Answer:
Step-by-step explanation:
3+
Answer: 720ways, 24ways
Step-by-step explanation:
Given the seven letter words "SYSTEMS", if E is always occurring before M it means E and M will always be together therefore they letter 'EM' will be taken as an entity to five us 6letters i.e SYST(EM)S.
This can then be arranged in 6!ways
6! = 6×5×4×3×2×1 = 720ways
Similarly, if the E somewhere before the M and the three Ss grouped consecutively, this means E and M must always be together as well as the Ss to give (SSS)YT(EM).
This means that the letters in the bracket can be taken as an entity to give a total of 4 entities. This can them be arranged in 4! ways.
4! = 4×3×2×1
4! = 24ways
Answer:
10 sqrt(269) = c
164.0121947 = c
Step-by-step explanation:
The diagonal is the hypotenuse of the right triangle
The length and width are the legs of the right triangle
We can use the Pythagorean theorem
a^2 + b^2 =c^2
100^2 + 130^2 = c^2
10000+16900 = c^2
26900 = c^2
Take the square root of each side
sqrt(26900) = sqrt(c^2)
sqrt( 269) sqrt(100) = c
10 sqrt(269) = c
164.0121947 = c
1 gallon = 16 cups. so 16x3.5=56. so 56 cups
