Answer:
3miles per hour^2
Step-by-step explanation:
given data
initial speed u= 15mph
final speed v=45mph
time taken t= 10 seconds
Step two:
Required
acceleration a=?
applying the first equation of motion
v=u+at
substitute we have
45=15+a*10
45=15+10a
make a subject of the formula
45-15=10a
30=10a
divide both sides by 10
a=30/10
a=3miles per hour^2
Answer:
= 4n + 11
Step-by-step explanation:
There is a common difference between consecutive terms, that is
19 - 15 = 23 - 19 = 4
This indicates the sequence is arithmetic with explicit rule
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 15 and d = 4 , then
= 15 + 4(n - 1) = 15 + 4n - 4 = 4n + 11
Answer:
25
Step-by-step explanation:
Since AC is similar to CE, we can say that they have equal lengths. We are given CE, DE, and BC. To solve this, we can solve for the length of CE (equal to AC) and then subtract that from BC.
To solve for CE, we are given DE and CE. We know that DE is 1/2 of CE because D is the midpoint of CE. Therefore,
7x-1 = 1/2(10x+18)
expand
7x-1 = 5x + 9
add 1 to both sides to separate the 7x
7x = 5x + 10
subtract 5x from both sides to separate the x
2x = 10
divide both sides by 2 to separate the x
x=5
Therefore, DE = 7(5)-1 = 34 and CE = 10(5) + 18 = 68 = AC.
Using x=5, we know that BC = 9(5) -2 = 43
Therefore, AB = AC-BC = 68-43 = 25
