Step-by-step explanation:
Solve for xsin3⁡x+cos3⁡x=1" role="presentation" style="margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">xsin3x+cos3x=1xsin3x+cos3x=1
sin3⁡x+cos3⁡x=1(sin⁡x+cos⁡x)(sin2⁡x−sin⁡x⋅cos⁡x+cos2⁡x)=1(sin⁡x+cos⁡x)(1−sin⁡x⋅cos⁡x)=1" role="presentation" style="margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">sin3x+cos3x=1(sinx+cosx)(sin2x−sinx⋅cosx+cos2x)=1(sinx+cosx)(1−sinx⋅cosx)=1
Answer:
1 19/75
Step-by-step explanation:
Turn 6 4/15 into an improper fraction= 94/15
Dividing a fraction is multiplying it by its reciprocal
94/15*1/5= 94/75
Last turn the improper fraction into a mixed number= 1 19/75
30% of 40 = 0.30(40) = 12......so 12 tables seat 4 people per table = 12 x 4 = 48 seats.......tables remaining seat 22 people (22 seats).
48 + 22 = 70 seats total
Answer:
I am pretty sure that the answer is 18+2n
Answer:
The cost to rent each chair and each table are $1.5 and $8.75 respectively
Step-by-step explanation:
Let x represent 1 chair
Let y represent 1 table
Therefore
3x + 2y = 22 ------------(1)
5x + 6y = 60 ------------(2)
Multiply (1) by 5 and (2) by 3
15x + 10y = 110 ----------(3)
15x + 18y = 180 ------------(4)
Subtract (3) from (4)
8y = 70
Divide through by 8
y = $8.75
Substitute y = 8.75 in (1)
3x + 2y = 22
3x + 2(8.75) = 22
3x + 17.5 = 22
Collect like terms
3x = 22 - 17.5
3x = 4.5
Divide through by 3
x =$1.5