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ziro4ka [17]
2 years ago
8

Find the volume of the square pyramid ​

Mathematics
2 answers:
inna [77]2 years ago
4 0

To find the volume of square pyramid, We use the formula that given below.

{x}^{2}  \times  \frac{y}{3}

where x is base and y is height. So, let's substitute the values.

{10}^{2}  \times  \frac{18}{3}

It gives

600 {cm}^{3}

lara31 [8.8K]2 years ago
4 0
<h3><u>Ⲁⲛ⳽ⲱⲉⲅ</u><u>:</u></h3>

‎ㅤ‎ㅤ‎ㅤ~Volume of the given square pyramid is 600cm³

‎ㅤ

<h3><u>Ⲋⲟⳑⳙⲧⳕⲟⲛ :</u></h3>

Volume of square pyramid is given by:

\qquad\maltese\quad{\pmb{ \sf { V = \dfrac{1}{3} ( base\:area)\times height}}}

Here, we have:

  • Height= 18 cm
  • Base length = 10 cm
  • Area of square = side × side

<h3><u>Ⲧⲏⲉⲅⲉ⳨ⲟⲅⲉ</u><u>,</u></h3>

\quad\dashrightarrow\quad \sf {V = \dfrac{1}{3}\times 10\times 10\times 18 }

\quad \dashrightarrow \quad \sf {V =\cancel{\dfrac{1800}{3} } }

\quad \dashrightarrow \quad \sf {V = 600cm^3 }

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ~<u>Hence,</u><u> </u><u>the </u><u>volume </u><u>of </u><u>given </u><u>square </u><u>pyramid </u><u>is </u><u>6</u><u>0</u><u>0</u><u>c</u><u>m</u><u>³</u><u>.</u>

\rule{350pt}{1pt}

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Mary pays income tax according to the graduated schedule shown below. A 3-column table with 6 rows. Column 1 is labeled If taxab
Katarina [22]

Answer:

$13564

Step-by-step explanation:

\left|\begin{array}{c|c|c}$If taxable&& \\$income&&\\$ is over&$but not over&$the tax is\\---&---&---\\$0 &7,825 &$10\%  of the amount over 0\\7,825 &31,850 &$782.50 plus $15\% $ of the amount over 7,825$ \end{array}\right|\left|\begin{array}{c|c|c}31,850 &77,100 &$4,386.25 plus 25\%  of the amount over 31,850 \\77,100 &160,850 &$15,698.75 plus 28\%  of the amount over 77,100\end{array}\right|

\left|\begin{array}{c|c|c}160,850 &349,700 &$39,148.75 plus 33\%  of the amount over 160,850 \\349,700 &$no limit&$101,469.25 plus 35\%  of the amount over 349,700\end{array}\right|

Mary’s taxable income= $68,562

From the table, If taxable income is over $31,850 but not over $77,100

The tax = $4386.25 + 25% of the amount over 31,850

Amount over $31,850=$68,562-$31,850

=$36,712

Therefore:

Mary's tax = $4386.25 + (25% of $36,712)

=$4386.25 +9,178

=$13564.25

=$13564 (to the nearest dollar)

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Which term can be added to the list so that greatest common factor of the three terms is 12h^3? 36h^3 12h^6. 6h^3. 12h^2. 30h^4.
Juliette [100K]

Answer:

Last Option 48h^{5}.

Step-by-step explanation:

In this question we will do the factors of given two terms then we will do the common factors of all the terms given in answer to match with.

Common factors of 36h³ = 1×2×2×3×3×h×h×h

Common factors of 12h^{6} = 1×2×2×3×h×h×h×h×h×h

In these two terms greatest common factor Of these two terms is = 1×2×2×3×h×h×h = 12h³

Therefore the third term will be the number which has the greatest common factor = 12h³

So the given terms are

6h³ = 1×2×3×h×h×h

12h² = 1×2×2×3×h×h

30h^{4} = 1×2×3×5×h×h×h×h

48h^{5} = 1×2×2×2×2×3×h×h×h×h×h

Therefore the greatest common factor of the term which matches with 12h³ is 48h^{5}

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1. Write a ratio and a percent for the shaded area. (1 point)
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Answer:

3/10, 30%

Step-by-step explanation:

the shaded region is 9/30 which is equivilent to 3/10 and 3/10is 30 percent.

hope this helps!

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116

Step-by-step explanation:

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