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adelina 88 [10]
3 years ago
15

Find the perimeter of the triangle. Round to the nearest tenth.

Mathematics
1 answer:
serious [3.7K]3 years ago
4 0

Answer:

B)   17.1

Step-by-step explanation:

g = 5

f = 5

That means we have a 45-45-90 triangle

and the hypotenuse = \sqrt{2} times the length of a leg

Therefore, h = 5\sqrt{2} = 7.1

5 + 5 + 7.1 = 17.1

Note:  If you have not been taught about 45-45-90 triangles, then use the Phythagorean theorem.  OK?

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Given the rule: an=7(1/2)n-1 identify the first term
Shkiper50 [21]

Answer:

  • using the rule given: 2.5
  • using an exponential rule: 7

Step-by-step explanation:

Evaluating the linear rule given, for n = 1, we have ...

  a1 = 7(1/2)(1) -1 = 7/2 -1 = 5/2 = 2.5

_____

We suspect you may intend the exponential function ...

  an = 7(1/2)^(n-1)

Then, for n = 1, we have ...

  a1 = 7(1/2)^(1 -1) = 7(1) = 7 . . . . the first term is 7

_____

When writing an exponential expression in plain text, it requires the exponential operator, a caret (^). If the exponent contains any arithmetic, as this one does, it must be enclosed in parentheses.

3 0
4 years ago
Integrate the following. ∫<img src="https://tex.z-dn.net/?f=5x%5E%7B4%7D%20dx" id="TexFormula1" title="5x^{4} dx" alt="5x^{4} dx
Vadim26 [7]

Answer:

\displaystyle D)  {x}^{5}  +  \rm C

Step-by-step explanation:

we would like to integrate the following Integral:

\displaystyle \int 5 {x}^{4} \, dx

well, to get the constant we can consider the following Integration rule:

\displaystyle \int c{x} ^{n}  \, dx  =  c\int  {x}^{n}  \, dx

therefore,

\displaystyle 5\int  {x}^{4} \, dx

recall exponent integration rule:

\displaystyle \int {x} ^{n}  \, dx  =  \frac{ {x}^{n + 1} }{n + 1}

so let,

  • n = 4

Thus integrate:

\displaystyle  =  5\left( \frac{ {x}^{4+ 1} }{4 +  1}  \right)

simplify addition:

\displaystyle  =  5\left( \frac{ {x}^{5} }{5}  \right)

reduce fraction:

\displaystyle  =  {x}^{5}

finally we of course have to add the constant of integration:

\displaystyle  \boxed{ {x}^{5}  +  \rm C}

hence,

our answer is D)

7 0
3 years ago
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disa [49]

Answer:

your answer will be B

Step-by-step explanation:

have a nice day/night !!!

7 0
3 years ago
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Charlize and Camille solved the equation 4x – 2y = 8 for y. Their work is shown
Aloiza [94]

Answer:

The answer to your question is below

Step-by-step explanation:

Equation 4x - 2y = 8 solve for y

First, pass 4x to the right side                -2y = -4x + 8

Pass -2 to the right side                             y = -4/-2 x  + 8 /-2

Simplify                                                        y = 2x -4 or    y = -4 + 2x

I can not see clearly the work of Charlize and Camille, but the one that has the answer shown above is correct.                                                                                    

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madreJ [45]

Answer:11

Step-by-step explanation:

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3 years ago
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