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lys-0071 [83]
1 year ago
5

What is the volume of the pyramid shown below?

Mathematics
1 answer:
Ugo [173]1 year ago
6 0

Answer:

Step-by-step explanation:

V=\frac{lwh}{3}

l = base length

w = base width

h = pyramid height

V = \frac{7.6.9}{3}= 126

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option B

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Find the positive integer n for which 98! x 9900 = n!
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3 years ago
The sum of four times a number and five times another number is -28. The sum of nine times the first number and two times the se
Rina8888 [55]

Answer:

<h2>3 and -8</h2>

Step-by-step explanation:

x,\ y-the\ numbers\\\\\text{The sum of four times a number and five times another number is -28:}\\\\4x+5y=-28\\\\\text{The sum of nine times the first number and two times the second number is 11:}\\\\9x+2y=11\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}4x+5y=-28&\text{multiply both sides by2}\\9x+2y=11&\text{multiply both sides by (-5)}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}8x+10y=-56\\-45x-10y=-55\end{array}\right}\qquad\text{add both sides of the equation}

.\qquad-37x=-111\qquad\text{divide both sides by (-37)}\\.\qquad\qquad\boxed{x=3}\\\\\text{Put the value of x to the first equation:}\\\\4(3)+5y=-28\\12+5y=-28\qquad\text{subtrac 12 from both sides}\\5y=-40\qquad\text{divide both sides by 5}\\\boxed{y=-8}

3 0
3 years ago
Since 2005, the amount of money spent at restaurants in a certain country has increased at a rate of 8% each year, In 2005, abou
Kryger [21]

Answer:

This is an exponential growth problem.

 

The growth rate is 4% (0.04).

The time is 10 years (10 years from 2005 to 2015)

 

A = P(1+i)t

A = amount spent in 2015

P = amount spent in 2005

i = interest rate expressed as a decimal

t = # years

 

A = 500(1.04)10

A = 500(1.480244)

A = 740.122 ==> 740 billion

Step-by-step explanation:

3 0
3 years ago
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