Answer:

Step-by-step explanation:
Given that,
The radius of circle, r = 7 cm
The area of sector, A = 44cm²
We need to find the angle of the sector. The formula for the area of sector is given by :

Solve for
.

So, the angle of the sector is equal to
.
If the baker made 5 pounds of icing and used 4/9 of the icing to make decorations, then he used:
5 * 4/9 =
= 20/9 =
= 2 2/9 [of icing]
To find out how much he has left over, we just need to substract 2 2/9 from 5:
5 - 2 2/9 =
= 3 - 2/9 =
= 2 7/9
Answer: The baker has <u>2 7/9</u> of the icing left.
Answer:

Step-by-step explanation:
Use the formula for a semicircle's perimeter.

Plug in 6 for d.

Let's use 3.14 for
, just to make it easier, but of course, if it states to round it to something else, just plug in that many values for
.

Answer:

Step-by-step explanation:
Notice that they are asking you to write the equation of the parabola in vertex form, that is using the coordinates of the vertex
in the expression:

we can start by directly replacing the given vertex coordinates (-3, -3) in the expression, and then using the extra info on the point the parabola goes through in order to find the parameter
:

So, now we can write the full expression for the parabola:
