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3 years ago

Augustus ruled the roman empire from 27 BC to AD 14.For how many years did he rule?

Mathematics

1 answer:

Semmy [17]3 years ago

4 0

Answer:

40 years

Step-by-step explanation:

He was also the first Roman Emperor

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How do you get the answer for .0003 is 1/10 of?

Hitman42 [59]

0.0003 would be 1/10 of 0.00003. If you divided 0.00003 by 10 you would get 0.0003. In fraction form it is 3/10,000

Hoped this helped.

5 0

3 years ago

A billboard designer has decided that a sign should have 3 ft margins at the top and bottom and 5 ft margins on the left and rig

elixir [45]

Answer:

The width of billboard is "[x]" and the height of billboard is "[y"]. If total area of billboard is $9000 ft^2$ then $9000=xy$

Step-by-step explanation:

• The total width of billboard is [x]. Therefore the width of printed area will be (x-10) by excluding margin of left and right side.

• The total height of billboard is [y]. Therefore the height of printed area will be [(y-6)] by excluding the margin of top and bottom from the total height.

• To find the printed area of billboard calculations are given below:

$& 9000=xy$

$& y=\frac{9000}{x} \\ & A=(x-10)(y-6) \\ & A=xy-6x-10y+60 \\ & A=x\left( \frac{9000}{x} \right)-6x-10\left( \frac{9000}{x} \right)+60 \\ & A=9060-6x-\frac{9000}{x} \\$

On taking the first order derivative of A

$A'=-6+\left( \frac{90000}{{{x}^{2}}} \right)$

$& \left( \frac{90000}{{{x}^{2}}} \right)-6=0 \\ & 6{{x}^{2}}=90000 \\ & x=\sqrt{15000} \\ & y=\frac{9000}{x}=\frac{90000}{\sqrt{15000}}=10\sqrt{150} \\$

• Hence $x=10\sqrt{150}$ and $y=\frac{900}{\sqrt{150}}$

Learn More about Differentiation Here:

brainly.com/question/13012860

7 0

3 years ago

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Use the grouping method to factor x3 + x2 + 2x + 2.

NISA [10]

Therefore the answer is D. (x + 1)(x2 + 2)

4 0

3 years ago

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The city of Houston received 8 more inches of rain than the town of Groesbeck. Which algebraic expression represents the amount

Ivahew [28]

Answer:

8-i=g

Step-by-step explanation:

g= amount of rain Groesbeck gout

i = inches of rain

8 0

2 years ago

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Which point lies on the line with the point slope equation y-2=5 x-6

egoroff_w [7]

(y-y1) = m(x-x1)
y-2 = 5(x-6)

Therefore, point (x1,y1) lies on the line of equation
Therefore, point (6,2) lies on the line with the point slope equation y-2=5(x-6)

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3 years ago

Augustus ruled the roman empire from 27 BC to AD 14.For how many years did he rule?​

Augustus ruled the roman empire from 27 BC to AD 14.For how many years did he rule?