Answer:
The money of Greg after five years is $80
The money of Sabrena after five years is $160,000
So,The money of Sabrena is more than Greg after five years .
Step-by-step explanation:
Given as :
Greg invested $20 and quadrupled his money in five years
Let the quadrupled money after five years = $x
∵ quadrupled means the money becomes 4 times of previous
So, x = $20 × 4
i.e x = $80
So, The money of Greg after five years is $80
Again
Sabrena invested $20 and after five years money becomes 20 to the fourth power
Let the money after 20 to the fourth power = $y
So, y = 
i.e y = 160,000
So, The money of Sabrena after five years is $160,000
∵ Sabrena money is more than Greg money
Hence, The money of Sabrena is more after five years . Answer
Answer:
The ratio of George age to Carl's age is 1:12.
Step-by-step explanation:
Let the age of George be 'g'.
Let the age of Alex be 'a'.
Also Let the age of Carl be 'c'.
Given:
The sum of their ages is 68.
So equation can be framed as;

Also Given:
Alex is 12 years older than George.
So equation can be framed as;

Now Given:
Carl is three times older than Alex.

But 
So we get;

Now Substituting equation 2 and equation 3 in equation 1 we get;

Subtracting both side by 48 using subtraction property of equality we get;

Now Dividing both side by 5 using Division property of equality we get;

Hence George age 
Now Alex age 
Also Carl's age 
Now we need to find the ratio of George age to Carl's age.

Hence the ratio of George age to Carl's age is 1:12.
<u>Prove that:</u>

<u>Proof: </u>
We know that, by Law of Cosines,
<u>Taking</u><u> </u><u>LHS</u>
<em>Substituting</em> the value of <em>cos A, cos B and cos C,</em>



<em>On combining the fractions,</em>

<em>Regrouping the terms,</em>



LHS = RHS proved.
If the height was 10, then the volume of the cube would be 1000 because you find volume you must multiply the length*width*height and the value of those three is 10.
Now since volume is 1000 and the volume of a 2in cube is 8 (again, lwh=V) you can divide 1000 by 8 and you would get 125. So that means 125 2in cubes can fit inside the bigger cube.
If the volume of this cube were 750in^3 and you had to find the height, you would use the Volume formula again:
l*w*h=V
10*10*h=750
20h=750
((divide both sides of the equation by 20 to find the value of h))
h=37.5
If the surface area of the cube were 680in^2 then you would use the surface area formula to find the value of h:
(2(lw))+(2(lh))+(2(wh))=A
(2(10*10))+(2(10h))+(2(10h))=680
200+20h+20h=680
subtract 200 from both sides of the equation:
40h=480
divide both sides by 40 to get the value of h:
h=12
Answer:
60 for both
Step-by-step explanation:
Since these angles are parallel, they are equal to each other :
6x = 5x + 10
Subtracting 5x from both sides gives us :
x = 10
Substituting this value back into both angles gives us
6x = 60
5x+10 = 60