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3 years ago

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A regular pentagon with side length s has perimeter 5s. Dakota built a dog pen in her backyard for her dog's new puppies. The pe

n is shaped like a regular pentagon and has 40-inch sides.
What is the perimeter of the pen?
Write your answer as a whole number or decimal.

1 answer:

sashaice [31]3 years ago

4 0

The answer is 243 hope this helps

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What are the coordinates of C if translated 5 units upward?

aleksklad [387]

(6, 11)

hope this helps!

4 0

3 years ago

Help please asap

padilas [110]

These are 2 questions and 2 answers:

<span>1. Question 1: The area of a rectangular carpet is given by the trinomial 5x^2 - 3x - 14. What are the possible dimensions of the carpet? Use factoring.

Answer: 5x^2 -3x -14

Explanation:

You might probe the different pairs of factors given in the answer choices to check wich product is equal to the oirginal polynomial or you can factor from zero.

I will show you how to factor that polynomial from zero:

1) given: 5x^2 - 3x - 14

2) multiply and divide by the leading coefficient =>

5 [5x^2 - 3x -14 ]
----------------------
         5

3) Enter the the factor 5 inside the parenthesis:

5.5x^2 - 5.3x - 5.14
--------------------------
              5

4) rearrange conviniently to show (5x) as a common factir of the first two terms

(5x)^2 - 3(5x) - 70
--------------------------
              5

5) factor the numerator using 5x as common term of the two binomials:

(5x ) ( 5x   ) <----> open the parenthesis
(5x - ) (5x + ) <-----> include the signs
(5x - 10) (5x + 7) <---> two numbers that add up - 3 and their product is - 70

=>

(5x - 10)(5x + 7)
---------------------
         5

6) divide (5x - 10) by 5 => x - 2

7) factored expression

(x - 2) (5x + 7)

8) Conclusion: the answer is the option B. (5x + 7) and (x - 2)

2. Question 2. The area of a rectangular barnyard is given by the trinomial 6x^2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring

Answer: </span><span><span>option C. (2x + 5)(3x - 4)</span>

Explanation:

The procedure is the same of the question 1.

1) given: 6x^2 + 7x - 20

2) multiply numerator and denominator by 6 and rearrange to show (6x) as common factor ot the first two terms =>

(6x)^2 + 7(6x) - 120
--------------------------
              6
3) factor the numerador using 6x as common factor ot two binomials, and simplify:

(6x + )(6x - )
(6x + )(6x - )
(6x + 15) (6x - 8)

=>

(6x + 15)(6x -8)
---------------------
           6

(6x + 15)(6x - 8)
---------------------- =
        3.2

(6x + 15)      (6x - 8)
------------- . ------------ =
      3                2

(2x + 5)(3x - 4)

4) answer: option C. (2x + 5)(3x - 4)</span>

6 0

3 years ago

In ACDE, mC = (5x + 18)°, m_D = (3x + 2)°, and mZE = (x + 16).<br> Find mZD.

gizmo_the_mogwai [7]

If you expect to ask your question and only for 5 points nobody’s going to answer your question anytime soon.

8 0

2 years ago

Solve for x: log6(x+29) - log6(x-6) = 2

svet-max [94.6K]

$log_6(x+29)-log_6(x-6)=2$
$log_6{6^2}=2$
$log_6(x+29)-log_6(x-6)=log_6{6^2}=log_6{36}$
$log_6(x+29)-log_6(x-6)=\frac{log_6(x+29)}{log_6(x-6)}=log_6{36}$
$\frac{x+29}{x-6}=36$
$x+29=36(x-6)$
$x+29=36x-216$
$35x=245$
$x=\frac{245}{35}=7$
$log_6{36}-log_6{1}=2$

6 0

3 years ago

What is the slope of the line that contains these points?

Semmy [17]

Answer:

-5

Step-by-step explanation:

Use the definition of slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

And replace any two coordinates into the equation:

$m=\frac{11-6}{13-14} \\m=\frac{5}{-1}\\m=-5$

7 0

2 years ago

Read 2 more answers