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Mama L [17]
2 years ago
8

In your own words describe how you would find the volume of a

Mathematics
1 answer:
love history [14]2 years ago
5 0
You could find the volume of a figure using unit cubes by placing cubes inside the figure until it is full and counting while you are placing them inside. If that is not an option you can find the measure of the figure by using the cubes to count them. Ex. With a wooden letter block you can black the unit cubes on the bottom to find out the length, place the cubes on the side in 1 layer at the bottom to find the width, then stack them up at the edge of a side to find the height. Once you have found these three numbers you can multiply them to find the volume.
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Write the general equation for the circle that passes through the points (1, 1), (1, 3), and (9, 2).
Burka [1]

Step-by-step explanation:

As we know that

  • The circle center is equidistant from all three points, the distance being the circle radius.
  • Any point equidistant from two points must lie on the perpendicular bisector of the line segment which join those two points.
  • Which is, on the line through the midpoint of the line segment, perpendicular to the line segment.

The perpendicular bisector of the line segment joining the points (1, 1) and (1, 3) will be:

                   \:y=\:\frac{1+3}{2}=\frac{4}{2}=2

The perpendicular bisector of the line segment joining the points (1, 3), and (9, 2) will be:

                   x=\:\frac{1+9}{2}=\frac{10}{2}=5

These intersect at the center of the circle (5, 2).

The distance between (1, 1) and (5, 2) will be:

\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

\mathrm{The\:distance\:between\:}\left(1,\:1\right)\mathrm{\:and\:}\left(5,\:2\right)\mathrm{\:is\:}

=\sqrt{\left(5-1\right)^2+\left(2-1\right)^2}

=\sqrt{4^2+1}

=\sqrt{16+1}

=\sqrt{17}

So the equation of the circle can be written as:

\left(x-5\right)^2+\left(y-2\right)^2=17

x^2-10x+y^2+29-4y=17

x^2-10x+y^2-4y+12\:=0

x^2+y^2-10x-4y+12=0

8 0
3 years ago
What are the possible values of b for the following values of c, for x2 +bx+c if b > 0?
rewona [7]
The answer is c = -6
5 0
4 years ago
G(x)=10x+8. What is the value of g(5)?
kenny6666 [7]
5(x)=10x+8 so x is equal to -3
7 0
2 years ago
A hotel has 1200 rooms. 92% are booked. How many rooms are booked.
seraphim [82]

Answer: 1104 Rooms Are Booked

Step-by-step explanation:

1. You change 92% to 0.92

2. You multiply 1200*0.92 to find the number of rooms

3. Your answer will end up being 1104

6 0
4 years ago
The points (6, - 5) and (4,p) fall on a line with a slope of - 3. what is the value of p?
Hatshy [7]
The value of p would be -4.33 or -4 and 2/3.
4 0
4 years ago
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