Answer:
90. 04987916
Step-by-step explanation:
Let HI be a
and GH be c
and GI be b
and <GHI be B
Using the law of Cosines,
b^2= -2ac cos (B) + c^2 + a^2
= -2(42)(60) cos (123)+60^2+42^2
= -5040 cos (123) +3600+1764
= -5040(-0. 544639035) +5364
= 2744. 980736+5364
b^2= 8108. 980736
b= Sqrt ( 8108. 980736)
b= 90. 04987916
The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches
Answer:
$8,050 total
Step-by-step explanation:
notebooks: 13×400=5200
desktop: 19×150=2850
Step-by-step explanation:
Formula is:
x=(-b± √b^2-4ac)/2a
a= 1
b= -8
c= 17
x= (-(-8)±√64-4(1)(17))/2
x= (8±√-4)/2
now
x1= (8+√-4)/2
x2=(8-√-4)/2
Step-by-step explanation:
3 groups with 6 flowers in each group
or
2 groups with 9 flowers in each group
or
6 groups with 3 flowers in each group
or
9 groups with 2 flowers in each one
