Answer:
348 trouts in the lake
Step-by-step explanation:
Since this is basically a ratio problem and we are given three values we can use the rule of three to solve for the missing variable which would be the total amount of trouts in the lake. To do so we multiply the total amount trouts tagged by the number of trouts caught later. Then we multiply that product by the amount that were found to be tagged later.
22 total trouts caught later <=========> 11 trouts were tagged
x total trouts <=========> 174 trouts tagged
(174 * 22) / 11 = 348 total trouts in the lake
Finally, we can see that the conservationist would expect there to be around 348 trouts in the lake.
The rate of trip 2 is 5 km/h
The time of trip 1 is 0.9-x hours
Answer:
A = 10W - W²
Step-by-step explanation:
Perimeter of a rectangle = 2(L+W)
Area of a rectangle =LW
L is the length
W is the width
Given
Perimeter = 20m
20 = 2 (L+W)
10 = L+W
L = 10 - W ....2
Substitute equation 2 into the formula for calculating the area
Recall that A = LW
A = (10-W)W
A = 10W - W²
Hence the area of the rectangle as a function of the length of ones its side is expressed as A = 10W - W²
Answer:
Distance between Nauru and Galapagos islands = 11525 Km to the nearest Km
Step-by-step explanation:
The angle between the two Islands is given as X
X = (180 - 166.56) + (180 - 90.30)
X = 13.44° + 89.70°
X = 103.14
Distance between the islands = length of the arc with angle X subtended at the center of the earth of radius R.
Length of arc = (X/360) × 2πR
Where, R, radius of the earth = 6400 Km
Length of arc = (103.14/360) × 2π × 6400 Km
Length of arc = 11525.48 Km
Therefore, distance between Nauru and Galapagos islands = 11525 Km to the nearest Km
