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.
The slope of the line <span>x=1</span><span> does not exist. Because there are no tow points with different </span>x<span> values on the line.</span>
It is not defined.
<span>This case is not includes in the definition of slope.</span>
Please, use " ^ " to denote exponentiation: x^2 + 4x - 21 = 0
Factor: (x+7)(x-3)=0
Solve for the 2 roots: x= -7 and x= 3: {3, -7} Note how this is in set notation.
Answer:
about 69 more spins.
Step-by-step explanation:
Notice that
so that for each power of 2, there is a pattern of period 4. This means that for integers
, each of
,
,
, and
have the same units digit.
We can write
, and since
, it follows that
and
share the same units digits. So the units digit of
is 8.
