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allochka39001 [22]
3 years ago
6

How to write 354.3 in scientific notation?

Mathematics
1 answer:
aleksley [76]3 years ago
5 0
Move the decimal place over so you get the decimal point in front of the first number (in this case its 3) 
so its  3.543 x 10²
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"A rectangle has a height of 5 cm and its base is increasing at a rate" of 3/2 cm/min. When its area is 60 cm2, at what rate is
sukhopar [10]

Answer:

The diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

Step-by-step explanation:

Dimensions of the rectangle

Height = 5cm

Rate of base = 3/2 cm/min

Area = 60cm^2

We know the area of a rectangle of given by = base* Height

b*h = 60

b*5 = 60

b = 12cm

Applying Pythagoras theorem while drawing a diagonal to the rectangle

  b^2 +h^2 =  D^2\\

 5^2 +12^2 = 13^2

so our diagonal will be 13cm  

Upon differentiating the area of the rectangle  we get

b*h = A=60cm^2

using  the chain rule of differentiation

h*db/dt + b*dh/dt  = 0

b*dh/dt = -h*db/dt

12*dh/dt = -5*3/2

dh/dt = -5/8 cm//min

so the height of the rectangle is decreasing at the rate of -5/8cm/min

now we have all the measurements we need

b = 12 , db/dt = 3/2cm/min

h = 5 , dh/dt = -5/8 cm/min

b^2 +h^2  = D^2

Upon differentiating we get

2b*db/dt + 2h*dh/dt = 2D*dD/dt

b*db/dt + h*dh/dt = D*dD/dt

12*3/2 + 5*(-5/8) = 13*dD/dt

18 -25/8 = 13*dD/dt

\frac{144-25}{8} = 13*dD/dt

dD/dt = \frac{119}{104} cm/min

Therefore the diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

6 0
3 years ago
PLEASE HELP :(
IrinaK [193]

Answer:

the answer to this question is four cups

Step-by-step explanation:

the answer is four cups/scoops because if Zacks cup can hold one cup and it requires two cups to fill each birdfeeder and there are two of them, it should take him four scoops.

6 0
3 years ago
Write 8×8×8×8×8 using a base and exponent​
Nastasia [14]

Answer:

8 to the 5th power

8^5

Step-by-step explanation:

7 0
3 years ago
If a = b and b = c, which statement must be true?<br> A. a=c<br> B. c =<br> c.-a=c<br> D. -a = -6
Sindrei [870]
The answer is d -a = -6
8 0
3 years ago
Read 2 more answers
Which of these is a Pythagorean triple?<br> 11,60,62<br> 6,8,15<br> 5,11,12<br> 18,80,82
saul85 [17]

Answer:

18,80,82

Step-by-step explanation:

82^2= 6724

18^2+80^2= 6724

The square of the largest number is equal to the sum of the squares of the two smaller numbers.

8 0
3 years ago
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