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irina [24]
3 years ago
7

Each side of the square base is 5 inches long and the height of the pyramid is 5 inches. Approximately how much wood is in the p

yramid?
Mathematics
1 answer:
kvv77 [185]3 years ago
5 0

Answer: 41.67\ in.^3

Step-by-step explanation:

Given

The side of the square base is 5 inches

height of the pyramid is 5 inches

The volume of a square pyramid is

V=\dfrac{1}{3}a^2h

Putting the values

\Rightarrow V=\dfrac{1}{3}\times 5^2\times 5\\\\\Rightarrow V=41.67\ in.^3

The pyramid contains 41.67\ in.^3 of wood

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Step-by-step explanation:

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Together they washed 11/15 of the laundry so 4/15 is left to wash.

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What is the value of y in the solution to the following system of equations? 5x − 3y = −11 2x − 6y = −14 −1 0 1 2
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5x - 3y = -11 (×2)
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3 years ago
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Read 2 more answers
In △ABC, point D∈AC
Maslowich
<h3>Answer:</h3>
  • ABDC = 6 in²
  • AABD = 8 in²
  • AABC = 14 in²
<h3>Explanation:</h3>

A diagram can be helpful.

When triangles have the same altitude, their areas are proportional to their base lengths.

The altitude from D to line BC is the same for triangles BDC and EDC. The base lengths of these triangles have the ratio ...

... BC : EC = (1+5) : 5 = 6 : 5

so ABDC will be 6/5 times AEDC.

... ABDC = (6/5)×(5 in²)

... ABDC = 6 in²

_____

The altitude from B to line AC is the same for triangles BDC and BDA, so their areas are proportional to their base lengths. That is ...

... AABD : ABDC = AD : DC = 4 : 3

so AABD will be 4/3 times ABDC.

... AABD = (4/3)×(6 in²)

... AABD = 8 in²

_____

Of course, AABC is the sum of the areas of the triangles that make it up:

... AABC = AABD + ABDC = 8 in² + 6 in²

... AABC = 14 in²

6 0
3 years ago
point O lies between points M and P on a line. OM = 34z and OP = 36z -7. if point N is the midpoint of MP, what algebraic can yo
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N=1/2MP? Since n would be the midpoint you have to divide the segment into two.
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