The raidius of the circle is r=_The equation of the circle in standard form__

Mathematics

1 answer:

Schach [20]9 months ago

3 0

step 1

Find the radius of the circle

To find out the radius, calculate the distance between the center and any point that lie on the circle

(-2,3) and (-2,0)

Its a vertical distance

r=3-0=3 units

step 2

we have the radius r=3 units and the center (-2,3)

the equation of the circle is

$\begin{gathered} (x+2)^2+(y-3)^2=3^2 \\ (x+2)^2+(y-3)^2=9 \end{gathered}$

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as a gift, you fill the calendar with packets of chocolate candy. Each packet has a volume of 2 cubic inches. Find the maximum n

qaws [65]

The picture of the calendar is shown in the attached image.

Now, first we will get the volume of the calendar itself, we can note the calendar has the shape of a triangular prism.
Volume of triangular prism = area of base * depth
The area of base = area of triangle = 1/2 * base * depth
Therefore:
Volume of prism = 1/2 * base * height * depth
where:
base = 4 in
height is he height of the base = 6 in
depth is the depth of the calendar = 8 in
Therefore:
Volume of calendar = 1/2 * 4 * 6 * 8 = 96 in^3

Now, we are given that the volume of each candy is 2 in^3, this means that:
number of candies to fill the calendar = volume of calendar / volume of candy
= 96/2
= 48 candies

Hope this helps :)