Using distributive property,
f * n = fn
f * 5 = 5f
= fn + 5f
Answer:
<h3>495 different ways</h3>
Step-by-step explanation:
This question bothers on combination. Combination has to do with selection. When selecting r objects from a pool of n objects, this is expressed as;
nCr = n!/(n-r)!r!
For us to choose rank the first 4 choices from 12 students nominated, this can be done in 12C4 number of ways;
12C4 = 12!/(12-4)!4!
12C4 = 12!/8!4!
12C4 = 12*11*10*9*8!/8!*4*3*2
12C4 = 12*11*10*9/24
12C4 = 11880/24
12C4 = 495 ways
Hence this can be done in 495 different ways
Answer:
x = 10
Step-by-step explanation:
To find x, write a proportion between the side lengths for the similar triangles in the figure.
To solve, cross multiply and isolate x.
(x+5)(12) = 18(x)
12x + 60 = 18x
60 = 6x
10 = x
We know that
[<span>inside volume of the tank]=[40-2]*[50-2]*[20-1]------> (the top is open)
</span>[inside volume of the tank]=[38]*[48]*[19]----> 34656 cm³
the answer is
the inside volume of the tank is 34656 cm³
Answer:
First some theory we need to solve this problem.
For a circle of radius R, the perimeter is:
P = 2*pi*R
where pi = 3.14
If we have a section of this circle, defined by an angle θ, the length of this arc will be:
A = (θ/360°)*2*pi*R
In the case of the problem, the total distance that the child travels is equal to the length of an arc of 310° in a circle of radius r = 6ft.
Using the above formula, we know that the length of this arc is:
A = (310°/360°)*2*3.14*(6ft) = 32.4 ft
