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Gnoma [55]
3 years ago
13

Triangle 1 is transformed as shown in the diagram, resulting in triangle 3. Describe the transformations.

Mathematics
2 answers:
beks73 [17]3 years ago
6 0

Answer:

D) translation, then reflection

Step-by-step explanation:

First the triangle 1 is translated in the right side to make triangle 2. Then the 2 triangle is reflected over to get triangle 3.

So, the correct answer is - translation, then reflection

In reflection transformation, the figure is reflected or flipped on a line called the axis of reflection or line of reflection. And translation means moving or shifting of a figure.

Leokris [45]3 years ago
6 0
Triangle 1 - 2 shows a translation. A translation is when the triangle doesn't change shape, rotation, or size. It just slides. The 2- 3 shows a mirror image, which would be a reflection. Therefore, your answer is D.
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The SAT scores have an average of 1200 with a standard deviation of 60. A sample of 36 scores is selected. a) What is the probab
erastova [34]

Answer:

the probability that the sample mean will be larger than 1224 is  0.0082

Step-by-step explanation:

Given that:

The SAT scores have an average of 1200

with a  standard deviation of 60

also; a sample of 36 scores is selected

The objective is to determine  the probability that the sample mean will be larger than 1224

Assuming X to be the random variable that represents the SAT score of each student.

This implies that  ;

S \sim N ( 1200,60)

the probability that the sample mean will be larger than 1224 will now be:

P(\overline X > 1224) = P(\dfrac{\overline X - \mu }{\dfrac{\sigma}{\sqrt{n}} }> \dfrac{}{}\dfrac{1224- \mu }{\dfrac{\sigma}{\sqrt{n}} })

P(\overline X > 1224) = P(Z > \dfrac{1224- 1200 }{\dfrac{60}{\sqrt{36}} })

P(\overline X > 1224) = P(Z > \dfrac{24 }{\dfrac{60}{6} })

P(\overline X > 1224) = P(Z > \dfrac{24 }{10} })

P(\overline X > 1224) = P(Z > 2.4 })

P(\overline X > 1224) =1 -  P(Z \leq 2.4 })

From Excel Table ; Using the formula (=NORMDIST(2.4))

P(\overline X > 1224) = 1 -  0.9918

P(\overline X > 1224) = 0.0082

Hence;  the probability that the sample mean will be larger than 1224 is  0.0082

4 0
4 years ago
Which situation is best represented by the following equation?
Gennadij [26K]

Answer:

D

Step-by-step explanation: because W in the equation is the number of weeks she paid for the self defense class. and the 12.50 would be the registration fee because that  is added on top of the number of 40w.

40w + 12.50 = 492.50

         -12.50       -12.50

40w = 480.00

w = 12 which is how many weeks she paid

5 0
3 years ago
A cat is stuck in a tree. A firefighters 15-foot ladder is the leaning against a tree. The ladder and the ground form a 62° angl
artcher [175]
To solve this problem you must apply the proccedure shown below:

 1. You have:

 Sinα=opposite/hypotenuse

 α=62°
 opposite=x
 hypotenuse=15 ft

 2. When you substitute the values into  Sinα=opposite/hypotenuse, you obtain:

 Sinα=opposite/hypotenuse
 Sin(62°)=x/15

 3. You must clear "x", as below:

 x=(15)(Sin(62°))
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5 0
3 years ago
"write the expression in radical form and then evaluate"
Gennadij [26K]
What is the expression?

3 0
3 years ago
Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.
____ [38]

Let z=-\sqrt3+i. Then

|z|=\sqrt{(-\sqrt3)^2+1^2}=2

z lies in the second quadrant, so

\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6

So we have

z=2e^{i5\pi/6}

and the fourth roots of z are

2^{1/4}e^{i(5\pi/6+k\pi)/4}

where k\in\{0,1,2,3\}. In particular, they are

2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}

2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}

2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}

2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}

7 0
3 years ago
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