Answer:
The variation rate is 4.07 × 10⁻⁵ cm²/ºC
Step-by-step explanation:
The relationship of the change in length as a function of the temperature, which are given in this problem can be written by the expression for the area of a rectangle
a = L × W
Differentiating both sides,
=
= W + L
The values they give us are
= 1.1 × 10⁻⁵ cm/ºC
= 8.9 × 10⁻⁶ cm/ºC
W = 1.6 cm
L= 2.6 cm
Substituting the values and calculating
= (1.6 × 1.1 × 10⁻⁵) + (2.6 × 8.9 × 10⁻⁶)
= (1.76 × 10⁻⁵) + (2.31 × 10⁻⁵)
= 4.07 × 10⁻⁵ cm²/ºC
The variation rate is 4.07 × 10⁻⁵ cm²/ºC
Answer:
500π in^3
Step-by-step explanation:
The radius is half the diameter, so the radius is 5 in. Since the height is four times that, the height is 20 in.
The equation for the volume of a cylinder is:
We can plug in the radius and height:
Answer:
x=26
y=9
Step-by-step explanation:
5x-17+3x-11=180
8x=180+17+11
8x=208
x=26
3(26)-11=78-11=67
2y+5=90-67
2y=90-67-5
2y=18
y=9
Answer: 1.1
Step-by-step explanation: 1.083, if rounding to one decimal place look at the next digit, so in this case the 8. If the digit is 5 or higher, round the tenth up. If the number is 4 or below, round down. So you will end up with 1.1
2160 cm^3 since the width of prism b is half of the width of prism a