Answer:
a). 59.049°C
b). 2.1179 seconds
Step-by-step explanation:
Expression representing the final temperature after decrease in temperature of the metal from 100°C to T°C is,
T = 
where x = duration of cooling
a). Temperature when x = 5 seconds
T = 100(0.9)⁵
= 59.049
≈ 59.049°C
b). If the temperature of the metal decreases from 100°C to 80°C
Which means for T = 80°C we have to calculate the duration of cooling 'x' seconds
80 =
0.8 = 
By taking log on both the sides
log(0.8) =log[]
-0.09691 = x[log(0.9)]
-0.09691 = -0.045757x
x = 
x = 2.1179
x ≈ 2.1179 seconds
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Answer:
y= 6
Step-by-step explanation:
A horizontal line means y = something ( the x value will change, but y remains the same)
In this case, the y value is 6
y= 6
Answer:
<h2>V = 27 in³</h2>
Step-by-step explanation:
The formula of a surface area of a cube:
a - edge
We have S.A. = 54 in². Substitute:
<em>divide both sides by 6</em>
The formula of a volume of a cube:
Substitute:
Answer:
Step-by-step explanation:A triangle is aptly named: it is composed of three (tri) angles formed by three non-coincident, non-parallel lines. That the lines are non-coincident means they do not overlap, and that they are non-parallel means that each line intersects with every other line. Correspondingly, a triangle also has three sides.
