First note the intersections of each pair of lines.
x = 3 ⇒ y = 2•3 + 1 = 7 ⇒ (3, 7)
y = -3 ⇒ -3 = 2x + 1 ⇒ x = -2 ⇒ (-2, -3)
y = -3 and x = 3 ⇒ (3, -3)
Using the disk method, we consider disks with thickness ∆y and radius equal to the horizontal distance between the line y = 2x + 1 (or x = (y - 1)/2) and the axis of revolution, x = 3. Each disk will then contribute a volume of
∆V = π (radius)² (thickness) = π/4 (y - 1)² ∆y
As we let ∆y go to zero and let the number of disks go to infinity, the total volume of the resulting cone will be given by the integral
The picture of the problem has been attached below :
Answer:
13.5
Step-by-step explanation:
Applying the sine rule to solve for x
SinA /a = SinB / b = SinC/ c
Sin 34 / x = Sin 27/11
Cross multiply :
11 * sin34 = x * sin 27
6.1511219 = 0.4539904x
Divide both sides by 0.4539904
6.1511219/0.4539904 = x
13.549 = x
x = 13.5
Answer:
A,D,E
Step-by-step explanation:
scaled copy means the ratio of the two lengths would be same proportional constant.
The proportionality constant for Rectangle A is:
12/3 = 4
So any scaled version will have this proportionality constant same (4).
let's check:
A) 6/1.5 = 4 (OK)
B) 10/2 = 5 (NOT OK)
C) 13/4 = 3.25 (NOT OK)
D) 18/4.5 = 4 (OK)
E) 80/20 = 4 (OK)
So, correct options are A, D, and E
Answer:
45g
Step-by-step explanation: