Answer:
Using the formula
r
=a
cos
(
θ
)
or
r
=
a
sin
(
θ
), graph the circle.
r
=
6
cos
(
θ
)
Step-by-step explanation:
Answer:
12 years old.
Step-by-step explanation:
1) 2x+x=18
2) Now solve 2x+x=18
Add alike terms
3x=18
Now divide both sides by 3 (3x/3 and 18/3)
x=6
So Hannah is 6 years old. Her sister must be 12.
Answer:
The area of the shape can be divided into the area of the rectangle, and the area of the semi-circle.
The area of the rectangle can be found by 
The area of a semi-circle can be found with the formula
where r is the radius.
Since we know the diameter of the semi-circle is 4,
the radius will be 4 ÷ 2 = 2.
Therefore, the area of the semi-circle is 
Therefore, the area of the shape is
or
(3 decimal places)
Answer:
-4 (5v -3v -6) -9v (use the distributive property)
-20v +12v +24 -9v (combine all like terms)
-17v +24