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Assoli18 [71]
3 years ago
12

the height of a rectangular solid is five times its widthand its length is 8 times its height.if volume is 102.4cm^2find length

Mathematics
2 answers:
BigorU [14]3 years ago
7 0

Answer:32cm

Step-by-step explanation:

From the question, we can deduce that

1. Height= 5(width)

2. Length=8(height)

which is also 8(5(width))=40(width)

The volume is length x width x height =102.4cm3

Now, we’ll put the volume equation in terms of width alone, as we’ve deduced above

40(width) x 5(width) x width = 102.4

(Solve the equation)

200(width)^3=102.4

(Divide both sides by 200)

(width)^3=102.4/200

(width)^3=512/1000

(Take cube root of both sides)

Width=8/10 or 0.8

Hence, the length=40(width)

Length=40 x 0.8

=32

Therefore, the length is 32cm

irina [24]3 years ago
3 0

Answer:

hmmm

Step-by-step explanation:

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What is the inverse of the function f(x) = 1/4x-12?
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Answer:

\huge\boxed{f^{-1}(x)=4x+48}

Step-by-step explanation:

In order to find the inverse of a function, we need to follow a couple of steps.

  • Step 1: Write the function as y=mx+b
  • Step 2: Swap all x and y values
  • Step 3: Solve for y
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We can follow these steps to find the inverse of this function.

Step 1: We can just replace the f(x) with y, making our function y=\frac{1}{4}x-12.

Step 2: We can swap where the x and y values are, making our equation

x = \frac{1}{4}y-12

Step 3: We can now solve for y.

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We now have the function as y = 4x+48.

Step 4: We can now replace the y with f^{-1}(x).

f^{-1}(x) =4x+48

Therefore the inverse of f(x) = \frac{1}{4}x-12 is f^{-1}(x) =4x+48.

Hope this helped!

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