Answer:
160cm^3
Step-by-step explanation:
5 x 4 x 8 = 160cm^3
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
7.76 to one decimal place
= 7.8
We are looking at one decimal place, in this case the number 7 after the decimal place next to 6. Any number above 5 rounds up the number in front of it. 6 is above 5 so it changes the 7 to an 8.
Answer:
Type that out please I can't read it sideways
Step-by-step explanation:
Answer:
x = 22.5
Step-by-step explanation:
The tangent- secant angle x is half the difference of the measures of the intercepted arcs, that is
(4x + 5 - 50 ) = x ( multiply both sides by 2 )
4x - 45 = 2x ( subtract 2x from both sides )
2x - 45 = 0 ( add 45 to both sides )
2x = 45 ( divide both sides by 2 )
x = 22.5
