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4 years ago

7 over 9 divided by 3

Mathematics

1 answer:

GarryVolchara [31]4 years ago

4 0

Fraction is 7/27 or 0.259

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The width of a rectangle is increasing at a rate of 2 cm/sec, while the length increases at 3 cm/sec. At what rate is the area i

lorasvet [3.4K]

Answer:

The area of the rectangle is increasing at a rate of $22\ cm^2/s$ .

Step-by-step explanation:

Given : The width of a rectangle is increasing at a rate of 2 cm/ sec. While the length increases at 3 cm/sec.

To find : At what rate is the area increasing when w = 4 cm and I = 5 cm?

Solution :

The area of the rectangle with length 'l' and width 'w' is given by $A=l w$

Derivative w.r.t 't',

$\frac{dA}{dt}=w\frac{dl}{dt}+l\frac{dw}{dt}$

Now, we have given

$\frac{dl}{dt}=3\ cm/s$

$l=5\ cm$

$\frac{dw}{dt}=2\ cm/s$

$w=4\ cm$

Substitute all the values,

$\frac{dA}{dt}=(4)(3)+(5)(2)$

$\frac{dA}{dt}=12+10$

$\frac{dA}{dt}=22\ cm^2/s$

Therefore, the area of the rectangle is increasing at a rate of $22\ cm^2/s$ .

4 0

3 years ago

INSTRUCTIONS :

Alina [70]

for all positive integers (like n = 1, 2 or 5) the conjecture holds true but not for negative values like if n = -3 then the result will not become positive, because:

${( - 3)}^{3} = ( - 3) \times ( - 3) \times ( - 3) = - 27$

which is not positive.

5 0

3 years ago

triangle ABC is similar to Triangle d e f if the perimeter of a triangle ABC is 24 in what is the perimeter of triangle d e f a

vagabundo [1.1K]

9/6 = 1.5
24/1.5 = 16
triangle DEF has a primeter of 16 inches

3 0

3 years ago

At Mr. Neely bank, the interest rate offered to clients is 4.5% annually. If after three years at the bank he has earned $50 in

Angelina_Jolie [31]

Answer: 9 dollars.
Step-by-step explanation: Just do 4.5/50 x 100

7 0

3 years ago

Find the area of the shape shown below.

alexira [117]

Answer:

300 sq ft

Step-by-step explanation:

the area for a right angled triangle is ab/2

25*24/2

300 sq ft

hope that I helped

8 0

3 years ago

Read 2 more answers