Compare and contrast the Pythagorean theorem, a circle, and the distance formula

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Answer 1

Answer:

Answer:

The distance formula is a formalization of the Pythagorean Theorem using x and y coordinates. In other words, they are the same thing in two seemingly different contexts. Every point (x,y) on the circle is related to the circle's center (a,b) by the fact that the distance between the point and the center is a constant (the radius of the circle, r). Equation of a circle is exactly the Pythagorean theorem with specific values plugged in.

Step-by-step explanation:

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darmesh has a square garden with a perimeter of 132 square feet is the area of the garden greater than 1000 square feet?

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Yes. To figure it out you would have to do 132 ÷4 =33 since it is a square so all sides are the same length. Then to get the area you would have to multiply length x width which would be 33 x 33 = 1089

Why is the gcf of two numbers is sometimes one

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Because there isn't any other number that can go into both numbers equally

Bonnie will buy up to 200 paper cups for a party. she found a store that sells paper cups in packages of 25. the function c(p)=25p represents the number of cups Bonnie would have if she bought p packages of cups from the storewhat are the theoretical domain and range of function c
what are the practical domain and range of function c

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She bought 300 packages of paper cups for a party

hope i helped:P

In your classroom, a dry erase board is 8 feet long and 4 feet wide. You teacher makes individual dry erase boards for you to use at your desk that are 11.5 inches long and 9.5 inches wide. Are the boards similar?

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Both boards are not similar, since the board made by the teacher does not have a ratio of 2:1.

Ratios

Given that in your classroom, a dry erase board is 8 feet long and 4 feet wide, and your teacher makes individual dry erase boards for you to use at your desk that are 11.5 inches long and 9.5 inches wide, to determine if the boards are Similarly, the following calculation must be performed:

8:4 = 2:1
11.5:X = 2.1
11.5 / 2 = 5.75

Therefore, both boards are not similar, since the board made by the teacher does not have a ratio of 2:1.

Learn more about ratios in brainly.com/question/1504221

Answer:

Step-by-step explanation:

The ratio of length to width in the first is 2 : 1 while the ratio of the second is 23 : 19

Naya needed to buy boxes of cupcakes for a party.Naya had $60 to spend on the boxes of cupcakes which were each $12.How many boxes can Naya buy for the party?

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5 boxes .. 12 divided by 60

Naya has $60. Each box of cupcakes costs $12.

60÷12=5

Naya can buy 5 boxes of cupcakes.

A composite figure is shown what is the volume of the composite figure

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To find the volume of this composite figure, we simply need to take the volume of the large rectangular prism and subtract the volume of the chunk that was taken out of it.

So, we will start by just multiplying for volume of the entire whole prism, which would simply be length * width * height.

10 * 7 = 70

70 * 6 = 420

The volume of the entire figure, without the bit missing, is 420 cubic centimeters.

Now, we need to subtract the volume of the missing piece.

So we will take the volume of the smaller missing piece. We are given the length and width (3 and 6), but we don't know the height. We can find the height, though from the information given. We know that the height of the entire figure is 7, and that the distance from the bottom of the figure to the bottom of the chunk missing is 4, so we can just subtract to find the height of the missing figure.

7 - 4 = 3

And the height of the missing piece is 3.

So now, we can multiply:

3 * 6 = 18

18 * 3 = 54

The missing figure has a volume of 54 cubic centimeters.

Now, we can subtract.

420 - 54 = 366

The composite figure has a volume of 366 cubic centimeters.
Hope that helped! =)

To figure out the volume of the composite figure, break it down into easier, more manageable pieces.

For example, I'd break it down into two rectangles. One 7cm x 4cm x 6cm, and the other 6cm x 4cm x 6cm

Then, you simply find the volume of the two pieces, and add them together.

Volume = lenth x width x height

V = 7 x 4 x 6
V = 168 cubic cm.

V = 6 x 4 x 6
V = 144 cubic cm.

168 + 144 = 312 cubic cm.

The volume of the composite figure is 312 cubic centimeters.

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