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:
125 g
Step-by-step explanation:
mg is so little for an orange and kg is too large
so answer is 125 g.
Using relations in a right triangle, considering c as the hypotenuse, we have that the length of side A is: ![a = 8.5\sqrt{3}](https://tex.z-dn.net/?f=a%20%3D%208.5%5Csqrt%7B3%7D)
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
From the information given, we can build the following relation:
cos(A) = a/c.
![\frac{\sqrt{3}}{2} = \frac{a}{17}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%20%3D%20%5Cfrac%7Ba%7D%7B17%7D)
![a = \frac{17\sqrt{3}}{2}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B17%5Csqrt%7B3%7D%7D%7B2%7D)
![a = 8.5\sqrt{3}](https://tex.z-dn.net/?f=a%20%3D%208.5%5Csqrt%7B3%7D)
More can be learned about relations in a right triangle at brainly.com/question/26396675
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Answer:
Step-by-step explanation:
Given is the shape of a trapezoid.
Therefore,
Area of the trapezoid
![= \frac{1}{2} (2 + 7) \times 6 \\ \\ = 9 \times 3 \\ \\ = 27 \: {km}^{2}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%282%20%2B%207%29%20%5Ctimes%206%20%5C%5C%20%20%5C%5C%20%20%3D%209%20%5Ctimes%203%20%5C%5C%20%20%5C%5C%20%20%3D%2027%20%5C%3A%20%20%7Bkm%7D%5E%7B2%7D%20)
One pie costs 0.10
you are buying 40 pies so...
40 x 0.10 = $4
one cup of coffee costs 0.50
you are buying 20 coffee so...
20 x 0.50 = $10
$4 + $10 = $14
It costs $14 to buy 40 pieces of pie and 20 cups of coffee