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lesantik [10]
3 years ago
6

Algebra 1B: Exponential Functions Unit 2

Mathematics
1 answer:
AfilCa [17]3 years ago
5 0
To be honest. That’s a hard question there
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The measure angle A is (2x+3), B (4x+2), C (2x-1). What are the measures of the angles?
Rudik [331]

Answer:

<A= 47, <B= 90, <C= 43

Step-by-step explanation:

2x +3 + 4x + 2 + 2x-1 = 180

8x + 4= 180

8x = 176

x =22

2x+3= 44+3= 47

4x+2 = 88+2 = 90

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3 years ago
the volume of a cube is increasing at a constant rate of 824 cubic centimeters per minute. At the instant when the volume of the
Maurinko [17]

Answer:

DA/dt  = 75.27 cm²

Step-by-step explanation:

Cube Volume    =   V(c)   =  683  cm³

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V(c,x) = x³    

Then

DV(c,x)/ dt   =  3x² Dx/dt

( DV(c,x)/ dt )/ 3x²  =  Dx/dt       (1)

Now  as  V(c,x) = x³    when    V(c,x)  =  683 cm³     x = ∛683

x  =  8.806     ( from excel)

And by subtitution of this value in equation (1)

Dx/dt   =  ( DV(c,x)/ dt )/ 3x²   ⇒  Dx/dt  =  824 / 3*x²

  Dx/dt   = 824 /3*77.55

Dx/dt   =  824/232,64

Dx/dt   = 3,542

Then we got  Dx/dt  where x is cube edge. The area of the face is x² then

the rate of change of the suface area is  

DA/dt  = ( Dx/dt )²*6         ( 6 faces of a cube)

DA/dt  = (3.542)²*6

DA/dt  = 75.27 cm²

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Step-by-step explanation:

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