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3 years ago

Please help me with #2.

Mathematics

2 answers:

Reptile [31]3 years ago

8 0

Answer:

320 cubic meters.

Step-by-step explanation:

Volume = LxW/ h/3.

--> 20x8/6/3 = 320.

Phoenix [80]3 years ago

6 0

Answer:

320 meters

Step-by-step explanation:

(20*8*6)/3

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Answer:

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3 years ago

The base of a triangle is shrinking at a rate of 11 cm/s and the height of the triangle is increasing at a rate of 11 cm/s. Find

Mumz [18]

Answer:

the rate of changes of the area of the triangle

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Step-by-step explanation:

<u>Explanation</u> :-

The area of triangle( A) = $\frac{1}{2} base X height$ ..........(1)

Let 'b' be the base and 'l' be the length of the triangle

The base of a triangle is shrinking( means decreasing) at a rate of 11 cm/s

that is $\frac{db}{dt} = -11cm/sec$

The height of a triangle is increasing at a rate of 11 cm/s

that is $\frac{dh}{dt} = 11cm/sec$

Given h= 10cm and b = 8cm

<u>The rate of change of triangle </u>

applying uv formula $\frac{d(uv)}{dx} = u( \frac{dv}{dx}) + v(\frac{du}{dx} )$

Differentiating equation (1) with respective to 't'

$\frac{dA}{dt} =\frac{1}{2} ( b(\frac{dh}{dt} )+h ( \frac{db}{dt}))$

substitute all values in above equation, we get

h= 10cm , b = 8cm , $\frac{db}{dt} = -11cm/sec$ and $\frac{dh}{dt} = 11cm/sec$

$\frac{dA}{dt} = 10 (-11) + 8(11 )$

After simplification , we get

$\frac{dA}{dt} =\frac{1}{2} (-110 +88) = -11 cm^2 /sec$

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