Answer:
c=19.21
<C=90
<B=38.66°
<A=51.34
Step-by-step explanation:
12²+15²=c²
144+225=c²
c=19.21
<C=90
For angle B, the sinB=Opposite over Hypotenuse
sinB=12/19.21
sinB=0.62467
B=sin^-1(0.62467)
<B=38.66°
To find A, 180-90-38.66
<A=51.34
Answer:
4+(n-1)*6= -2n+4
Step-by-step explanation:
$409.80.
The amount of net profit the store makes on each container is given by 1.67-0.83 (the amount it is sold for subtracted by the amount it costs the store), which is $0.84 per container. They sell 470 containers, so the net profit at this point is 470(0.84) = $394.80.
However, since the distributor is giving the store a $0.50 refund on all every container under 500 that the store sells, the store gets additional money back:
500-470 = 30 containers not sold
30(0.50) = 15
So the total profit is $394.80 + 15 = $409.80.
Let
. Then
, and differentiating both sides with respect to
gives
Now, when
, you get
You have
, so
and
. So
