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kirza4 [7]
3 years ago
5

A hot air balloon ascended to a height of 25 meters 2 minutes after launch. After some time, the balloon's altitude began to cha

nge by -2⅕ meters every minute for 7 minutes. To avoid a tree, the balloon flew up by 8½ meters. What is the new altitude of the balloon? expression for problem?
Mathematics
1 answer:
DENIUS [597]3 years ago
6 0

Answer:

18.1 m

Step-by-step explanation:

For this problem, we will simply use the initial height of 0 meters, the height of 25 meters after 2 minutes, the decline of 2.2 meters every minute for 7 minutes, and a final increase of 8.5 meters to find the final altitude of the ballon.

0m + 25m - 2.2m(7) + 8.5m = ?

25m - 15.4m + 8.5m = ?

9.6m + 8.5m = ?

18.1m = ?

Hence, the final altitude of the ballon is 18.1m.

Cheers.

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Dmitry [639]

Answer:

<h2>a. V = 420 cm³</h2><h2>b. V = 444 in³</h2><h2>c. V = 108 cm³</h2><h2>d. V = 324 m³</h2>

Step-by-step explanation:

We have the rectangular prisms.

The formula of a volume of a rectangular prism is:

V=lwh

l - length

w - width

h - height

==========================================

Look at the picture.

a.

Two congruent rectangular prisms 14cm × 3cm × 5cm.

V=2(14\cdot3\cdot5)=420\ cm^3

b.

One rectangular prism 15in × 4in × 6in and next 7in × 4in × 3in:

V=15\cdot4\cdot6+7\cdot4\cdot3=360+84=444\ in^3

c.

One rectangular prism 10cm × 3cm × 2cm and next 4cm × 3cm × 4cm:

V=10\cdot3\cdot2+4\cdot3\cdot4=60+48=108\ cm^3

d.

One rectangular prism 10m × 3m × 6m and next 8m × 3m × 6m:

V=10\cdot3\cdot6+8\cdot3\cdot6=180+144=324\ m^3

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3 years ago
Find f(-6) for f(x) = x² - 4x + 5. Be sure to show<br> your work.
Marina86 [1]

substitute -6 in the equation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Is that your answer

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