Answer:
312π mm^2
Step-by-step explanation:
to find the volume of the figure, you have to calculate the volume of a cone and the volume of a sphere divided it by 2.
The volume of a cone is 1/3 * π * r ^ 2 * h, replacing the information:
V = 1/3 * (6) ^ 2 * (14) = 168π mm^2
The volume of a sphere is 4/3 * π * r ^ 3, replacing the information:
V = 4/3 * π * (6) ^ 3 = 288π mm^2
but since you only have half the sphere
V = 288π / 2 = 144π mm^2
then the total volume is
Vt = 168π + 144π = 312π mm^2
Well you find how much the error was and divide it by the amount he predicted.
30/230= 0.13 0.13=13%
Answer:
December at -10
Step-by-step explanation:
first you rule out all positive numbers
then you finder the biggest number with a negative side and that is you lowest temperature
9514 1404 393
Explanation:
Here's one way to go at it.
Draw segments AB and CO. Define angles as follows. (The triangles with sides that are radii are all isosceles, so their base angles are congruent.)
x = angle OAB = angle OBA
y = angle OAC = angle OCA
z = angle OBC = angle OCB
Consider the angles at each of the points A, B, C.
At A, we have ...
angle CAB = x + y
At B, we have ...
angle CBA = x + z
At C, we have ...
angle ACB = y + z
The sum of the angles of triangle ABC is 180°, as is the sum of angles in triangle ABO. This gives ...
x + x + ∠AOB = (x+y) +(x+z) +(y+z)
∠AOB = 2(y+z) = 2∠ACB
This shows ∠AOB = 2×∠C, as required.
