Answer:
1003 in standard form = 1.003 × 1000 = 1.003 × 10^3
Answer:
I don't think the answer exist
Step-by-step explanation:
for y=6x
when y=0, x=0 and when x=0, y=0
hence, (x,y)=(0,0)
for y=x+6
when y=0, x+6=0, x=-6 and when x=0, y=6
hence (x,y) = (-6,6)
for y=x^2+6
when x=0, y=6 and when y=0,
x^2+6=0
subtracting 6 from both sides
x^2=-6
take the square root of both sides and get
x=+ or -sqrt(-6)= + or - (2.45i)
i.e. x=+2.45i or x=-2.45i these are complex roots anyway, and its out of point.
for y=2x+6
when x=0, y=6 and when y=0,
2x+6=0,
2x=-6,
x=-3
the coordinates give (x,y)=(-3,6)
conclude....
Answer:
<u>Given :</u>
length offshore = CS=√(1+X^2)
Cable charged = 5000√(1+X^2)
onshore length = 4-X
laying cost = 3000(4-X)
total cost:
C=5000√(1+X^2) +3000(4-X)
DC/DX
= [5000*(0.5)*2X/{√(1+X^2)}]-3000=0... for optimum
5000X=3000√(1+X^2)
25X^2=3+3X^2
22X^2=3
X=√(3/22)
= 0.3693 miles
So, it would be laid offshore to S in a manner that
BS=X=0.3693 miles
Onshore=4-0.3693
=3.6307 miles
Answer:
Step-by-step explanation:
we know that
The area of a regular hexagon is the same that the area of 6 equilateral triangles
The area of 6 equilateral triangles applying the law of sines is equal to
![A=6[\frac{1}{2}b^2sin(60^o)]](https://tex.z-dn.net/?f=A%3D6%5B%5Cfrac%7B1%7D%7B2%7Db%5E2sin%2860%5Eo%29%5D)
where
b is the length side of the regular hexagon
we have
substitute
![A=6[\frac{1}{2}(10)^2sin(60^o)]](https://tex.z-dn.net/?f=A%3D6%5B%5Cfrac%7B1%7D%7B2%7D%2810%29%5E2sin%2860%5Eo%29%5D)
Answer:
See below in bold.
Step-by-step explanation:
1. x/8 = 15/24
Cross multiplying:
24x = 8*15
x = (8*15)/24
x = 5.
2. 5/6 = 35/x
5x = 6*35
5x = 210
x = 210/5
x = 42.
3.<em> </em>18/42
Divide top and bottom by 6:
18 / 6 / 42/6
= 3/7.
4. 15/75
Divide top and bottom by 15:
= 1/5.
