The regular period is 2pi. If you look up or type in a graphing calculator you can see that's when the sine function starts to repeat itself.
to find the vertical height
multiply the tangent of the angle by the horizontal distance
so tan(12) x 5 = 1.0628
rounded to nearest hundredth = 1.06 miles
Answer:
An event with a probability of 0 is impossible.
An event with a probability of 1 is certain.
Step-by-step explanation:
Probability is typically expressed in terms of a fraction between 0 and 1 where the denominator is the total number of outcomes and the numerator is the number of desired outcomes. Since probability is expressed as a fraction, if the probability is 0, that means it is impossible, or there is no chance that the event can happen. However, if the probability is 1, that means that the event is certain to happen and the odds are completely in your favor that the event will happen.
Answer:
37.5 acres.
Step-by-step explanation:
Fraction of his land where vegetables are grown
= 1 - 1/3 - 2/3 *3/5
(after taking away 1/3 we get 2/3 and the farmer uses 3/5 of this 2/3 to grow Maize.
= 1 - 1/3 - 6/15 LCD of 3 and 15= 15 so we write:
= 1 - 5/15 - 6/15
= 1 - (5+6)/16
= 1 - 11/15
= 4/15.
4 /15 is equivalent to 10 acres
so total area (= 1) = 10 / 4/15 Invert the 4/15 and multiply:
= 10 * 15/4
= 150/4
= 37.5 acres.
