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Alexxx [7]
2 years ago
10

Two points are located at (2,3) and (8,−5). Complete the equations below to show how you can use the Pythagorean theorem to find

the distance between these two points

Mathematics
1 answer:
ad-work [718]2 years ago
7 0

Answer:

<h2>first blank:</h2><h2>c=sqrt(a^2+b^2)</h2><h2>second blank:</h2><h2>c=sqrt((8-2)^2+(-5-3)^2)</h2><h2 />

Step-by-step explanation:

c^2=a^2+b^2

sqrt(c^2)=sqrt(a^2+b^2)

c=sqrt(a^2+b^2)

c=sqrt((x2-x1)^2+(y2-y1)^2)

c=sqrt((8-2)^2+(-5-3)^2)

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stiv31 [10]
The surface area (SA) of a cube can be written as:

SA = 6s²

From here we can write, the length of the side s as:

s= \sqrt{ \frac{SA}{6} }

For cube with surface area of 1200 square inches, the side length will be:

s= \sqrt{ \frac{1200}{6} }=10 \sqrt{2} inches

For cube with surface area 768 square inches, the side length will be:

s= \sqrt{ \frac{768}{6} }=8 \sqrt{2} inches

The difference in side lengths of two cubes will be:

10 \sqrt{2} -8 \sqrt{2}=2 \sqrt{2}

Rounding to nearest tenth of an integer, the difference between the side lengths of two cubes will be 2.8 inches. 
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3 years ago
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Jodie read 42 randomly chosen books from each library in her city. Each library is the same size.
ahrayia [7]

Answer:

Yes!

Step-by-step explanation:

The definition of Representative is

A representative sample is a group or set chosen from a larger statistical population or group of factors or instances that adequately replicates the larger group according to whatever characteristic or quality is under study

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3 0
2 years ago
Could anyone help with this, im terrible at geometry haha
bekas [8.4K]

Answer:

10.90⁰

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Step-by-step explanation:

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Callie has a new kitten. They can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18
gavmur [86]

Answer:

The weight of cat is <u>14 pounds</u> and the weight of kitten is <u>4 pounds</u>.

Step-by-step explanation:

Given:

Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.

Now, to find the weight of each animal:

Let the cat's weight be x.

And the kitten weight = \frac{x}{2} -3

Total weight of cat and kitten = 18 pounds.

Now, to set an equation to get the weight of each animal:

(x)+(\frac{x}{2}-3)=18

x+\frac{x}{2} -3=18

\frac{2x+x-6}{2} =18

\frac{3x-6}{2} =18

<em>Multiplying both sides by 2 we get:</em>

<em />3x-6=36<em />

<em>Adding both sides by 6 we get:</em>

<em />3x=42<em />

<em>Dividing both sides by 3 we get:</em>

<em />x=14\ pounds.<em />

<em>The weight of cat = 14 pounds.</em>

Substituting the value of x to get the kitten's weight:

\frac{x}{2} -3\\\\=\frac{14}{2}-3\\\\=7-3\\\\=4.

<em>The kitten's weight = 4 pounds.</em>

Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.

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Last year, Tim rode his bike a total of 50 3/8 miles. This year, he rode his bike a total of 258 3/4 miles.
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