Answer:
=135.53°
Step-by-step explanation:
The bearing that the captain should turn is the angle difference between the two islands from the position of the ship.
Let C be the position of the ship, then
AB is c=160
AC is b=220
BC is a=200
We use the cosine rule as follows:
c²=a²+b²-2ab Cos C
160²=200²+220²-2×200×220 Cos C
25600=88400-88000Cos C
88000 Cos C=88400-25600
88000Cos C=62800
Divide both sides by 88000.
Cos C=62800/88000
=0.7136
C=44.47°
He should turn (180°-44.47°)=135.53°
D is the right answer all of the above
To determine the weight of the bodybuilder and since we are given the BMI or the boddy mass index and the height, it would be best to use these values. BMI is a measurement that is used to scaled body fat based in the weight and the height of adult women and men. It is calculated by the equation as follows:
BMI = 703 (mass in lb / height in inches^2)
Given:
height = 6ft 4in
BMI = 27.6
Solution:
height = 6 ft ( 12 in /1 ft ) + 4 in = 76 in
BMI = 703 (mass in lb / height in inches^2)
27.6 = 703 (mass in lb / 76^2)
mass = 226.77 lb or 103.08 kg
First note that if
, you have
Now, you're looking for
such that for any
, you have
Note that you can divide through the left side of the
inequality by
once more:
So it follows that you need to find an appropriate
that will guarantee
For the moment, let's fix
. Then by this assumption, we have
From this we get
where the upper bound is what we care about. With this assumption, we then get that
which suggests that
can be taken to be either the smaller of 1 or
, or
, to guarantee that the function gets arbitrarily close to -8.
Central angle of polygon with 14 sides is:
a = 360/14
that means that interior angle is:
b = (180 - 360/14)/2
because sum of angles in a triangle is 180.
each triangle has 2*b angles and there are 14 angles. so sum of all those angles is:
2*b*14 = (180-360/14)/2*14*2 = 180*14-360 = 180*14 - 2*180 = 180*(14-2)
Answer is second option.
