Check the picture below on the left-side.
we know the central angle of the "empty" area is 120°, however the legs coming from the center of the circle, namely the radius, are always 6, therefore the legs stemming from the 120° angle, are both 6, making that triangle an isosceles.
now, using the "inscribed angle" theorem, check the picture on the right-side, we know that the inscribed angle there, in red, is 30°, that means the intercepted arc is twice as much, thus 60°, and since arcs get their angle measurement from the central angle they're in, the central angle making up that arc is also 60°, as in the picture.
so, the shaded area is really just the area of that circle's "sector" with 60°, PLUS the area of the circle's "segment" with 120°.
Answer:
30
Step-by-step explanation:
You’re correct
Knowing the fractions increase, the arrow should be pointing to 5/8.
Hope it helped,
Happy homework/ study/ exam!
Answer:
remainder = 32
Step-by-step explanation:
Using synthetic division with divisor (x - 2) , that is h = 2
There is no x³ term so include zero as its coefficient in the table
2 | 3 0 - 3 2 - 8
↓ 6 12 18 40
------------------------------
3 6 9 20 32 ← remainder
Answer:
6.69 cm
Step-by-step explanation:
Given data
Diameter= 12cm
Radius= 6cm
Volume= 757.36cm^3
The expression for the volume of a cylinder is
V= πr^2h
Substitute
757.36= 3.142*6^2*h
757.36=113.112h
h= 757.36/113.112
h= 6.69 cm