Answer:
<em>First.</em> Let us prove that the sum of three consecutive integers is divisible by 3.
Three consecutive integers can be written as k, k+1, k+2. Then, if we denote their sum as n:
n = k+(k+1)+(k+2) = 3k+3 = 3(k+1).
So, n can be written as 3 times another integer, thus n is divisible by 3.
<em>Second. </em>Let us prove that any number divisible by 3 can be written as the sum of three consecutive integers.
Assume that n is divisible by 3. The above proof suggest that we write it as
n=3(k+1)=3k+3=k + k + k +1+2 = k + (k+1) + (k+2).
As k, k+1, k+2 are three consecutive integers, we have completed our goal.
Step-by-step explanation:
Answer:
2 hours and 30 minutes to fill it up
Step-by-step explanation:
Cherish walled 3 blocks in 1 minute.
I know this because 36+÷12=3.
Which three represents the number of blocks walked in one minute.
Answer:1) In Δ FGH,
FH=7 ft, FG=12 ft,
∠F=70 degrees
By "Law of cosines":
So,By applying Law of Sines , we get that
Hence, Option 'D' is correct.
2) In Δ XYZ,
XY=14, ∠Y=22°, and XZ=26
By using "Law of sines":
so, X = 147° , Y = 22° , Z = 11.6°
Step-by-step explanation:
Answer:
The correct answer is 54 miles per hour
Step-by-step explanation:
To solve this problem we have to use the formula of
Speed=Distance/time
Both, car an truck made the same distance, so
Distance car=Speed car*time car
Distance truck =Speed truck*time truck
Distance car=Distance truck
So Speed car*time car =Speed truck*time truck
Speed car =Speed truck* time truck /time car
Time truck = time car +2 ( truck leaves 2 hours before)
Time car =10
Speed car =45 miles per hour* 12 /10
Speed car = 54 miles per hour
