Let the distance to his office be x, then
On monday, speed = x/20 miles per minutes = 3x miles per hour
On tuesday, speed = (3x + 15) miles per hour
Time = distance / speed
(20 - 6)/60 hours = x/(3x + 15) hours
7/30 = x/(3x + 15)
7(3x + 15) = 30x
21x + 105 = 30x
30x - 21x = 105
9x = 105
x = 105/9 = 11.7 miles
Therfore he travels an average of 11.7 miles to work.
9514 1404 393
Answer:
23.44
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation ...
Tan = Opposite/Adjacent
tan(38°) = x/30
x = 30·tan(38°) ≈ 23.4386
x ≈ 23.44
Answer:
72 Centimeters
Explanation:
Formula for area: 1 /2 b · h
b = Base (18 cm.)
h = height (8 cm.)
1 / 2 Base: 9
height: 8
9 · 8 = 72
Therefore the area of the triangle is 72 centimeters
Answer:
Population (p) = 4,000 hundred metric tons
Size of the yield (f(p)) = 8,000 hundred metric tons
Step-by-step explanation:
The population of sardines 'p', for which the derivate of the function f(p) is zero, is the population that gives the maximum sustainable yield:

The size of the maximum sustainable yield is:

Population = 4,000 hundred metric tons
Size of the yield = 8,000 hundred metric tons