Suppose at one point along the nile river a ferryboat must travel straight across a 1.40-mile stretch from west to east. at this location, the river flows from south to north with a speed of 2.35 m/s. the ferryboat has a motor that can move the boat forward at a constant speed of 21.8 mph in still water. in what direction should the ferry captain direct the boat so as to travel directly across the river?

  about 14° south of east

Step-by-step explanation:

The river speed is about ...

  (2.35 m/s)×(1 mi/(1609.344 m))×(3600 s)/(1 h) ≈ 5.2568 mi/h

The angle of interest is such that its sine is the ratio of river speed to boat speed:

  sin(α) = (5.2568 mi/h)/(21.8 mi/h) = 0.241138

  α = arcsin(0.241138) = 13.9537°

Since the river is flowing north, the boat should be directed south of its intended course by this angle.

The boat should be directed 14° south of east.

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.