Answer:
0.225miles per minute for boat and 0.025 miles per minute for current
Step-by-step explanation:
you just gotta love river current problems
lets use the formula d=rt
we're gonna modify it a bit
when your riding in a canoe with the current your going to go faster than against the current so
with the current: d=(r+c)t
against current:d=(r-c)t
where
d=distance
c=rate of water
r=rate of boat
and
t= time
so
4=16(r+c)
4=16r+16c
simplify to
1=4r+4c
2nd equation:
4=20(r-c)
4=20r-20c
solve by elimination:
(1=4r+4c)5
5=20r+20c
-
4=20r-20c
-------------------
1=40c
c=0.025-speed of water
4=20r-20(0.025)
4=20r-0.5
4.5=20r
4.5/20=r
0.225=rate of boat
hope this helps
Answer:
m∠CAO=8º
m∠SAC=82º
Step-by-step explanation:
We know that m∠OAS is 90º because it is a radius to a tangent. This will be useful later.
OA=OB because they are both radii. If we draw a line from A to B, this makes an isosceles triangle ABO with a vertex angle of 32 because of the central angle theorem. This means that m∠OAB and m∠OBA are both 74º.
Isosceles triangle CAB is also formed with the construction of AB. Using the inscribed angle theorem, we can find ACB, which is 16º. Solve for the other angles and you get 82º. To find m∠CAO, subtract m∠OAB from m∠CAB, and this returns 8.
To find m∠SAC, subtract m∠CAO from m∠OAS, which is 90º-8º, and you get 82º.
(2 - 3i) + (8 - 2i)
Get rid of all of the parenthesis.
2 - 3i + 8 - 2i
Combine like terms.
(-3i - 2i) + (2 + 8)
Simplify.
-5i + 10
~Hope I helped!~
Answer: Sales of jackets increased 18.8 percentage points faster than total coat sales.
Step-by-step explanation:
From the given pie-charts, Sales of jackets in 2006=213
Sales of jackets in 2007= 285
The percentage increase in sale of jacket =
Total sales in 2006=
Total sales in 2007=
bbb
The percentage increase in total coat's sales =
Clearly, 33.8 >15
Hence, the percentage increase in sales of jackets is greater than percentage increase in the total coat's sales.
Difference in percent of total coats sales and jackets sales =
Hence, Sales of jackets increased 18.8 percentage points faster than total coat sales.