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satela [25.4K]
3 years ago
13

Two similar FOR SALE signs have a scale factor of 5:3. The largest sign’s perimeter is 60 inches. Find the small sign’s perimete

r.
Mathematics
1 answer:
Ulleksa [173]3 years ago
5 0

The small sign's perimeter is 36 inches

Step-by-step explanation:

The scale factor between two figures is obtained by:

Scale = \frac{P_{l}}{P_{s}}

So,

We know that

Scale= 5:3\\P_l = 60\ in\\

Putting the values in the above equation of scale factor we get

\frac{5}{3} = \frac{60}{P_s}

Cross multiplication

5 * P_s = 60*3\\5P_s = 180

Dividing both sides by 5

\frac{5P_s}{5} = \frac{180}{5}\\P_s = 36

Hence,

The small sign's perimeter is 36 inches

Keywords: Scale factor, Ratio

Learn more about scale factor at:

  • brainly.com/question/8799684
  • brainly.com/question/8805387

#LearnwithBrainly

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Each student gets 2 1/3

Step-by-step explanation:

So you would divide 7 by 3, which you can't...so 6 divided by 3 is 2, and when you split the last one into thirds you can each have 1/3. Add the sections together, and each person gets 2 1/3

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The product of a number and -3, increased by 8, is 20
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3 years ago
The line plot shows the results of a survey of 10 boys and 10 girls about how many hours they spent reading for pleasure the pre
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10 students per gender:

Boys:  <span>four Xs over five and one X over zero, two, three, four, ten, and twelve. 
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</span><span>Girls: three Xs above eight, two Xs above three and four, and one X above two, six and seven.
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The boys have the higher range while the girls have the higher mean value.


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8 0
3 years ago
F(x) = (3x + 6) (x - 3)²
Sever21 [200]

f(x)= 3x³ - 18x +9

Algebraic identities are algebraic equations that are true regardless of the value of each variable. Additionally, they are employed in the factorization of polynomials. Algebraic identities are employed in this manner for the computation of algebraic expressions and the solution of various polynomials.

Identity I: (a + b)² = a² + 2ab + b²

Identity II: (a – b)² = a² – 2ab + b²

Identity III: a² – b²= (a + b)(a – b)

Identity IV: (x + a)(x + b) = x² + (a + b) x + ab

Identity V: (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

Identity VI: (a + b)³ = a³ + b³ + 3ab (a + b)

Identity VII: (a – b)³ = a³ – b³ – 3ab (a – b)

Identity VIII: a³ + b³ + c³ – 3abc = (a + b + c)(a² + b² + c² – ab – bc – ca)

f(x) = (3x + 6) (x - 3)²

      = ( 3x + 6) ( x - 3 )²

      = ( 3x + 6)( x² - 6x + 9)

      = 3x( x² - 6x + 9) + 6( x² - 6x + 9)

      = 3x³ - 6x² + 18x + 6x² - 36x +9

      = 3x³ - 18x +9

To learn more about algebraic expansions, refer to brainly.com/question/4344214

#SPJ9

5 0
2 years ago
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