Answer:
= 4n + 3
Step-by-step explanation:
Note there is a common difference d between consecutive terms, that is
d = 11 - 7 = 15 - 11 = 19 - 15 = 4
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 4, thus
= 7 + 4(n - 1) = 7 + 4n - 4 = 4n + 3
Answer:
1024ft
Step-by-step explanation:
height of building = 624ft
h(t) = -16t^2 + 160t + 624
To find the, use -b/2a
a = -16, b = 160, c = 624
t = -160/ 2(-16)
t = -160 / -32
t = 5secs
The object will reach it's highest point after 5 seconds.
To find the highest point the object reaches, put t = 5 in h(t)
= -16(5)^2 + 160(5) + 624
= -16(25) + 800 + 624
= -400 + 800 + 624
= 400 + 624
= 1024ft
Answer:
Step-by-step explanation:
Eliminate the y terms by adding the equations together:
-10y+9x = -9
10y+5x = -5
——————-
14x = -14
x = -1
y = 0
Answer:
Step-by-step explanation:
Given that,
The radius of a circle, r = 5 m
The central angle is 180 degrees
We need to find the area of a sector of a circle.
The formula for the area of sector of a circle is given by :
So, the area of the sector of a circle is 
.
