PLEASE HELP!! Need to finish my quiz!!

Mathematics

1 answer:

matrenka [14]3 years ago

3 0

Answer:

Square

Step-by-step explanation:

Given are 3 options with same dimension of 12 feet. The condition is base area should be minimum for maximum volume

A) A hemisphere has

$V=\frac{2}{3} \pi (\frac{12}{2} )^3\\=452.57\\Base area = \pi (\frac{12}{2} )^2\\=113.04\\Ratio=4.00$

B) A cube with side length 12 ft

$V=6^3 =216\\Base area = 36\\Ratio = 6$

C) A cone with diameter 12 ft and height 10 ft

$V=\frac{1}{3} \pi(6^2)10\\=377.14\\Base area =113.04\\Ratio =3.34\\$

D) A square pyramid

$V=\frac{lwh}{3} \\=\frac{144(9)}{3} \\=432\\Base area = 144\\Ratio =3$

To maxmize the ratio of floor area to volume, we have to maximise the ratio of volume to floor area

Hence of these 4 figures square is the best one that meets the criteria

You might be interested in

Travis has a savings account that his parents opened for him. It pays 6% annual interest. His uncle also opened an account for h

mezya [45]

So let's say the amounts are "a" and "b", at 6% and 8% respectively.

how much is 6% of a? well (6/100) * a, or 0.06a.
how much is 8% of b? well (8/100) * b, or 0.08b.

so hmm whatever "a" and "b" amounts are, we know that their yield is $100, thus 0.06a + 0.08b = 100.

now, there's more money in "a" than in "b", 500 bucks more, so whatever "b" is, we know that a = b + 500.

$\bf \begin{cases}
0.06a+0.08b=100\\
\boxed{a}=b+500\\
----------\\
0.06\left( \boxed{b+500} \right)+0.08b=100
\end{cases}
\\\\\\
0.06b+0.08b+30=100\implies 0.02b=70\implies b=\cfrac{70}{0.02}
\\\\\\
b=3500$

how much was deposited in the 6% one? well, a = b + 500.

8 0

3 years ago

Plz i need help am i am new an plz help help

Dafna11 [192]

Answer:

5) 64

3) a loaf of bread

6) 2

4) see saw

Step-by-step explanation:

6 0

3 years ago