Answer:
Let b = rate of the boat.
Let r = rate of the river.
The rate going downstream is b + r.
The rate going upstream is b - r.
rate x time = distance
4(b + r) = 144 ---> b + r = 36 [divide both sides by 4]
9(b - r) = 144 ---> b - r = 16 [divide both sides by 9]
Add town: 2b = 52
Divide by : b = 26 mi/hr
r = 10 mi/hr
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let the base camp is point A and boats' locations after two hours are points B and C.
By connecting the three points together we get a triangle ABC with sides:
- AB = 50*2 = 100 km
- AC = 70*2 = 140 km
The angle between AB and AC is:
- 60 + 50 = 110 degrees (opposite directions from south)
We are looking for the distance BC, which can be found by using the law of cosines:
- BC² = AB² + AC² - 2AB*AC*cos ∠BAC
- BC² = 100² + 140² - 2*100*140*cos 110°
- BC² = 39176.56 (rounded)
- BC = √39176.56 = 197.93 km (rounded)
The distance between the boats is 197.93 km.
Answer:
36
Step-by-step explanation:
The number of two of the nine members of ski patrol unit can be chosen is equal to the combinations of 9 taken 2. This can be calculated using the formula:
= 
, where
9! =9×8×7×6×5×4×3×2×1 and
7!=7×6×5×4×3×2×1
2!=2×1 then the equation becomes:
=
=36
Answer:it’s 80ft hope this helps
Step-by-step explanation:
We know the area of the middle rectangle is 48 (length * width). removing that rectangle leaves us with two semicircles. you can combine those semicircles to be the equivalent of one circle. the area for a circle is r^2 * pi. we know the diameter is 4 because that is where we cut the semicircles. radius is half the diameter, so r is 2. 2^2 is 4, 4* pi is 12.56. add 12.56 (area of semicircles) with 48 (area of rectangle) and we get 60.56
