answer
10
step-by-step explanation
the equation given is sin(x) = cos(y) with x = 2k + 3 and y = 6k + 7
substitute in 2k+ 3 for x in sin(x) and substitute in 6k + 7 for y in cos(y)
sin(x) = cos(y)
sin(2k + 3) = cos(6k + 7)
we know that sin(x) = cos(90 -x)
sin(2k + 3)
= cos(90 - (2k + 3) )
= cos(90 - 2k - 3)
= cos(87 - 2k)
substitute this into the equation sin(2k + 3) = cos(6k + 7)
sin(2k + 3) = cos(6k + 7)
cos(87 - 2k) = cos(6k + 7)
87 - 2k = 6k +7
80 = 8k
k = 10
2^4-8x2/4 (PEMDAS) Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction
first you want to do exponents.. so 2x2x2x2 = 16
then you want to do multiplication so.. -8x2 = -16
now you have.. 16-16/4 .. then you want to do division so divide -16 by 4 and get -4
then you're left with 16-4 which is 12
THE ANSWER IS 12
Answer:
-4 < -13(a+6)-17
-4<-13a+(-78)-17
-4<-13a+(-95)
-4<-13a-95
91<-13a
-91>13a
-7>a
Step-by-step explanation:
Area = 2pi*r*h + 2pi*r^2
Area = 2pi*r(h + r)
radius of 7 in and a height of 32 in
Area = 14pi*39 = 546pi in^2