A)How many vertices does it have?

Mathematics

1 answer:

solmaris [256]3 years ago

7 0

5 vertices

7 edges

5 faces

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The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as

NISA [10]

$\bf \qquad \qquad \textit{joint compound proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with \underline{z}} \end{array}\implies y=\cfrac{kx}{z}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{W varies jointly as its width, squared heght and inversely with length}}{W=\cfrac{wh^2}{L}}$

$\bf \textit{now we also know that }~~ \begin{cases} w=\frac{1}{4}\\ h=\frac{1}{3}\\ L=12\\ W=30 \end{cases}\implies 30=\cfrac{~~k\frac{1}{4}\left( \frac{1}{3} \right)^2~~}{12} \\\\\\ 360=\cfrac{k}{36}\implies 12960=k~\hfill \boxed{W=\cfrac{12960wh^2}{L}}$

$\bf \textit{when } \begin{cases} w=\frac{1}{4}\\ h=\frac{1}{2}\\ L=12 \end{cases}\textit{ what is \underline{W}?}\qquad W=\cfrac{12960\left( \frac{1}{4} \right)\left(\frac{1}{2} \right)^2}{12} \\\\\\ W=1080\left( \cfrac{1}{4} \right)\left( \cfrac{1}{4} \right)\implies W=1080\cdot \cfrac{1}{16}\implies W=\cfrac{135}{2}\implies W=67\frac{1}{2}$

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4 years ago

Mr. Harrison has $416 to spend on supplies for his classroom. He will buy a bookshelf and some books. The bookshelf costs $80. H

Studentka2010 [4]

X = bookshelf //// y = books
x + y = 416
416-80 = y4

336 = y4
336/4 = y
84 = y

Mr. Harrison can buy 84 books

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3 years ago

Need help answering this question!

Katarina [22]

Answer:

6.6 i think

Step-by-step explanation:

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3 years ago

The sides of a polygon are 3, 5, 4, and 6. The shortest side of a similar polygon is 9. Find the ratio of their perimeters.

Rainbow [258]

The given polygon has a perimeter of 3 + 5 + 4 + 6 = 18
A similar polygon has sides that are 3 times as big ot 9 + 15 + 12 + 18 = 54

The ratio is 18/54 or 1/3

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3 years ago

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an aquarum has 29 large fish tanks and 1,423 fish need to go into it if the owner wants to split them evenly what is the greates

Shtirlitz [24]

If you divide the number 1423 by 29, you answer will be 49 fish per tank. Hoped this helped

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