The angle formed by two tangles results in half of the difference of the two arcs.
That is to say
70 = .5(Major arc - minor arc)
Think of the major arc as the larger and the minor the smaller.
So therefore the difference in the two arcs = 140 (multiplying both sides of the above equation by 2.
140 = major arc - minor arc.
Another necessary idea is that the arc of a whole circle = 360 degrees, that is to say the major arc + minor arc = 360, giving us a second equation to solve.
Assuming x is the minor arc.
140 = major arc - x
360 = major arc + x
Use linear combination and add these equations to get
500 = 2*major arc
major arc = 250
minor arc or x = 110.
The answer is 110 degrees.
Answer:
Step-by-step explanation:
To solve this, we are using the average rate of change formula:
where
is the average rate of change
is the first point
is the second point
is the function evaluated at the first point
is the function evaluated at the second point
We want to know the average rate of change of the function 
form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words, 
and 
.
Replacing values
We can conclude that the average rate of change of the exponential equation form x = -3 to x = 0 is
Answer:
75 minutes
Step-by-step explanation:
if it takes 30 minutes to paint 2/5 of the room, then it must take 15 minutes to paint 1/5 of the room.
15 * 5 = 75 minutes or 5/4 hours
Solve x by simplifying both sides of the equation & then isolating the variable x=-4 & the negative comes in from the -12
Answer:
2400 people
Step-by-step explanation:
Let x be the number of people who had a swimming pool in the population of 10,000,
Thus, the ratio of people who had swimming pool to the total population = 
Since, out of 250 people 60 had swimming pool,
So, the ratio of the people who had swimming pool to the total population = 
Hence, 2400 people in the city might one expect to have a swimming pool.
First option is correct.
