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Nonamiya [84]
3 years ago
11

Which sequence of transformations proves that shape I is similar to shape II?

Mathematics
2 answers:
Serhud [2]3 years ago
4 0

Answer:

B. a reflection across X axis and then a dilation by a scale factor of 1.5

Step-by-step explanation:

As clear from the graph all the coordinates of image 2 are 1.5 times of image 1 so shape 2 is dilated by the scale factor 1.5.

It is evident from the graph that lines AO and A"O"are parallel to each other so shape 2 is the reflection of shape 1.

Now we calculate the magnitude of line AB

m1 = (y2-y1)/(x2-x1)

    =(-3+6)/(-4.5=9)

    =3/4.5

    =1/1.5

    =2/3

Next we calculate magnitude m2 of A"B"  

m2= (2-4) /(-3+6)

     =(-2/3)

Then we know Tan(180-∅) = -tan∅

similarly if m1=(-m2)

then the one line having magnitude m2 is the rotated image through X axis by 180° of the line having magnitude m1.

So the answer is B.

Grace [21]3 years ago
3 0

Answer:

b

Step-by-step explanation:

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g: Consider the following game. A coin is flipped. If it lands tails we stop playing and winnothing. If it lands heads we spin a
galben [10]

Answer:

E[W] = $25 (assuming the currency is in dollars)

Var(W) = 1041.67

Step-by-step explanation:

Probability of winning first starts with the coin toss.

For a win, the coin needs to land on heads.

Probability of that = 1/2 = 0.5

Then probability of winning any amount = 1/100 = 0.01

Total probability of winning any amount = 0.5 × 0.01 = 0.005

But expected value is given by

E(X) = Σ xᵢpᵢ

where xᵢ is each amount that could be won

pᵢ is the probability of each amount to be won and it is the same for all the possible winnings = 0.005

So,

E(W) = Σ 0.005 xᵢ

Summing from 0 to 100 (0 indicating getting a tail from the coin toss). This could be done with dome faster with an integral sign

E(W) = ∫ 0.005 x dx

Integrating from 0 to 100

E(W) = [0.005 x²/2]¹⁰⁰₀

E(W) = [0.0025 x²]¹⁰⁰₀ = 0.0025(100² - 0²) = 0.0025 × 10000 = $25

Variance is given by

Variance = Var(X) = Σxᵢ²pᵢ − μ²

μ = expected value

We calculate the expression, Σxᵢ²pᵢ which is another sum from 0 to 100

Σxᵢ²pᵢ = Σ 0.005xᵢ²

Σ 0.005 xᵢ² = ∫ 0.005 x² dx

Integrating from 0 to 100

∫ 0.005 x² dx = [0.005 x³/3]¹⁰⁰₀ = [0.1667x³]¹⁰⁰₀ = 0.1667(100³ - 0³) = 1666.67

Var(W) = 1666.67 - 25² = 1666.67 - 625 = 1041.67.

5 0
3 years ago
Write the steps you would use to solve the following quadratic equation (X+3)²=6. Show two different methods.
Aliun [14]
X^2+6x+9 that is one method
6 0
3 years ago
If a 15 ft tall adult giraffe casts a 18 ft long shadow, then how long is the shadow that a 5 ft tall bird bath casts?​
Lemur [1.5K]

Answer:

<h3>x = 6 ft. long shadow</h3><h3></h3>

Step-by-step explanation:

its a ratio and proportion:

<u>  15 ft. tall giraffe     </u>   =  <u>   5 ft. tall bird    </u>

    18 ft. shadow                 x shadow

15 (x) = 18 (5)

x = 90 / 15

x = 6 ft. long shadow

8 0
3 years ago
I need helpppppp.....
Ulleksa [173]

Answer:

d

Step-by-step explanation:

8 0
3 years ago
Soemone pls help plsss.​
Daniel [21]

Answer:

2 over 5 (2/5)

Step-by-step explanation:

4 0
3 years ago
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