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bija089 [108]
3 years ago
12

3. A scuba diver was exploring a reef 32.12 m below sea level. The diver ascended to the surface at a rate of 8.8 m/min. (a) Wri

te an equation to model the situation. Use the formula d = rt. (b) Explain why it is reasonable to write the distance, d, as a positive number. (c) How long did it take the diver to reach the surface?
Mathematics
1 answer:
Mandarinka [93]3 years ago
4 0
A. T= d/r
A good way to remember this is by making a pyramid with 3 parts and putting distance at the top and rate and time in the other two parts. This way you can visibly see the equation and use it if you need to find one for rate.

B. It's reasonable to write distance as a positive number because distance is always positive. You are not able to have a negative distance. Imagine someone standing on a side walk. Even if they are not moving, their distance is 0 which is positive. If they move backwards or forwards, their distance is still positive because it is more than that 0 and they are gaining something. 

C. Just plug in the numbers into the formula.
T= d/r
T= 32.12 m /<span>8.8 m/min
T= 3.65 min

</span>
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Step-by-step explanation:

<em>The complete question in Spanish is</em>

El área de la región rectangular es 4400 cm2. Calcular el valor de m

largo :2m-20

ancho: m

<em>The question in English is</em>

The area of the rectangular region is 4400 cm2. Calculate the value of m

length :2m-20

width: m

we know that

The area of a rectangle is equal to

A=LW

where

L is the length

W is the width

we have

A=4,400\ cm^2

L=(2m-20)\ cm

W=m\ cm

substitute in the formula the given values and solve for m

4,400=(2m-20)m

Distribute in the right side

4,400=2m^2-20m

2m^2-20m-4,400=0

Solve the quadratic equation by graphing

Using a graphing tool

The solution is m=52.17  (the positive value is the solution)

see the attached figure

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