Mathematics: 1. a rectangle has a length 2 ft less than three times its width. what is the area of the rectangle when its width is 2 ft? a. 8 square ft b. 6 square ft c. 12 square ft d.10 square ft 2. from an elevation of 3.5 m below the surface of the water, a northern bottle nose whale dives at a rate of 1.8 m/s. what is the whale s depth after 4 min? a.-435.5 m b.-212.5 m c.-10.7 m d.-170.2 m

it is 5Step-by-step explanation:...

1. a rectangle has a length 2 ft less than three

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07.01.2022

Part 1)

Let

x-------> the length of the rectangle

y-------> the width of the rectangle

we know that

the area of the rectangle is equal to

A=xy

x=3y-2 ------> equation A

when

$y=2\ ft$

substitute the value of y in the equation A

$x=3*2-2=4\ ft$

Find the area

$A=4*2=8\ ft^{2}$

therefore

the answer Part 1) is the option A

$8\ ft^{2}$

Part 2)

we know that

the rate of dives is $1.8\frac{m}{s}$

The linear equation is

y=-3.5-1.8x

where

x------> is the time in seconds

y-----> is the depth in meters

For $x=4\ min$

convert to seconds

$4\ min*(60)=240\ sec$

substitute in the linear equation

$y=-3.5-1.8*240=-435.5\ m$

therefore

the answer part 2) is the option A

$-435.5\ m$

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