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Oduvanchick [21]
2 years ago
10

In a certain hexagon, the two shortest sides have the same length. The length of each remaining side is 2 inches more than the l

ength of each shortest side. The perimeter of the hexagon is 38 inches. What are the lengths of the sides of the hexagon?
Mathematics
1 answer:
Nonamiya [84]2 years ago
4 0

Answer:

length of the shortest side = 5 inches

length of the longest side is 7 inches

Step-by-step explanation:

Hexagon has 6 sides

Let x be the shortest side

length of the longest side is x+2

there are 2 shortest sides and 4 longest sides

To find perimeter we add all the sides

Perimeter = 2(x) + 4(x+2)

38= 2(x) + 4x+8

38=6x+8

Subtract 8 from both sides

30=6x

divide both sides by 6

x=5

length of the shortest side = 5 inches

length of the longest side is 7 inches

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What is a simpler form of the expression? (2n 2 + 5n + 3)(4n – 5) A. 8n 3 + 10n 2 – 13n – 15 B. 8n 3 + 30n 2 – 37n – 15 C. 8n 3
Sonja [21]
<span>(2n^2 + 5n + 3)(4n – 5)
= 8n^3 -10n^2 + 20n^2 - 25n + 12n - 15
= 8n^3 + 10n^2 - 13n - 15 

answer is </span><span>A. 8n^3 + 10n^2 – 13n – 15

hope that helps</span>
3 0
2 years ago
Henry knows that the circumference of a circle is 56.52 inches. What is the area of the circle? (Use 3.14 for  and round to the
ahrayia [7]

The area of circle is 254.34 square inches, if the  circumference of a circle is 56.52 inches.

Step-by-step explanation:

The given is,

                       Circumference of a circle is 56.52 inches.

                       \pi =3.14

Step:1

             Formula for circumference of circle is,

                                   Circumference, C = 2\pi r........................(1)

              Where, r - Radius of circle

              From the given,

                           C = 56.52 inches

              Equation (1) becomes,

                                          56.52 = 2 \pi (r)

                                          56.52 = (2) (3.14) (r)

                                          56.52 = 6.28 (r)

                                                 r = \frac{56.52}{6.28}

                                                  r = 9 inches

Step:2

             Formula for area of circle,

                                       Area,A = \pi r^{2}............................(2)

             Where, r  - Radius of circle

             From the given,

                               r = 9 inches

             Equation (2) becomes,

                               A = \pi  (9)^{2}

                                   = (3.14) (81)

                                   = 254.34

      Area of circle, A = 254.34 square inches

Result:

          The area of circle is 254.34 square inches, if the  circumference of a circle is 56.52 inches.

3 0
2 years ago
mr . owns enough money to pay five workers in 12 days if he adds 5 where workers for how long to get paid them at the same rate​
Hatshy [7]

5      10

12      x

Cross multiply = (10 ×  12) / 5 = \frac{120}{5} = 24 days

4 0
3 years ago
F(x)=x^3+9x^2+23x + 15
Airida [17]
This is what I got hope it helps!

4 0
2 years ago
Rita had $9.00. She spent $3.67 on a magazine.
Ket [755]
She has $5.33 left


$9.00
-$3.67
————
$5.33
8 0
2 years ago
Read 2 more answers
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