Answer:
{0, 150} degrees
Step-by-step explanation:
Given 2cos^2x-cost-1=0, let's simplify this problem by temporarily replacing cos x with y:
2y^2 - y -1 = 0
This can be solved by factoring: (2y + 1)(y - 1) = 0. From this we get two solutions: y = -1/2 and y = 1.
Remembering that we let y = cos x, we now solve:
cos x = -1/2 and cos x = 1.
Note that cos x = 1 when x = 0 and the "adjacent side" coincides with the hypotenuse.
cos x = -1/2 when the hypotenuse is 2 and the "adjacent side" is -1. This has two solutions between 0 and 360 degrees: 150 degrees and 270 degrees.
Four answer choices are given. Both (a) (0 degrees) and (b) (150 degrees) satisfy the original equation. Thus, the solution set is {0, 150} (degrees).
Answer:
$6.10 per rose, i would say that it is not the best deal.
Hope this helps!!
Answer:
24.99 cm
Step-by-step explanation:
We are provided with the radius of the circle so we can use that to solve for the circumference(perimeter) of the circle. The formula to solve for the circumference is 2*pi*r.
2*pi*7 = 14pi = 43.98 cm
Although this is the circumference of the entire circle... To solve for the circumference of a quarter-circle we must find the quarter of that:
43.98 * 1/4 = 10.99 cm
We are already provided with the other two sides, which are both equal to 7 cm since they are radii.
Perimeter = 10.99 +7 + 7 = 24.99 cm
Hope this helps!
1 gallon=4 quarts=8 pints
1quart=2pints
2 gallons=4*2=8quarts=16pints
2 containers are 1 quart
8-2=6 quarts left
6quars=xpints
12pint=xpints
12 pint containers
