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vovangra [49]
3 years ago
12

In a right triangle the length of a hypotenuse is 6 and the length of one leg is 5. Find the length of the other leg,

Mathematics
2 answers:
ludmilkaskok [199]3 years ago
7 0

Answer:

sqrt 11

Step-by-step explanation:

Pythagorean theorem again. a^2+b^2=c^2. The hypotenuse is the c value. One of the legs is either a or b, doesn't matter which. So you can make the equation 5^2+b^2=6^2. 25+b^2=36. Subtract 25 from each side to isolate the b variable. You're left with b^2=11. Now you take the square root of each side to get b. This makes b= sqrt 11.

nevsk [136]3 years ago
5 0

Answer:

sqrt 11

Step-by-step explanation:

Pythagorean theorem again. a^2+b^2=c^2. The hypotenuse is the c value. One of the legs is either a or b, doesn't matter which. So you can make the equation 5^2+b^2=6^2. 25+b^2=36. Subtract 25 from each side to isolate the b variable. You're left with b^2=11. Now you take the square root of each side to get b. This makes b= sqrt 11.

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(x+3)^2 + 16/(x+3)^2 = 92 <br><br> x + 1/(x+3) = ??
Irina-Kira [14]
One
Remark

This is very complicate unless you pick the right method. It's very handy o know about substitutions.

Method
Let z = (k + 2)^2

Now the problem becomes
z + 16/z = 92           Multiply through by z 

Solution
z^2 + 16 = 92z
That does not look very promising. If you know the quadratic formula, this mess can be solved. If you do not know what the quadratic formula is, then what I've written is the answer. 

Worse yet, you have to know what complex numbers are. Is this something you know about? The z form of this equation is fine. It gives answers that are rational. The problem is that both are negative and so in your next step, you will be forced to take the square root of a negative number.

Maybe the answer is just
(x + 3)^ + 16 = 92(x + 3)^2
If all you have to do is expand this then you get
x^2 + 6x + 9  + 16 = 92(x^2 + 6x + 9) Remove the brackets.
x^2 + 6x + 25 = 92x^2 + 552x + 828  Put the left over to the right.
0 = 92x^2 - x^2 + 552x - 6x + 828 - 25
0 = 91x^1 + 546x + 803


It looks that way from the second question. If I'm wrong about that, put a comment down below.

Two
 Put over a common denominator and expand
\frac{(x + 3)^2 + 1}{(x + 3)^2}  =  \frac{x^2 + 6x + 9 + 1}{x^2 + 6x + 9} =  \frac{x^2 + 6x + 10}{x^2 + 6x + 9}
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Answer:

The base of the window is 7.5 feet long.

Step-by-step explanation:

The area of a parallelogram can be found with the formula A = bh

Plug in the known values to get 30 = 4b

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30/4 = b

7.5 = b

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