So we have
which, as the above manipulation showed, is equivalent to
Answer:
t =12 m
Step-by-step explanation:
We can use similar triangles and proportions to solve this problem.
Put the smaller triangle on top and the larger triangle on bottom
12 9
------ = -------
16 t
Solve by using cross products
12 t = 9*16
12 t =144
Divide by 12
12t/12 = 144/12
t = 12
36 cm²s⁻¹ is the rate at which the area of the square is increasing.
Given each side of the square is increasing at a rate of 6cm/s
Area, A = s², s is the side length
=> {chain rule of differentiation}
= 6 cm/s
When A = 9 cm² => 9 = s²
=> s = √(9) => s = 3 cm
Hence, = 2 × 3 × 6 = 36 cm²s⁻¹
Hence, 36 cm²s⁻¹ is the rate at which the area of the square increases
Learn more about differentiation here brainly.com/question/3083587
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The answer would be it ~linear~
Hope this helps
Have a great day/night!
The answers 40 because 26/x=1/0.5
26/x=1/0.5 simplified US equal to x=13
13 times 120=1560
1560 divided by 39 equals 40