Answer:
His test IS a solution.
Step-by-step explanation:
Both LHS and RHS are equal so it is a solution.
Answer:
x=45
Step-by-step explanation:
Since AB is a straight line, it is 180 degrees
AOE + EOF + FOD + DOB = 180
15+x+2x+120-2x = 180
Combine like terms
135 +x = 180
Subtract 135 from each side
135-135 +x = 180 -135
x = 45
The answer is 7% because the sale amount was .70 cents.
Answer:
The correct answer B) The volumes are equal.
Step-by-step explanation:
The area of a disk of revolution at any x about the x- axis is πy² where y=2x. If we integrate this area on the given range of values of x from x=0 to x=1 , we will get the volume of revolution about the x-axis, which here equals,

which when evaluated gives 4pi/3.
Now we have to calculate the volume of revolution about the y-axis. For that we have to first see by drawing the diagram that the area of the CD like disk centered about the y-axis for any y, as we rotate the triangular area given in the question would be pi - pi*x². if we integrate this area over the range of value of y that is from y=0 to y=2 , we will obtain the volume of revolution about the y-axis, which is given by,

If we just evaluate the integral as usual we will get 4pi/3 again(In the second step i have just replaced x with y/2 as given by the equation of the line), which is the same answer we got for the volume of revolution about the x-axis. Which means that the answer B) is correct.