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Komok [63]
3 years ago
5

Use the Pythagorean Theorem to find the missing length in the right triangle

Mathematics
1 answer:
Gelneren [198K]3 years ago
8 0

Answer:

it depends

Step-by-step explanation:

If 17 is the hypotenuse

c=17\\\\b=12\\\\a=?\\\\c^{2} =a^2+b^2\\\\17^2=a^2+12^2\\\\17^2-12^2=a^2\\\\(17-12)(17+12)=a^2\\\\5(27)=a^2\\\\a=\sqrt{9*3*5} \\\\a=3\sqrt{15} \\\\a=11.6

if you are looking for the hypotenuse

a=17\\\\b=12\\\\c=?\\\\a^2+b^2=c^2\\\\17^2+12^2=c^2\\\\289+144=c^2\\\\433=c^2\\\\c=\sqrt{433} \\\\c=20.8

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Prove that the square of an odd number is always 1 more than a multiple of 4
loris [4]

Answer:

By these examples you are able to see that the square of an odd number is always 1 more than a multiple of 4.

Step-by-step explanation:

For examples,

Let's consider squares of 3, 11, 25, 37 and 131.

{3}^{2}  = 9

8 is a multiple of 4, and 9 is more than 8.

{11}^{2}  = 121

120 is a multiple of 4 and 121 is one more than it.

{25}^{2}  = 625

624 is a multiple of 4 and 625 is one more than it.

{37}^{2}  = 1369

1368 is a multiple of 4 and 1369 is one more than 1368.

{131}^{2}  = 17161

17160 is a multiple of 4.

5 0
3 years ago
I dont know how to do any of these problems can someone help me
HACTEHA [7]

Answer:

#7.  JK = 1

Step-by-step explanation:

So all these problems are similar in the fact that you are given three pieces of information and you need to determine x.  Let's look at #7.

We are to find the length JK but we are given it in terms of x.  To find the length, we need to find x.  Using the information we have about KL and JL, we can find this.  Note, the value of JL is 5, and the value of KL is x + 8.

JK + KL = JL

( 2x + 9 ) + ( x + 8 ) = 5

3x + 17 = 5

3x = -12

x = -4

Now that we have the value of x,  we can find the value of JK:

JK = 2x + 9

JK = 2(-4) + 9

JK = -8 + 9

JK = 1

Hence, the length of JK is 1.

Using this same basic idea, you can solve all of these problems.

Cheers.

4 0
3 years ago
Find the perimeter of the figure. AND I'LL MAKE YOU THE BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
abruzzese [7]

9514 1404 393

Answer:

  97 cm

Step-by-step explanation:

The perimeter is the sum of the side lengths. Starting from the upper left corner and working clockwise, the side lengths are ...

  10 +3 +33 +15 +33 +3 = 25+2(36) = 97 . . . cm

The perimeter of the figure is 97 cm.

6 0
3 years ago
Sophie was asked to plot the point (8,5). She started at the origin, moved 8 units up and 5 units to the
ycow [4]

Answer:

she plotted (8,5)

Step-by-step explanation:

the formula of that is (x,y). you would need to go 8 to the right and 5 units up. sophie mixed up the values.

6 0
2 years ago
Read 2 more answers
2. What unit of measure would you use for the volume of water in a bathtub?
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2. You would use liters for a bathtub.

3.You would use milliliters for a medicine capsule.


7 0
3 years ago
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