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Alex
2 years ago
12

Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square increasing when the area of the

square is 16cm^2?
Mathematics
1 answer:
siniylev [52]2 years ago
7 0

<u>Solution:</u> 48cm/s^2

<u>Working:</u>

A = s^2

Derivate s^2 (as it is area formula) which gives

dA/dt = 2s dL/dt

dL/dt = 6cm/s

Hence,

2(6) = 12

Side: 4cm

Hence,

dA/dt = (4)(12) = 48cm/s^2

<em>Feel free to mark this as brainliest :D</em>

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What is the inequality pls help
Colt1911 [192]

Answer:

y

Step-by-step explanation:

Choosing two points on the dotted line to find equation of line.

The points are:

(0,6) and (4,3)

Slope of line can be calculated as:

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{3-6}{4-0}

m=\frac{-3}{4}

Using point slope equation to find equation of dotted line.

y=mx+b

where m represents slope of line and b represents y-intercept.

The y-intercept for the dotted line = 6 as it intersects the y-axis at (0,6)

So, the equation of line is:

y=-\frac{3}{4}x+6

The dotted line indicates that the line is not included in the solution.

The solution of the inequality is below the dotted line, so thus it would be less than the line.

So, the inequality would be:

y

7 0
3 years ago
Lonely vibes :(<br> 2+2=3x
astraxan [27]

Answer:

ok I got you

Step-by-step explanation:

2+2=3x

or, 4=3x

or, 4/3x

ans:. x=4/3

3 0
2 years ago
How many ways can Mrs. Sullivan choose two
sveta [45]

In 371 ways Mrs. Sullivan choose two  students from 27 to help put away calculators at  the end of class

Step-by-step explanation:

let us assume that Mrs.Sullivan  wants to choose 2 students from a group of 27 students

So ,in the first choice we have  27 students

In the  second choice we have  26 choices

So Mrs.Sullivan has = 27 × 26 = 702 ways

But  each group repeated twice,in order to avoid that we will divide the answer by 2

so we will write

= 702 ÷ 2 =<u> 351 ways</u>

<u>This method of calculation is called Combination</u>

7 0
3 years ago
Due to environmental considerations, homeowners in a particularly dry area have been asked to use less water than usual. One hom
Dmitriy789 [7]

Answer:

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3 0
2 years ago
An aircraft flying at an average speed of 770 km/h takes 15 hours to complete a journey. Find the time taken for the aircraft to
Hoochie [10]
We can solve it two ways, we´ll do it via physics:
We know that:
d=vt
d=770km/h*15h
d=11550km
Now at 660km/h:
t=d/v
t=11550km/660km/h
t=17,5h
Math way:
770km/h→15h
660km/h→x
So:
(770*15)/660=x
x=17,5h
8 0
3 years ago
Read 2 more answers
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