Answer:
9.000000001
Step-by-step explanation:
If the hypotenuse is 15, the ladder, facing the right angle, and the opposite is 12 we need to use SOH to find the angle.
sin of angle is opposite / hypotenuse
sin of angle is 12 / 15
12/15 = 0.8
sin^-1 of 0.8 = 53.13010235
Angle is that
Then we do this again but a different equation
cos of angle is adjacent (x which we are looking for) / hypotenuse
cos of 53.13... is x / 15
(15 x cos of 53.13... )is x
So 15 x cos of 53.13... is 9.000000001 feet away.
Answer:
160 cars
Step-by-step explanation:
The computation of the number of more cars he washed this year is given below;
Last year, he washed 20 cars a week so on yearly basis he washed
= 20 cars × 52 weeks
= 1,040 cars
And, this year he washed 1,200 cars
So, the number of more cars he washed this year is
= 1,200 cars - 1,040 cars
= 160 cars
Answer: I think that answers.com has the question and answer
Step-by-step explanation:
A variable is a symbol that’s used in a number. It typically uses a variation of letters such as x,y,etc. for instance 3x=6
let
r--------> Alvin's average paddling rate in km/hour
y -------> speed of the current
in km/hour
we know that
speed= distance/time
------> solve for distance
distance=speed*time
to Campsite against the current
speed=r-y-----> speed=(r-3)
time=8 hours
distance=(r-3)*8------> equation 2
From Campsite with the current
speed=r+y-----> speed=(r+3)
time=3 hours
distance=(r+3)*3------> equation 1
equate equation 1 and equation 2-----> because is the same distance
(r+3)*3=(r-3)*8----> 3r+9=8r-24----> 8r-3r=24+9-----> 5r=33----> r=6.6 km/hour
therefore
the answer is
Alvin's average paddling rate is 6.6 km/hour
