Since 9 is a factor of an unknown number, that means that that number has to be a multiple of 9. If 9 is the factor of something then that something HAS to be a multiple of 9.
Answer:
w=6
Step-by-step explanation:
P=2(L)+2(w)
48= 2(18)+2w
48=36+2w
12=2w
w=6
checking;
48= 2(18)+2(6)
48= 36+12
48= 48
Answer:
4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 30 = x/8
8 sin 30 =x
8 (1/2) = x
4
Answer:x<-7
Step-by-step explanation:
3x -15x - 30 > 54
-12x-30>54
-12x<54+30
I moved 30 from left side to right which becomes positive and > becomes <
-12x<84
-12x/-12<84/-12 I used my calculator to do this
x<-7
P(t)=500(1+4t/(50+t^2 ))
P'(t) = 500 [(50+t^2).4 - 4t.2t]/(50+t^2)^2
by the quotient rule
500 (-4t^2 + 200)/(t^2 + 50)^2
Hence
P'(2) = 500 . (-16 + 200)/54^2 ~= 31.6
