Answer:
360
Area
Step-by-step explanation:
The formula of the area of a sector in a circle is:
Area of sector =
× πr², where
- x is the central angle of the sector
- πr² is the area of the sector
Example:
The measure of a central angle is 60°, and the area of the circle is 12π unit², then the area of the sector of the central angle is:
Area of the sector =
× 12π = 2π
To find the area of the sector
Divide the measure of the central angle by 360
Multiply the result by Area of the circle
10,20,30,40,50,60,70,80,90,100,120
Answer:
8. a = 30
9. a = 3.46
General Formula:
a = square root c^2 - b^2
Answer:
This is a reflection about the x-axis.
Step-by-step explanation:
A reflection about the x-axis has the rule
[x,y]-> [x,-y].
Therefore
M[x,y] = [x,-y}
Let M=
|a b|
|c d|
Then the matrix multiplication gives
ax+by=x.............(1)
cx+dy=-y............(2)
Solving the previous equations (1) and (2) gives
a=1, b=0
c=0, d=-1
giving M as
|1 0|
|0 -1|
Answer: Rita and Tina's total weekly wages can be represented as 11r + 32 + 11t or 11( r + t ) + 32
Step-by-step explanation:
Since, For Rita,
Charges per hour = $ 11
Working time = r hours,
Overtime charges for a week = $ 32,
Thus, her weekly charges = 11 r + 32
Now, For Tina,
Charges per hour = $ 11
Working time = t hours,
Thus, her weekly charges = 11 t
Hence, the combined weekly wages of both Rita and Tina = 11 r + 32 + 11 t
= 11( r + t ) + 32
Which is the required expression.