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mojhsa [17]
4 years ago
10

Given a cube with a volume of 27 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?

Mathematics
2 answers:
Artist 52 [7]4 years ago
6 0
It's nine. You rom FLVS too?
Arturiano [62]4 years ago
5 0

Answer:

9cm3

Correct on quiz

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PLEASE PLEASE HELP ME WITH THSI MATH PROBLEM!!!
S_A_V [24]

Answer:

23

Step-by-step explanation:

area of a trapezoid = 1/2 × (a + b) × h

so, we have

96 = 1/2 × ((4x - 1) + (x + 3)) × 6 = (5x + 2) × 3

32 = 5x + 2

30 = 5x

x = 6

a = 4x - 1 = 4×6 - 1 = 24 - 1 = 23

4 0
2 years ago
One month Tammy rented 2 movies and 6 video games for a total of $ 42 . The next month she rented 5 movies and 3 video games for
jeka94

Answer:

The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

Step-by-step explanation:

Let the rental cost of 1 movie be m.

Let the rental cost of 1 video game be v.

One month, Tammy rented 2 movies and 6 video games for a total of $42. This means that:

2m + 6v = 42 ________ (1)

The next month she rented 5 movies and 3 video games for a total of $30. This means that:

5m + 3v = 30 _________(2)

We now have two simultaneous equations:

2m + 6v = 42 ________ (1)

5m + 3v = 30 _________(2)

Multiply (2) by 2, and we have:

2m + 6v = 42 __________ (1)

10m + 6v = 60 _________ (3)

Subtract (1) from (3):

 10m + 6v = 60

-<u> 2m + 6v = 42</u>

 <u>  8m     =     18</u>

=> m = 18 / 8

m = $2.25

Put the value of m back in (1):

2(2.25) + 6v = 42

4.5 + 6v = 42

=> 6v = 42 - 4.5 = 37.5

v = 37.5 / 6

v = $6.25

Therefore, the rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

3 0
3 years ago
A truck can be rented from company A for $130 a day plus $0.20 per mile. Company B charges $50 a day plus $0.60 per mile to rent
grin007 [14]

Answer:

200 miles

Step-by-step explanation:

<u>Company A</u>

  • Daily charge = $130
  • Per mile = $0.20
  • x miles per day = 130 + 0.2x

<u>Company B</u>

  • Daily charge = $50
  • Per mile = $0.60
  • x miles per day = 50 + 0.6x

<u>Assume x miles that makes same amount for both options, then:</u>

  • 130 + 0.2x = 50 + 0.6x
  • 0.6x - 0.2x = 130 - 50
  • 0.4x = 80
  • x = 80/0.4
  • x = 200 miles

3 0
3 years ago
Sara invests $1,200 each year in an IRA ( 12 years in an account that earned 5%
Sati [7]
A)

\bf \qquad \qquad \textit{Future Value of an ordinary annuity}&#10;\\\\&#10;A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]&#10;\\\\

\bf \begin{cases}&#10;A=&#10;\begin{array}{llll}&#10;\textit{original amount}\\&#10;\textit{already compounded}&#10;\end{array}&#10;\begin{array}{llll}&#10;&#10;\end{array}\\&#10;pymnt=\textit{periodic deposits}\to &1200\\&#10;r=rate\to 5\%\to \frac{5}{100}\to &0.05\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{each year, once}&#10;\end{array}\to &1\\&#10;&#10;t=years\to &12&#10;\end{cases}

B)

let's say after 12years, she ended up with a value of say "P"
so.. now she's just sitting on P, making no more deposits to it
just taking whatever the compound 5% interest will give, thus

\bf \qquad \textit{Compound Interest Earned Amount}&#10;\\\\&#10;A=P\left(1+\frac{r}{n}\right)^{nt}&#10;\qquad &#10;\begin{cases}&#10;A=\textit{compounded amount}\\&#10;P=\textit{original amount deposited}\to &\boxed{P}\\&#10;r=rate\to 5\%\to \frac{5}{100}\to &0.05\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{again, is only once}&#10;\end{array}\to &1\\&#10;&#10;t=years\to &11&#10;\end{cases}


C)

from A) she made 1,200 every year, for 12 years that's 1200*12, that's how much she put out of pocket, if you got an amount P from A), then the interest is just the difference, or P - (1200*12)

from B), she started with an original amount of P, and ended up with a compounded amount of A after 11years, so the interest is just also the difference, or A - P

add those two folks together, and that's the total interest she got for the 23  years



4 0
4 years ago
ILL GIVE BRAINLIEST
kvv77 [185]

Answer:

I would tell them to buy a ps5 for me

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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