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LuckyWell [14K]
3 years ago
5

Find the volume of a rectangular pyramid, with a height of 12 cm, length of 8 cm, and a width of 6cm.

Mathematics
1 answer:
irinina [24]3 years ago
8 0

Answer:

192 cm^3

Step-by-step explanation:

Volume equals Area of the base times the height divided by three.

V = <u>length * width * height</u>

                      3

V = <u>8 * 6 * 12</u>   =   192 cm^3

           3

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The point P(8, −3) lies on the curve y = 3/(7 − x). (a) If Q is the point (x, 3/(7 − x)), use your calculator to find the slope
yan [13]

Answer:

Slope of the line PQ is -63.434948.

Step-by-step explanation:

Given that,

The point P(8,-3) lies on the curve y=\frac{3}{7-x}.

If Q is the point lies on (x,\frac{3}{7-x} ).

To find:- Find the slope of line PQ.

So,  

The coordinates of point Q when it lies on (x,\frac{3}{7-x} )

        if x=1 then y= \frac{3}{7-1} =\frac{3}{6} =\frac{1}{2}

       So,   Q ≡ (1,\frac{1}{2} ) and many points can be calculated by given Equation.

Using the formula when two points (x_{1} ,y_{1} ) \& (x_{2}, y_{2}  ).

                Slope=Tan\theta = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

Then, substituting the coordinates we get,

             Slope = \frac{1-8}{\frac{1}{2}-(-3) }

             Slope = \frac{-7}{\frac{1}{2}+3 } = \frac{-7}{\frac{7}{2} }

             Slope = \frac{-14}{7}=-2

              tan\theta=-2   ⇒  \theta = tan^{-1} (-2)

               \theta= -63.434948

Therefore,

Slope of the line mPQ is -63.434948.

                     

7 0
3 years ago
Math challenging and now math challenging me to challenge math
erastovalidia [21]

Answer:

$30

Step-by-step explanation:

Total amount paid by the hire purchase scheme:

$60 + 6 * $45 = $60 + $270 = $330

Total amount paid in just the cash price:

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Difference:

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3 years ago
HELP! Work out the question below.
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Step-by-step explanation:

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now,

→ 22/7 × 83.72

→ 22 × 11.96 = 263.02 m²

therefore, area the centre circle is 263.02 according to nearest circle the area is 263 m².

hope this answer helps you dear..take care and may u have a great day ahead!

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3 years ago
What is 1 2/3 as a whole number
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3y-6x=9 another equation that forms a system of equations that has infinitely many solutions?
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you need another equation to solve them simultaneously since they are two unknown

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