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ANTONII [103]
3 years ago
15

Solve for b. 7 b 12 b= ✓ [?] Pythagorean Theorem: a2 + b2 = c2 Enter

Mathematics
1 answer:
fomenos3 years ago
6 0

Answer: b=\sqrt{95}

Step-by-step explanation:

To solve for b, we want to use the Pythagorean Theorem as given.

b and 7 are the legs, and 12 is the hypotenuse.

7^2+b^2=12^2      [exponent]

49+b^2=144     [subtract both sides by 49]

b^2=95               [square root both sides]

b=\sqrt{95}

Now we know b=\sqrt{95}.

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Find the perimeter of a triangle with points A(1,2), B(1,8), and C(5,5) on a Cartesian coordinate plane.
Assoli18 [71]

Check the picture below.

the distance from 1,2 to 1,8 is simply 6 units, we can read that off the grid.  Now let's see what the other distances are, and add them all up to get the perimeter.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad C(\stackrel{x_2}{5}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AC=\sqrt{(5-1)^2+(5-2)^2}\implies AC=\sqrt{4^2+3^2} \\\\\\ AC=\sqrt{25}\implies AC=5 \\\\[-0.35em] ~\dotfill

\bf B(\stackrel{x_1}{1}~,~\stackrel{y_1}{8})\qquad C(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) \\\\\\ BC=\sqrt{(5-1)^2+(5-8)^2}\implies BC=\sqrt{4^2+3^2} \\\\\\ BC=\sqrt{25}\implies BC=5 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{perimeter}{6+5+5\implies 16}~\hfill

7 0
3 years ago
Does the following relationship represent a function? <br> A. Yes <br> B. No
navik [9.2K]
A. Yes answer it’s function correct.
8 0
2 years ago
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Plz show work, this is a test. NO LINKS!!!
garri49 [273]

Answer:

surface area of the square pyramid

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8 0
3 years ago
I attached the files​
RUDIKE [14]

Answer:

What do u need the help for?

Step-by-step explanation:

8 0
2 years ago
Please ansswer need help sorting these
Talja [164]
The answer is -4.4, -2 1/2, -.5, 1/2, 1.5, 3.8

Explanation:

If we converted all the numbers to decimals it would look like this:

1.5 = 1.5
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Then you would just arrange them from least to greatest starting with -4.4 and ending with 3.8.

Hope this helps!
7 0
3 years ago
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