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denpristay [2]
3 years ago
15

Solve for a Pythagorean theorem

Mathematics
1 answer:
Romashka [77]3 years ago
6 0

{a}^{2}  +  {b}^{2}  =  {c}^{2}

{c}^{2}  -  {b}^{2}   =  {a}^{2}

{8}^{2}  -  {6}^{2}  =  {28}^{2}

\sqrt{28}

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A pool measuring 16 meters by 22 meters is surrounded by a path of uniform​ width, as shown in the figure. If the area of the po
lesantik [10]

Let X be the width of the path.

The width of the path would be the width of the pool plus 2x, so 2x +16

The length of the path would be the length of the pool plus 2x, so 2x+22

The total area is 832 square feet.

Area is found by multiplying the length by the width.

So you have:

(2x+16) (2x+22) = 832

Use the Foil Method:

(2x+16) (2x+22) = 4x^2 +76x+352

Now you have:

4x^2 +76x+352 = 832

Subtract 832 from both sides:

4x^2 +76x+352-832 = 0

Simplify:

4x^2 +76x -480

Factor the left side:

4(x-5)(x+24) = 0

Divide both sides by 4:

(x-5)(x+24) = 0

Set both parenthesis to equal 0 and solve for x:


x=5 and x = -24

The width of the path cannot be a negative number, so the width is 5 meters.


8 0
3 years ago
HELP PLEASE WILL GIVE BRAINLIST TO WRITE ANSWER
mars1129 [50]

Answer:

Step-by-step explanation:

the circumference of the circle, C=2*3.14*r

C=3.14*d

C=3.14*12=37.68

7 0
3 years ago
Please I need help with this
Scilla [17]

Answer:

yes

Step-by-step explanation:

5 0
3 years ago
How do you find 3w-6w+3w×7×7×6×5÷9+2
Viktor [21]
Let's remember orders of operations as we go through the craze of this problem.
We need to multiply or divide from left to right.
3w-6w+3w×7×7×6×5÷9+2
3w-6w+21w×7×6×5÷9+2
3w-6w+147w×6×5÷9+2
3w-6w+882w×5÷9+2
3w-6w+4,410w÷9+2
3w-6w+490w+2
-3w+490w+2
487w+2
To check that we simplified the expression right, I like to put in 1 for w and test it in the original expression and then the simplified expression (not needed).
487+2=489
3-6+3×7×7×6×5÷9+2=489
So that expression equals 487w+2.
3 0
4 years ago
If a circle has circumference 10 pi cm, then an arc with measure 90 degree has length 5 pi cm true or false
maria [59]
If circumference = 10 * PI
then a 90 degree central angle will "sweep out" one fourth of the circumference or 10 PI / 4 = 2.5 PI
So it is false.


5 0
3 years ago
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