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nevsk [136]
1 year ago
9

HELP ME PLEASE!!!!!!! 50 POINTS!!

Mathematics
1 answer:
garri49 [273]1 year ago
7 0

The scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.

<h3>What is the scale factor from rectangle Q to rectangle R?</h3>

In geometry, the scale factor is a ratio of the resulting length to the initial length. Since the area of the square is equal to the square of its side length, then the scale factor is equal to:

k² = A' / A

k = √(A' / A)

Where:

  • k - Scale factor
  • A' - Area of the rectangle R.
  • A - Area of the rectangle Q.

If we know that A = 2 and A' = 72, then the scale factor is:

k = √(72 / 2)

k = √36

k = 6

Then, the scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.

To learn more on scale factors: brainly.com/question/22312172

#SPJ1

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Bb = brown hair phenotype

bb = black hair phenotype

we see that B = brown hair is the dominant gene while b = black hair is the recessive gene

----------------------------------

ll = short hair, this is a lowercase L

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----------------------------------

Check out the diagram below to see the dihybrid crosses for each of the hair color and hair length genotypes. From there, I show all of the genotypes possible for any offspring. Those genotypes are

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  • Llbb  = long black hair (comes up 4 times)
  • llBb  = short brown hair (comes up 4 times)
  • llbb  = short black hair (comes up 4 times)

-----------------------------------

If we are talking about 1 offspring, then it is not possible for him/her to have both "long black hair AND short brown hair" as the instructions state. So let's consider two offspring instead.

The probability of having long black hair is 4/16 = 1/4 as there are 4 cases of Llbb out of 16 cases total. Similarly, the probability of getting llBb is 4/16 = 1/4 as well, for pretty much the same reasons.

The probability of having both events occur is (1/4)*(1/4) = 1/16

The multiplication of probabilities is valid because the two events are independent.

==============================================

<h3>Final Answer: A) 1/16</h3>

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