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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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Determine the number of real solutions for each of the given equations. Equation Number of Solutions y = -3x2 + x + 12 y = 2x2 -
rosijanka [135]

Answer:

Step-by-step explanation:

Our equations are

y = -3x^2 + x + 12\\y = 2x^2 - 6x + 5\\y = x^2 + 7x - 11\\y = -x^2 - 8x - 16\\

Let us understand the term Discriminant of a quadratic equation and its properties

Discriminant is denoted by  D and its formula is

D=b^2-4ac\\

Where

a= the coefficient of the x^{2}

b= the coefficient of x

c = constant term

Properties of D: If D

i) D=0 , One real root

ii) D>0 , Two real roots

iii) D<0 , no real root

Hence in the given quadratic equations , we will find the values of D Discriminant  and evaluate our answer accordingly .

Let us start with

y = -3x^2 + x + 12\\a=-3 , b =1 , c =12\\D=1^2-4*(-3)*(12)\\D=1+144\\D=145\\D>0 \\

Hence we have two real roots for this equation.

y = 2x^2 - 6x + 5\\

y = 2x^2 - 6x + 5\\a=2,b=-6,c=5\\D=(-6)^2-4*2*5\\D=36-40\\D=-4\\D

Hence we do not have any real root for this quadratic

y = x^2 + 7x - 11\\a=1,b=7,-11\\D=7^2-4*1*(-11)\\D=49+44\\D=93\\

Hence D>0 and thus we have two real roots for this equation.

y = -x^2 - 8x - 16\\a=-1,b=-8,c=-16\\D=(-8)^2-4*(-1)*(-16)\\D=64-64\\D=0\\

Hence we have one real root to this quadratic equation.

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3 years ago
Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ
Oksanka [162]
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(y2-y1)/(x2-x1)
given
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5 0
3 years ago
Can someone help me with this math homework please!
jolli1 [7]

Answer:

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4 0
3 years ago
You estimate that a puppy weighs 12 pounds. The actual weight of the puppy is 14 pounds. Find the percent error. Round your answ
Amiraneli [1.4K]

Answer:

The Estimated weight of the puppy = 12 pounds

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= 2 pounds  

⇒ [(14 - 12)*100]/14

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⇒ 200/14

⇒ 14.285 %  

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2,3,7,8=
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