Answer:
6 knots
Step-by-step explanation:
Let the speed be v knots
then time taken to cover 500 M = 500 / v hrs
fuel consumption /hr = 216 + 0.5v^3
let F be the fuel consumption for trip
= [500/v][216 + 0.5v^3]
= 500[216/v + 0.5v^2]
dF/dv = 500[ - 216/v^2 + v]
d^2F/d^2v = 500[432/v^3 + 1] , i.e. +ve
so setting dF/dv will give a minima
500[ -216/v^2 + v] = 0
or v = 216/v^2
or v^3 = 216
solving, we get v = [216]^(1/3) = 6 knots
Answer:
1.
Statement: m∠A + m∠B + m∠C = <u>180°</u>
Reason: <u>Sum of Angles in a Triangle</u>
2.
Statement: 28° + x - 4° + <u>2x</u> = 180°
Reason: Substitution
3.
Statement: x = <u>52°</u>
Reason: Algebra
Assuming this question is trying to enquire as to how many bottle of
water there are in each case, you simply need to divide 162 by 9 to find
the answer, which is that there are 18 bottles of water in each case.
Answer:

Step-by-step explanation:
Given that,
The height of the tower, h = 40 m
The angle of elevation is 30°
We need to find the distance between the tower and the point. Let the distance is x. Using trigonometry,

So, the distance between the tower and the point is equal to
.
Answer:
Step-by-step explanation:
Distance = speed × time
A car from Alphaville to Betaville is moving at a speed of sixty-two miles per hour. This means that after two and a half hours, the distance that this car would have covered is
62 × 2.5 = 155 miles
Another car from Betaville to Alphaville is moving at a speed of fifty-seven miles per hour. This means that after two and a half hours, the distance that this car would have covered is
57 × 2.5 = 142.5 miles
A and B represents Alphaville and Betaville as well as the first and second cars. The total distance covered by both cars is
155 + 142.5 = 297.5 miles
The distance between both cars after two and a half hours is
725 - 297.5 = 427.5 miles