Answer:
67.5 degrees
Step-by-step explanation:
The angle between the 6 and the 9 = 90 degrees.
WE can say that the hour hand is ' 3/4 of 5 minutes' past the 6.
5 minutes is equivalent to 360 / 12 = 30 degrees.
Thus the angle between the 6 and the hour hand
= 30 * 3/4
= 22.5 degrees.
The required angle is 90 - 22.5
= 67.5 degrees.
So we know that there are 16 ounces in one pound, so let's multiply to find how many cents one pound of jelly beans cost:
And we know that there are 100 cents in one dollar, so let's divide this by 100:
So the jelly beans cost $1.28 per pound.
Answer:
(a) x > 4 (b) y < -2
Step-by-step explanation:
Domain is referring to the x-values while the range is referring to the y-values.
Since the function (the line) has a circle at the point (4, -2), the function will be exclusive at that coordinate.
The line goes to infinity for the x-values from 4, so you write x > 4 or ∞ > x > 4.
Similarly, the line goes to infinity for the y-values from -2, so you write y < -2 or -∞ < y < -2.
If you simplified a two-equation system and all variables were eliminated, two outcomes are possible.
If the final equation is a true equation, like 3=3, then the system has an <em>infinite number of solutions </em> (the equations graph the same line, and all points appear on both graphs)
If the final solution is a mathematically false equation, like 0=-8, the system has no solution. The lines are parallel and never intersect (have a solution)
