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hram777 [196]
3 years ago
13

A hole is poked in a balloon so that every minute the balloon loses 3/10ft 3 of air. What is the total change in the number of c

ubic feet of air in the balloon after 5/9 min?
Mathematics
1 answer:
GaryK [48]3 years ago
6 0
5/9 minutes

amount lost=times times amout lost per unit of time
amount lost=5/9 times 3/10
amount lost=15/90
amount lost=5/30
amount lost=1/6

answer is 1/6 ft³ of air
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Answer:

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Step-by-step explanation:

Given from the question length of the the picture = (2w+12) inches

Width of the picture = w inches

Area of the picture = 260 inch²

Part A. Area of the picture with the given dimensions= w×(2w+12)

Or w(2w+12) = 260

2w²+12w = 260

2(w²+6w) = 2×(130)

w²+6w = 130

Or w²+6w +9 = 130+9 ⇒ which is in the form of w²+6w+c = 130+c

Therefore for c = 9 we will get a perfect square trinomial.

Part B. As we have seen the equation in part A.

As required equation will be (w+3)²=139

Part C. Since (w+3)² = 139

Then by taking under root on both the sides of the equation

(w+3) =√139 = 11.8

(w+3)-3=11.8-3

w = 8.8 inch

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Step-by-step explanation:

Here we are given that , the Value of

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We know a identity as ,

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On cubing both sides of the given equation,

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Simplify and then substitute ,

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