The shaded region is actually a sector and the formula for the area of a sector is:
central angle/360 x pi x radius squared, which is basically a fraction of the area of the circle. With this basic background knowledge, all we have to do is substitute the values into the formula.
(80/36) x pi x 81
= 80/4 x pi x 9
= 720/4 x pi
= 180pi cm squared.
Answer:
Yes, it is directly proportional.
Step-by-step explanation:
Since Anna does a sit-up at a certain amount of time, then we have two quantities we are comparing: a sit up and the amount of time it takes.
It is said that the tired she gets, the more time she uses. Therefore, as her tiredness increases, the amount of time also increases. This implies that the quantities are proportional, directly proportional.
Answer:
They are proportional
Step-by-step explanation:
Y/X represents coordinates Y being rise X being run. So Y/X is equal to rise/run. If there was a coordinate grid, if the two points created a straight line that slant to the right I would be proportional. Since all I see is rise/run= 5 they are proportional. 5 represents the slope.
Answer: Line AC = 16
Step-by-step explanation: We have two angles and one side given. The side given is facing one of the angles so we apply the Sine Rule;
a/SinA = b/SinB
We can now substitute values as follows;
AC/Sin 77 = 14/Sin 58
We cross multiply and we have
AC = (14 x Sin 77)/Sin 58
AC = (14 x 0.9744)/0.8481
AC = 13.6416/0.8481
AC = 16.08
Approximately, Line AC = 16.
