Answer:
400 ft
Step-by-step explanation:
Let the distance traveled = d
Let the time taken = t
d α t^2
d = kt^2
k = d /t^2
When d = 100 and t = 2.5secs
k = 100/ (2.5)^2
k = 16
d = 16t^2
When t = 5secs
d = 16(5)^2
d = 16 * 25
d = 400 ft
Answer: No
Explanation:
According to factor theorem, if f(x)=0 then x is a factor of the given function or equation.
As x-1 is a factor
We equate x-1=0
x=1
Substituting in x^5-1, we have 1^5-1 =1-1=0.
Hence, it's a factor.
When coming to x^5+1, it would become 1^5+1=1+1=2
So x-1 isn't a factor of x^5+1.
706,421 rounded to the nearest thousand is 706,000 because the 421 is less than 500 so the 6 would remain a 6.
Answer:
True
Step-by-step explanation:
The polygons given have 5 sides, so the sum of their interior angles is (5-2) * 180 = 540. Next, there are 4 pairs of corresponding sides. Writing those sides as a, b, c, and d, for each pentagon, we can write
540 = a + b + c + d + missing angle
540 = a + b + c + d + missing angle
As is shown here, if a, b, c, and d are the same, 540 - (a+b+c+d) = missing angle is the same as well. Therefore, there are 5 corresponding angle pairs for the two polygons. Furthermore, because there are only 5 angles for each polygon, and because having all corresponding angles be equal makes polygons similar to each other, the polygons given are similar
