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Effectus [21]
3 years ago
6

Tom plans to replace a rectangular piece of drywall. Find the area of the piece of drywall that Tom needs to replace.

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0

This question is incomplete. Below is the complete question:

Tom plans to replace a rectangular piece of drywall. The dimensions of the rectangle is 3/4 feet by 16 feet. Find the area, in square feet, of the piece of drywall that Tom needs to replace.

Answer: The area of the piece that Tom intends to replace is 12 SQUARE FEET.

Step-by-step explanation:

Tom has plans of replacing the rectangular piece which has 3/4 feet by 16 feet as it's dimensions.

This implies that the rectangle in question will have a width or breadth of 3/4 feet since breadths or widths are usually smaller than lengths.

This means that the length of the rectangle will automatically be 16 feet.

Then, to calculate the area in square feet of the piece, we need to input the formula for calculating the area of a rectangle:

= Length × breadth (width)

In this case, length = 16 feet

and the breadth = 3/4 feet

Therefore, the area of the rectangular piece:

= (16/1) × (3/4)

= 48/4

= 12 square feet.

The area of the piece of drywall that Tom needs to replace is 12 SQUARE FEET

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Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector
Feliz [49]

f(x,y,z)=2z^2x+y^3

f has gradient

\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k

which at the point (-1, 4, 3) has a value of

\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say \vec u=15\,\vec\imath+25\,\vec\jmath, in which case we have

\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}

Then the derivative of f at (-1, 4, 3) in the direction of \vec u is

D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}

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X^2+ 6x - 4 = 3x + 6
jolli1 [7]

Answer:

x=2

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Step-by-step explanation:

You need to get everything on one side to have a quadratic equation:

x^2+6x-4 -(3x+6) = x^2+3x-10

All factors of 10 are 1*10 and 2*5.

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Factoring x^2+3x-10 gives us (x-2)(x+5)

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4 0
3 years ago
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A student is trying to solve the system of two equations given below: Equation P: a + b = 6 Equation Q: 4a + 2b = 19 Which of th
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Answer:

-4(a + b = 6)

Step-by-step explanation:

Given

a + b = 6

4a + 2b = 19

Required

Eliminate a

Multiply the first equation by -4

-4(a + b = 6)

Add to the second equation

-4(a + b = 6) + (4a + 2b = 19)

Solve brackets

(-4a -4b = -24) + (4a + 2b = 19)

Open bracket

-4a + 4a -4b  + 2b = -24 + 19

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At this point, a has been eliminated;

From the list of given options, the option that answers the question is -4(a + b = 6)

8 0
3 years ago
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