Answer:
288 pi or 904.22
Step-by-step explanation:
(4/3) × pi × r³
(4/3) × pi × 6³
288pi or
288 × 3.14 = 904.32 units³
I am not sure but my answer came out to 10 different arrangements.
Answer:8 cm by 10 cm
Step-by-step explanation:
8*2+10*2=36
8*10=80
Answer:
the first option 40 degrees
Step-by-step explanation:
the outward angle at the center of the circle between the two tangential points is 220 degrees.
that means that the inward angle between them is
360 - 220 = 140 degrees.
now consider that there is a triangle between the center of the circle, one of the tangential points (it does not matter which one, as the upper and the lower triangles are equal) and the point R.
we know the angle at the tangential point : 90 degrees by definition (otherwise it would not be a tangent).
and we know the angle at center of the circle, which is half of the inward angle
140 / 2 = 70 degrees.
and at point R we have half of the full angle R.
we can calculate that half by using the fact that the sum of all angles in a triangle is always 180 degrees.
180 = 90 + 70 + R/2
180 = 160 + R/2
20 = R/2
R = 40 degrees
Solve for 1 variable
solve for x in second
add 2y to both sides
x=2y-5
sub 2y-5 for x in first equation
2(2y-5)-5y=-14
4y-10-5y=-14
-10-y=-14
add 10 to both sides
-y=-4
times -1
y=4
sub
x=2y-5
x=2(4)-5
x=8-5
x=3
x=3
y=4
(3,4)
