a poster is being designed to advertise an upcoming show. It will be rectangular, and the printer requires a 1 inch margin on all four sides. To keep from paying an oversize fee, the promoter of the show wants the overall height of the poster to be 24 inches. The designer feels like the printed area needs to have a perimeter of about 75 inches. How wide should the poster be to make it as big as possible to meet these conditions?

answer: i guess 105 degrees?

step-by-step explanation:

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi

not sure but it may be b, as i said i'm not sure.

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus