Answer:
20 unique words
Step-by-step explanation:
mommy is a 5 letter word. So initially we would think there are 5! = 120 words to spell from here. however, If we are looking for unique solutions, we need to consider that there are 3 m's. the multinomial theorem says that we should divide by each group of duplicates so 5!/(3!1!1!) = 5!/3! = 20 unique words
Answer:
3.6 ft = 43.2 inches
3.6 ft = 1.2 yards
Explanation:
Every foot is 12 inches. 3.6 * 12 = 43.2
To find yards, divide the feet by 3.
3.6 / 3 = 1.2
The answer would be the 3rd choice because this is a translation
14^(7x) = 17^(-8-x)
Take the log of both sides:
7x*log 14 = -(8+x)*log 17, or 7x^log 14 = -8*log 17 - x*log 17.
Grouping the x terms, we get x(7*log 14 + log 17)= -8*log 17
Then:
-8*log 17
x= -------------------------- (answer)
7*log 14 + log 17
Answer:
the last option of 135°.
Step-by-step explanation:
The total degree of the rectangle is 360°. But it was sliced, so with the remaining measurements, subtract each of them from 360°.
90°+90°+45°+x°=360°
225°+x°=360° add all of the values on the left side, then subtract 225 on both sides to solve for the value of x°.
x°=135°