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aleksklad [387]
3 years ago
8

Circle

Mathematics
1 answer:
Doss [256]3 years ago
8 0
Siras !  Don't try to picture this all in your head !
You'll wear out your brain.
You MUST sketch it on a piece of paper.
Draw an x-axis and a y-axis, then draw the two circles.

I'm drawing myself a picture right now, and I'm
supposed to be some kind of a genius.

a).  In order to move Circle-Q so that both centers are
at the same point, you need to move the center of Q
4 units down and 2 units to the right.
      When you do that, you'll have the little circle inside the
big circle, with their centers both at the same place.

b).  The radius of Q is 2.
       The radius of P is 20.
       What do you have to multiply 2 by, in order to get 20 ?
       THAT's the scale factor to dilate Q so that it has the same
radius as P.
       When you do that, suddenly it'll look like you only have one circle
on the paper ... they'll both have the same radius and their centers are
at the same place, so you can't tell them apart.

c).  All circles are similar !

I went online (you could easily go there too).  I searched the question
"Are circles similar ?" and a lot of interesting stuff came up.  (you could
do that too).  I saw a lot of ways to prove that all circles are similar. 
The best one says:

       Two figures are "similar" if you can make one of them
       exactly fit on top of the other one (make them congruent)
       with translations and dilations.

You just did that with P and Q !

-- Translation is moving them around.
   You moved Q and put the centers of both circles at the same place.

-- Dilation is blowing it up or blowing it down, so its size changes
but its shape doesn't change.
   You blew Q up so that it had the same radius as P.
   Then the two circles exactly fit over/under each other.

So the two circles are similar. 
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If f ( 4 ) = − 2 , write an ordered pair that must be on the graph of y = f ( x + 4 ) + 1
AlekseyPX

We have been given that

y = f ( x + 4 ) + 1\\
\\
f(4)=-2

Now, we need to find an ordered pair that must be on the graph of

y = f ( x + 4 ) + 1

On substituting x=0 in the above equation, we get

y = f ( 0 + 4 ) + 1\\
\\
y=f(4)+1\\
\\
\text{On substituting the value of f(4)= -2, we get}\\
\\
y=-2+1\\
y=-1

Therefore, the required ordered pair is given by (0,-1)

4 0
3 years ago
If Karri takes a 7 question true false test and guess on every question, what is the
dusya [7]

Answer:

The  probability that she gets all 7 questions correct is 0.0078.

Step-by-step explanation:

We are given that Karri takes a 7 question true-false test and guess on every question.

The above situation can be represented through binomial distribution;

P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,........        

where, n = number of samples (trials) taken = 7 question

            r = number of success = all 7 questions correct

            p = probability of success which in our question is probability that

                   question is correct, i.e. p = 50%

Let X = <u><em>Number of question that are correct</em></u>

So, X ~ Binom(n = 7, p = 0.50)

Now, the  probability that she gets all 7 questions correct is given by = P(X = 7)

         P(X = 7)  =  \binom{7}{7} \times 0.50^{7} \times (1-0.50)^{7-7}

                        =  1 \times 0.50^{7} \times 0.50^{0}

                        =  <u>0.0078</u>

6 0
3 years ago
washington high school's head tennis coach, ms. racket, runs a tennis camp for middle school students every summer. the students
Kaylis [27]

Your question was incomplete. Please refer the content below:

Washington high school's head tennis coach, Ms. racket, runs a tennis camp for middle school students every summer. the students bring their own lunches, but Ms. racket provides them with snacks. there is a proportional relationship between the number of students who enroll in Ms. racket's tennis camp, x, and the total number of snacks she buys, y. what is the constant of proportionality? write your answer as a whole number or decimal. snacks per student.

X      Y

10     30

13     39

14     42

21     63

The constant of proportionality is 3 as for 1 student she buys 3 snacks.

The constant of proportionality means the ratio between the terms x and y.

It is calculated by dividing y by x.

Here we get that:

X      Y           constant of proportionality(Y/X)

10     30                               3

13     39                               3

14     42                               3

21     63                               3

Therefore, we get the constant of proportionality as 3.

Learn more about constant of proportionality here:

brainly.com/question/1835116

#SPJ4

8 0
2 years ago
Solve: 5x(8-4) divide 4-2=
nataly862011 [7]

5x(8 - 4)/4 - 2

Remember to follow PEMDAS.

First, subtract 8 and 4

8 - 4 = 4

5x(4)/4 - 2

Next, follow the left -> right rule, and multiply 5x and 4

5x(4) = 20x

Divide by 4

20x/4 = 5x

Finally, note that one has a variable, and the other has a constant, and so you cannot combine.

5x - 2 is your answer

hope this helps

8 0
3 years ago
A jar contains quarters (worth $\$0.25$ each), nickels (worth $\$0.05$ each) and pennies (worth $\$0.01$ each). The value of the
denis-greek [22]

Answer:It doesn't make sense when I try to do it,I even tried a calculator

Step-by-step explanation: IDK?

7 0
3 years ago
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