Pyramid A has a volume of 60 mm cubed and pyramid B has a volume of 937.5 mm cubed. What is the ratio of their heights?

1 answer:

3 0

We know that
volume pyramid A=[scale factor]³*volume pyramid B
so
scale factor=∛[volume pyramid A/volume pyramid B]
scale factor=∛[60/937.5]----> scale factor=0.4

<span>the ratio of their heights is equal to the scale factor
hA/hB=0.4</span>

You might be interested in

Please help! This is homework that’s due tomorrow and it’s the only problem I have left.

katrin [286]

Answer:

4 flights of stairs in 5 minutes

Step-by-step explanation:

8/10 times 5

3 0

3 years ago

What is the rate of change between (-32,0) and (-31,2)

Brums [2.3K]

2-0/ -31 - -32
= 2-0/ -31 + 32
= 2/1
= 2

8 0

2 years ago

Clarissa got a part time job during the first week she earned $439.50. During the second and third week she worked a total of 62

iren2701 [21]

Answer:

$2063.44

Step-by-step explanation:

1st week = $439.50

2nd and 3rd week = 62 hours and each hour = $22.79

Total amount earned in 2nd and 3rd week = 62 * 22.79 = $1412.98

4th week = 48% of what she earned in her first week = 48% of $439.50

4th week = (48 / 100) * 439.50 = $210.96

Total amount she earned = 1st week + 2nd & 3rd week + 4th week

Total amount = $439.50 + $1412.98 + $210.96

Total amount = $2063.44

She earned a total of $2063.44

6 0

3 years ago

What is the distance between R(–3, 1) and S(4, 5)?<br><br> Round to the nearest tenth.

Fed [463]

The answer is (-7,4)

$\binom{ - 3}{1} - \binom{4}{5} = \binom{ - 7}{4}$

good luck

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E%7B2%7D-1%7D%7B2-5a%7D%20times%20%5Cfrac%7B15a-6%7D%7Ba%5E%7B2%7D%2B5a-6%7D" id=

stepan [7]

$\bf \cfrac{a^2-1}{2-5a}\times \cfrac{15-6}{a^2+5a-6}\\\\
-----------------------------\\\\
recall\quad \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
thus\quad a^2-1\iff a^2-1^2\implies (a-1)(a+1)
\\\\\\
now\quad a^2+5a-6\implies (a+6)(a-1)\\\\
-----------------------------\\\\
thus
\\\\\\
\cfrac{a^2-1}{2-5a}\times \cfrac{15-6}{a^2+5a-6}\implies \cfrac{(a-1)(a+1)}{2-5a}\times \cfrac{3(5a-2)}{(a+6)(a-1)}\\\\
-----------------------------\\\\
$

$\bf now\quad 3(5a-2) \iff -3(2-5a)\\\\
-----------------------------\\\\
thus
\\\\\\
\cfrac{\underline{(a-1)}(a+1)}{\underline{2-5a}}\times \cfrac{-3\underline{(2-5a)}}{(a+6)\underline{(a-1)}}\implies \cfrac{-3(a+1)}{a+6}$

6 0

3 years ago