They would need 34.125 tons of rations.
In order to find this, we first need to see how many pounds of rations a single soldier eats in a week. To do this, we take the total eaten in 3 weeks and divide by 3. Then we divide by the number of soldiers.
16,380/3 weeks= 5460 lbs per week
5460/520 soldiers = 10.5 lbs per soldier per week
Now we look to see how many soldiers we will have in total after adding. There are 520 to start and we add 780 to get 1300 total. Next we multiply that by the total per soldier per week.
10.5lbs per soldier per week * 1300 soldiers = 13,650lbs per week
Then we have to multiply by the 5 weeks that battalion will be there.
13,650lbs * 5 weeks = 68,250lbs of rations or 24.125 tons.
Answer:
n and (n - 1) are consecutive integers.
Step-by-step explanation:
We are given 'n', a positive integer.
This 'n' can either be odd or even.
Case I:
When 'n' is odd
The n - 1 is even.
Note that the product of odd and even is always even. That is the product of n and (n - 1) is even.
Case II:
when 'n' is even
Then n - 1 is odd.
Again, using the similar logic we can say that the product of n and n - 1 should be even because here, 'n - 1' is even and 'n' is odd.
Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.
Now, Pythagoras' Theorem is defined as follows:
c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:
c^2 = a^2 + b^2
24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)
b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)
b = √(24^2 - 8^2) (Take the square root of both sides)
b = √512 (Evaluate 24^2 - 8^2)
b = 16√2 (Simplify √512)
= 22.627 (to three decimal places)
I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.
Answer: ≈ 185.73009
Step-by-step explanation:
area of square: 
area of circle: 
length: 15
radius = diameter/2
radius: 5
area of square - area of circle = area between square and circle:
≈ 185.73009
hope it helps!
Please mark as brainliest.
Answer:
100,80
Step-by-step explanation:
The opposite angle theorem states that, : "When two lines cross four angles are created and the opposite angles are equal."
y°=80°
Now, check that , x° and y° are in one straight line. A straight line has angle of 180°. So x° and y° should sum up to 180°
x° + y° = 180°
x° + 80° = 180°
x° = 100°
