in a regular polygon each interior angle is 140 greater than each exterior angle calculate the number of sides of each polygon .
1 answer:
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Answer:
y=sin((pi/290)x)
Step-by-step explanation:
If we look at all the coordinates given (0,0),(145,1),(290,0),(435,-1),(580,0) we can draw it out and see what are our maximum and minimum y-value. Once you graph this you will notice that the maximum y-value is 1 and minimum y-value is -1, this is important because we call this our amplitude. Now we will determine our midline, we do so by getting the average of our amplitude so and so our midline is zero. Next we will determine our period in terms of radians we can do so by looking at our period which happens to be 580. This means that the line will repeat itself every 580 on the numberline and so:
Therefore our period in radians is pi/290.
A sine function is such that:
where A is the amplitude, B is the period, and D is the midline. Our amplitude is 1, midline is zero and our period is pi/290 and so our final equation is:
Answer:
In 4 months Wyatt offer an equal number of sandwiches and tacos.
Step-by-step explanation:
We are given the following in the question:
Types of sandwiches = 8
Rate of increase of sandwich = 1 per month
Thus, number of sandwiches in x months will be given by
Types of tacos = 4
Rate of increase of tacos sandwich = 2 per month
Thus, number of tacos in x months will be given by
Equating the two equations, we get,
Thus, in 4 months Wyatt offer an equal number of sandwiches and tacos.
Answer:
0.4167 is the probability of rolling a sum less than 7.
Step-by-step explanation:
We are given the following in the question:
Event: A standard pair of six-sided dice is rolled
A: rolling a sum less than 7
Sample space:
{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
A:
{(1,1),(1,2),(1,3),(1,4),(1,5),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(4,1),(4,2),(5,1)}
Formula:
0.4167 is the probability of rolling a sum less than 7.