Answer:
Step-by-step explanation:
Will a pair of 6 feet 11 inch long skis fit in a wardrobe that is 3 feet long, 2 feet wide and 6 feet high?
1 answer:
Answer:
Step-by-step explanation:
Length of a pair of skis = 6 feet 11 inches
Maximum length of a the skis that can be fitted in a wardrobe is along the diagonal of the wardrobe.
From the picture attached,
BC² = 3² + 2² [By Pythagoras theorem]
BC = √(13)
By applying Pythagoras theorem in ΔABC,
AB² = AC² + BC²
AB² = 6² + (√13)²
= 36 + 13
AB = √49
Ab = 7 feet
Since, "diagonal length of the wardrobe is more than the length of skis,
skis can be fitted"
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Answer:
Step-by-step explanation:
If an exponential function is in the form of y = a(b)ˣ,
a = Initial quantity
b = Growth factor
x = Duration
Condition for exponential growth → b > 1
Condition for exponential decay → 0 < b < 1
Now we ca apply this condition in the given functions,
1).
Here, (1 + 0.45) = 1.45 > 1
Therefore, It's an exponential growth.
2).
Here, (0.85) is between 0 and 1,
Therefore, it's an exponential decay.
3). y = (1 - 0.03)ˣ + 4
Here, (1 - 0.03) = 0.97
And 0 < 0.97 < 1
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4). y = 0.5(1.2)ˣ + 2
Here, 1.2 > 1
Therefore, it's an exponential growth.