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3 years ago

9

Identify the transformation that carries the figure onto itself.

1 answer:

notsponge [240]3 years ago

5 0

A diagonal Reflection

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A line has a slope of -4/5. Which ordered pairs can be points on the line is perpendicular to this line

pychu [463]

Answer:

Any ordered pairs which have a slope of 5/4.

Step-by-step explanation:

The line has a slope of -4/5 which means the y values have a difference of -4 and the x values have a difference of 5. If the line is perpendicular to this line then its slope must be the negative reciprocal which is 5/4. Any points which have a difference in y values of 5 and a difference of x values of 4 will be on some line perpendicular to the original.

6 0

3 years ago

in a standard casino dice game the roller wins on the first roll if he rolls a sum of 7 or 11. what is the probability of winnin

Alborosie

<u>Answer-</u>

<em>The probability of winning on the first roll is </em><em>0.22</em>

<u>Solution-</u>

As in the game of casino, two dice are rolled simultaneously.

So the sample space would be,

$|S|=6^2=36$

Let E be the event such that the sum of two numbers are 7, so

E = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}

$|E|=56$

$\therefore P(E)=\dfrac{|E|}{|S|}=\dfrac{6}{36}$

Let F be the event such that the sum of two numbers are 11, so

F = {(6,5), (5,6)}

$|F|=2$

$\therefore P(F)=\dfrac{|F|}{|S|}=\dfrac{2}{36}$

Now,

$P(\text{sum is 7 or 11)}=P(E\ \cup\ F)=P(E)+P(F)=\dfrac{6}{36}+\dfrac{2}{36}=\dfrac{8}{36}=\dfrac{2}{9}=0.22$

8 0

3 years ago

Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.

worty [1.4K]

Answer:

Part A) Circumference

Part B) $C=\pi D$

Part C) The distance traveled in one rotation is 628.32 feet

Step-by-step explanation:

Part A) we know that

The distance around the circle is equal to the circumference.

The Ferris Wheel have a circular shape

so

To find out the distance around the Ferris Wheel you should use the circumference

Part B) What is the formula needed to solve this problem?

we know that

The circumference is equal to multiply the number π by the diameter of the circle

so

$C=\pi D$

Part C) What is the distance traveled in one rotation?

we know that

One rotation subtends a central angle of 360 degrees

The distance traveled in one rotation is the same that the circumference of the Ferris wheel

we have

$D=200\ ft$ ----> diameter of the Ferris wheel

substitute in the formula of circumference

$C=\pi (200)\\C=200\pi\ ft$

assume

$\pi=3.1416$

$C=200(3.1416)=628.32\ ft$

therefore

The distance traveled in one rotation is 628.32 feet

3 0

2 years ago

n the description of the following experiment, determine the experimental factor. A pharmaceutical company conducted an experime

arlik [135]

Answer:

Type of drink given to each group

Step-by-step explanation:

5 0

1 year ago

Please Help !!!!!!!!!!!!!!

TEA [102]

Answer:

27

Step-by-step explanation:

643-166=477

477÷18=26.5

Then, round to the nearest whole.

Which makes it 27 sets.

7 0

2 years ago