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dybincka [34]
2 years ago
13

Find the length of the third side. If necessary, round to the nearest tenth

Mathematics
2 answers:
Rufina [12.5K]2 years ago
4 0

Answer:

30

Step-by-step explanation:

third side is the hypotenuse since it is opposite to 90 degree.

using pythagoras theorem

a^2 + b^2 = c^2

24^2 + 18^2 = c^2

576 + 324 = c^2

900 = c^2

\sqrt{900} = c

30 = c

therefore third side is 30.

Bond [772]2 years ago
4 0

Answer:

30

Step-by-step explanation:

{24}^{2}  + 18 {}^{2}  = c {}^{2}   \\ 576 + 324 = c {}^{2}  \\  \sqrt{900 =  \sqrt{c }^{2} } \\  = 30

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N - 8, when n = -8<br> please do this asap
Shtirlitz [24]

Answer:

-8-8 is equal to  -16

6 0
3 years ago
Is the binomial a factor of the polynomial function?
olchik [2.2K]

Answer:

YES

NO

NO

Step-by-step explanation:

The given polynomial is: $ f(x) =  x^3 + 4x^2 - 25x - 100 $

(x - a) is a factor of a polynomial iff x = a is a solution to the polynomial.

To check if (x - 5) is a factor of the polynomial f(x), we substitute x = 5 and check if it satisfies the equation.

∴ f(5) = 5³ + 4(5)² - 25(5) - 100

        = 125 + 100 - 125 - 100

        = 225 - 225

        = 0

We see, x = 5 satisfies f(x). So, (x - 5) is a factor to the polynomial.

Now, to check (x + 2) is a factor.

i.e., to check x = - 2 satisfies f(x) or not.

f(-2) = (-2)³ + 4(-2)² - 25(-2) - 100

      = -8 + 16 + 50 - 100

     = -108 + 66

     ≠ 0

Therefore, (x  + 2) is not a factor of f(x).

To check (x - 4) is a factor.

∴ f(4) = 4³ + 4(4)² - 25(4) - 100

        = 64 + 64 - 100 - 100

        = 128 - 200

        ≠ 0

Therefore, (x - 4) is not a factor of f(x).

7 0
3 years ago
Simplify −2xy + 3x − 2xy + 3x <br><br> A. 4xy +6x B. 2xy C. −4xy + 6x D. 4xy − 6x
marysya [2.9K]
First you must combine like terms, the two terms I this expression are x, and xy. So by adding -2xy to -2xy you get -4xy. Next you must add 3x to 3x. This gives you the simplified expression -4xy+6x. Hope this helps
4 0
3 years ago
Read 2 more answers
1) x-1+5<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx-1%5C%5C%7D" id="TexFormula1" title="\sqrt{x-1\\}" alt="\sqrt{x-1\\}" align
TEA [102]

Answer:

See explanation below

Step-by-step explanation:

Find the value of x in each of the following

1) x-1+5√x-1+3=0

5√x-1 = -x -2

Square both sides

25(x-1) = (-x-2)^2

25(x-1) = x^2+4x + 4

25x-25 = x^2+4x + 4

x^2 +4x + 4 - 25x + 25 = 0

x^2 - 21x + 29 = 0

x = 21±√21²-4(29)/2

x = 21±√441-116/2

x = 21±√325/2

x = 21±18.03/2

x = 21+18.03/2 and 21-18.03/2

x = 19.515 and 1.485

4)  x^4-64=0

x^4 = 64

x = \sqrt[4]{64}

x = 2.83

6 0
2 years ago
What is the measure of the missing angle?
andreyandreev [35.5K]
Since a triangles total angle is 180°, to find the answer you would subtract the 2 angles you are given from 180. 180-56-36= 88°, this being your answer.
8 0
3 years ago
Read 2 more answers
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