An architect's scale drawing of a new school is 8.4 inches

Mathematics

1 answer:

olga2289 [7]2 years ago

4 0

Answer:

33.6

Step-by-step explanation:

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The dimension of a rectangular pool are 24.5 feet by 13 feet. The depth of the water is 4 feet. Each cubic foot contains 7.48 ga

Vilka [71]

Multiply length by width, and height. Than multiply the volume by 7.48 gal. Than you have the amount of water that can fill the whole pool. Than multiply by 0.8. and subtract it from the original volume.

8 0

3 years ago

Read 2 more answers

Please give a worked explanation! Thanks :)

ozzi

When you add any fractions, you need to find a common denominator. In this case they have no common factors so you just multiply them together. First multiply the first fraction by $\frac{x - 2}{x - 2}$ which gets you $\frac{3x - 6}{ x^{2} - 2x}$ . Then multiply the second fraction by $\frac{x}{x}$ to get $\frac{5x}{ x^{2} - 2x}$ . Now you can add them together to get $\frac{-2x - 6}{ x^{2} - 2x}$ .

(b) $\sqrt{18} = \sqrt{9 * 2} = 3 \sqrt{2}$
$\sqrt{72} = \sqrt{36 * 2} = 6 \sqrt{2}$
now you can pull out root 2 and get $\sqrt{2}(3 - 1 + 6)$ which equals $8 \sqrt{2}$

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3 years ago

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hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular h

Vikentia [17]

$Perimter\ of\ equilateral\ triangle\ =36\\ a- \ side\ of\ triangle\\ 36=3a\ |:3\\ a=12\\\\ Area\ of\ equilateral\ triangle:\\ A=\frac{a^2\sqrt{3}}{4}\\ A=\frac{12^2\sqrt{3}}{4}\\ A=\frac{144\sqrt{3}}{4}=36\sqrt3 \\\\ Hegagon\ can\ be\ divided\ into\ 6\ equilateral\ small\ triangles.\\Area\ of\ one\ of\ them: A_s=\frac{A}{6}=\frac{36\sqrt3}{6}=6\sqrt{3}\\ s-side\ of\ equilateral\ =\ side\ of\ small\ triangle\\ A_s=\frac{s^2\sqrt{3}}{4}=6\sqrt{3}\ |*4 \\ s^2\sqrt3=24\sqrt3\ |\sqrt3\\ s^2=24\\ s=\sqrt{24}$ $\sqrt{24}=\sqrt{4*6}=2\sqrt6\\\\
Side\ of\ hexagon\ equals\ 2\sqrt6\ inches$