An athletic director pays $90 for 12 sun visors for the
softball team. The rate per sun visor is equal to $90 / 12 sun visor = $ 7.5
per sun visor. So the athletic director should pay ($ 7.5 per sun visor)*(15
sun visor) = $ 112.5
Answer:
if it's finding x
#1 x<-1
#2 x<4
Step-by-step explanation:
#1
2x-16<-18
add 16 to both sides
2x<-2
then divide 2 to both sides
x<-1
#2
2x-16+4x<8
add like terms
6x-16+<8
add sixteen to both sides
6x<24
divide six to both sides
x<4
cos (2x) = cos x
2 cos^2 x -1 = cos x using the double angle formula
2 cos ^2 x -cos x -1 =0
factor
(2 cos x+1) ( cos x -1) = 0
using the zero product property
2 cos x+1 =0 cos x -1 =0
2 cos x = -1 cos x =1
cos x = -1/2 cos x=1
taking the arccos of each side
arccos cos x = arccos (-1/2) arccos cos x = arccos 1
x = 120 degrees x=-120 degrees x=0
remember you get 2 values ( 2nd and 3rd quadrant)
these are the principal values
now we need to add 360
x = 120+ 360n x=-120+ 360n x = 0 + 360n where n is an integer
For question 1. a five sided shape has 540° , so if you add all the sides up you get 479, so then you do 540 - 479, to get 61°, which is x
so, x° = 61°
Answer:
Step-by-step explanation:
