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3 years ago

The volume of a cube is 36 cubic feet. What is the volume of a pyramid that fits exactly inside the cube?

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

6 0

Volume of a cube = 1/3 volume of cube = 1/3 * 36 = 12 cubic feet.

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Rus_ich [418]

Answer: 31

Step-by-step explanation:

6+(2+3)² = 31

(No Step-By-Step Included)

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3 years ago

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MariettaO [177]

$\qquad\qquad\huge\underline{{\sf Answer}}$

Let's find out the gradient (Slope " m ") of line q ;

$\qquad \sf \dashrightarrow \:m = \dfrac{y_2 - y_1}{x_2 - x_1}$

$\qquad \sf \dashrightarrow \:m = \dfrac{4 - 0}{0 - 1}$

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Now, since we already know the gradient let's find of the equation of line by using its Slope and one of the points using point slope form of line :

$\qquad \sf \dashrightarrow \:y - 4 = m(x - 0)$

$\qquad \sf \dashrightarrow \:y = mx + 4$

Now, plug in the value of gradient ~

$\qquad \sf \dashrightarrow \:y = - 4x + 4$

here we can clearly observe that, the Area under the curve can easily be represented as :

$\qquad \sf \dashrightarrow \:y < - 4x + 4$

Since, all the values of y that lies in the shaded region is smaller than the actual value of y for the corresponding values of x in the equation of line q

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2 years ago

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Evgen [1.6K]

#9 is
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3 years ago

Find the least common denominator for the group of fractions. 5/12, 9/14, 2/5, 1/10

makkiz [27]

9514 1404 393

Answer:

420

Step-by-step explanation:

The prime factors of each denominator are ...

12 = 2²×3

14 = 2×7

5 = 5

10 = 2×5

The unique factors are 2²×3×5×7 = 420.

The least common denominator of these fractions is 420.

_____

Additional comment

5/12 = 175/420
9/14 = 270/420
2/5 = 168/420
1/10 = 42/420

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3 years ago

What did Archimedes discover about the centroid of a triangle? (Site 1)

Anna007 [38]

Answer:

Archimedes showed that the point where the medians are concurrent (the centroid) is the center of gravity of a triangular shape of uniform thickness and density

Step-by-step explanation:

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3 years ago