Answer:
Difference between the distances traveled by Mary and Kate = 226 feet
Step-by-step explanation:
By applying Pythagoras theorem in right ΔDEF,
(DE)² + (EF)² = (DF)²
By substituting DE = 264 feet and EF = 900 feet
(264)² + (900)² = (DF)²
DF = √(69696+810000)
= √879696
= 937.92
Distance traveled by Kate diagonally = 938 feet
Distance traveled by Mary = DE + EF
= 264 + 900
= 1164 feet
Difference between the distances traveled by Mary and Kate = DF - (DE + EF)
= 1164 - 937.92
= 226.07
≈ 226 feet
Answer:
The general equation following the pattern becomes is 7 + (n - 1)×2
Where, n = The figure number - 1
Step-by-step explanation:
The pattern in the question can be described as follows;
Figure 2 = (5 + 2) squares boxes = 7 squares boxes
Figure 3 = (5 + 2 + 2) squares boxes
Figure 4 = (5 + 2 + 2 + 2) squares boxes
Therefore, the number of squares boxes per figure, form an arithmetic progression (a + (n - 1)d) with the first term a = 7, the common difference d = 2, and the n = the nth term of the series, such that the general equation following the pattern becomes;
7 + (n - 1)×2.
bearing in mind that the an hour has 15 + 15 + 15 + 15 = 60 minutes, so 15 minutes in 1/4 of an hour, thus 45 minutes is 3/4 of an hour.
now, from 11PM, if we add the 5 hours first, we'll be at 4AM, pass midnight of course.
now let's add the minutes, 32 and then 45, that gives us 77 minutes.
so the time will be 4AM plus 77 minutes, since 60 minutes is 1 hr, so 4AM plus 1 hr and 17 minutes, that'd be 5:17AM.
Answer:
The answer is (3x^2-2x+5)
6 times a number n is 6n.
In algebra, when number multiply with variables, you don't need a multiplication sign (x). You just put them together like 6n (instead of 6 x n).
Happy to Help!
