2·0.05 + 0.05) = 0.15·V
The nominal volume is
... V = (π/4)·d²·h = (π/4)·(2.2 m)²·(6.8 m) = 25.849 m³
Then the maximum error in volume is
... 0.15V = 0.15·25.849 m³ ≈ 3.877 m³
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Essentially, the error percentage is multiplied by the exponent of the associated variable. Then these products are added to get the maximum error percentage.
Answer choice C
118.10/66.35=1.779 or 1.78
1.78x100=178
Options A and D are correct. The pair of measurements that could be the dimensions of rectangle B is 6 cm by 1.5 cm and 18 cm by 4.5 cm.
For us to get a scale copy of the dimension, we need to first find the scale factor as shown;
Given the measure of rectangle A:
To get all of the measurement pairs that could be the dimensions of Rectangle B, we need to multiply the length and width by the same factor
Multiplying by 1/2
New length = 12 × 0.5 = 6cm
New width = 3 × 0.5 = 1.5cm
Hence 6cm by 1.5cm can be dimension of B
Multiplying by 1.5
New length = 12 × 1.5 = 18cm
New width = 3 × 1.5 = 4.5cm
Hence 18cm by 4.5cm can be dimension of B
Learn more here: brainly.com/question/24759485
Answer:
Area = 
Step-by-step explanation:
The area of a rectangle is given by:
Area = Height * Width
The expressions for height and width are given. We just need to multiply and add like terms (if applicable) to find the expression for the area of the rectangle.
Remember to use distributive property:
Thus, we have:
THis is the expression for area.
Answer:
8. (0,-2)
9. (-2,1)
Step-by-step explanation:
Lucy's house is at (1,1)
Down means in the y coordinate , left means negative x
Down 3 means subtract 3 from y
left 1 means subtract 3 from x
(1-1, 1-3)
(0,-2)
9. Lucy is at (1,1)
3 units to the left
left means subtract 3 from x
(1-3, 1)
(-2,1)
