Answer:
1.
Anya could find out her volume by multiplying 1.5*1.5*4 and then subracting that from 11*8.5.
Terrence could find out his volume by multiplying 3*3*4 and then subtracting that from 11*8.5
Anya's suggestion would maker a larger volume.
There can be 2 different volumes because someone might cut out more than the other person.
2.
I think there's something missing from this question.
We write the equation in terms of dy/dx,
<span>y'(x)=sqrt (2y(x)+18)</span>
dy/dx = sqrt(2y + 18)
dy/dx = sqrt(2) ( sqrt(y + 9))
Separating the variables in the equation, we will have:
<span>1/sqrt(y + 9) dy= sqrt(2) dx </span>
Integrating both sides, we will obtain
<span>2sqrt(y+9) = x(sqrt(2)) + c </span>
<span>where c is a constant and can be determined by using the boundary condition given </span>
<span>y(5)=9 : x = 5, y = 9
</span><span>sqrt(9+9) = 5/sqrt(2) + C </span>
<span>C = sqrt(18) - 5/sqrt(2) = sqrt(2) / 2</span>
Substituting to the original equation,
sqrt(y+9) = x/sqrt(2) + sqrt(2) / 2
<span>sqrt(y+9) = (2x + 2) / 2sqrt(2)
</span>
Squaring both sides, we will obtain,
<span>y + 9 = ((2x+2)^2) / 8</span>
y = ((2x+2)^2) / 8 - 9
Answer:
66%
Step-by-step explanation:
Divide 79.2 by 120 and multiply by 100
A 360 degrees counter-clockwise rotation will bring the triangle at the same place.
So, divide 1980 by 360 and find the remainder.
On dividing, we can find that
1980 = 5(360) + 180
A 1800 degrees rotation will rotate the triangle 5 times and will bring it in the same place.
A further 180 degrees rotation will rotate the triangle to two quadrants back and will bring it in the first quadrant.
