Answer: 310.3° or 5.41 radians.
Step-by-step explanation:
The area of a circle of radius R is calculated as:
A = pi*R^2
Now, if we have a sector of an angle θ degrees, the area of that sector is:
A = (θ/360°)*pi*R^2
In this case, we know that:
R = 15yd
And the area of the sector is 609 yd^2
Then we can replace these two values in the equation to get:
609yd^2 =(θ/360°)*3.14*(15yd)^2
(609yd^2)*360°/(3.14*(15yd)^2) = θ = 310.3°
And we want the angle also in radians.
We know that:
3.14 rad = 180°
(3.14 rad/180°) = 1
Then:
310.3° = 310.3°*(3.14 rad/180°) = (310.3°/180°)*3.14 rad = 5.41 radians.
Answer:
63.56 -81.47= -17.91
Step-by-step explanation:
cause the answer of 63.56 +(-81.47)= -17.91
Answer:
Explicit:
a(n) = (5^n)/5
Recursive:
a(n) = 5 × a(n-1)
Step-by-step explanation:
1, 5, 25, 125...
1, 1×5 = 5, 5×5 = 25, 25×5 = 125..
It is a Geometric sequence with:
First term: 1
Common ratio: 5
Nth term of a Geometric sequence is:
a(n) = a(1) × r^(n-1),
Where a(1) is the first term and r is the common ratio.
Therefore,
a(n) = 1 × 5^(n-1)
a(n) = 5^n × 5^-1
a(n) = (5^n)/5
Recursive:
a(n) = 5 × a(n-1)
