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Alchen [17]
3 years ago
6

(S^2 +r^2)^2 Please show me how you got the answer.

Mathematics
1 answer:
BabaBlast [244]3 years ago
5 0
(s^2+r^2)^2=s^4+2r^2s^2+r^4\\\\
(a+b)=a^2+2ab+b^2
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Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12 cm and is the longest side of ABC. Side DE measures 8 cm and
olga55 [171]

Answer: scale factor = 1.5

Step-by-step explanation:

\text{Scale factor}=\dfrac{\text{Side length of image}}{\text{Side length of original figure}}

Given: Triangle ABC is a scaled copy of triangle DEF.

Side AB = 12 cm and is the longest side of ABC.

Side DE = 8 cm and is the longest side of DEF.

\text{For similar triangles, Corresponding sides are proportional.}

AB is corresponds DE (longest side of both triangles)

So, \text{Scale factor}=\dfrac{\text{AB}}{\text{DE}}=\dfrac{12}{8}=1.5

Hence, the scale factor = 1.5.

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3 years ago
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For which polygon is the sum of the interior angles equal to 720 degrees?
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Max makes $3000 a month. He puts 15% in savings each month. After a year how much would he have in savings?
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Mary and Gary had some stickers in the ratio 5:3. After Mary had given 1/3 of her stickers to Gary, the new ratio of the number
polet [3.4K]

The total number of stickers the 2 children had was 192 stickers.

Let x represent Mary initial stickers, y represent Gary initial stickers and z represent the total stickers.

x + y = z

  • x + y - z = 0     (1)

They shared in the ratio of 5:3, hence:

x = (5/8)z

  • 8x - 5z = 0      (2)

Mary gives 1/3 of her stickers to Gary to have 32 more stickers than her.

(1/3)x = (1/3)(5/8)z = (5/24)z

y + (1/3)x = (2/3)x + 32

  • y - (1/3)x = 32    (3)

Solving equation 1, 2 and 3 gives:

x = 120, y = 72, z = 192

The total number of stickers the 2 children had was 192 stickers.

Find out more on equation at: brainly.com/question/13763238

6 0
2 years ago
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