1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tomtit [17]
3 years ago
8

A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.

Mathematics
2 answers:
Dovator [93]3 years ago
7 0

Answer:

B

Step-by-step explanation:

So the question really is what is the probability that the point is in the square? You cannot pick something surrounding the circles because you do not know anything about that region.

This is solved by comparing areas. There are 2 full circles there. 1 circle has an area of pi*r^2

Total shaded area = 2 * pi * r^2.

Let r = 3   This is a completely random choice. No matter what number you choose for r, the answer will come out the same. When you get along a little further in math, you will find that you can just use letters.

Total shaded area = 2 * 3.14 * 3^2

Total shaded area = 2 * 3.14 * 9

Total shaded area = 56.55

Total area of the square.

s = 2*r

s = 2*3

s = 6

Area of the square = 6^2 = 36

Total area of both regions = 56.55 + 36 = 92.55

Answer

% = (area of square) * 100% / Total area of both regions

% = 3600 / 92

% = 39%

Obviously the answer I get is not offered. The closest answer is B so I will choose that.

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

This is how this question would be done without using any value for r.

Area of shaded region = 2 pi r^2 = 6.28 r^2

Area of square  = d^2 where d = 2r

Area of square = 4 r^2

Total area = 6.28 r^2 + 4r^2 = 10.28 r^2

Area of square to total = (4r^2/10.28 r^2 ) * 100%

Area of square to total (as a %) = 4/10.28  * 100 = 39% which gives the same answer.

alex41 [277]3 years ago
5 0
B cause that’s what I got
You might be interested in
Angelique had 20 tokens to use for games at the arcade. She lost some of them. Her dad tripled the tokens she had left. Angeliqu
Murljashka [212]

Total number of tokens Angelique had = 20 tokens.

Let us assume she lost t tokens.

Number of tokens she left  = Total tokens - number of lost tokens = 20-t.

Her father triple the remaining tokens.

Total number of tokens after tripling reaming tokens = 3 times remaining tokens = 3(20-t).

If we distribute 3 over (20-t) we get 60-3t.

Let us define each part of Angelique expression 3(20-t).

3(20-t) is the three time (or tripling of) remaining (20-t) tokens. Where t is the number of lost tokens and 20 is the total number of tokens.

60-3t is the three time of total tokens minus three times of number of lost tokens t.


8 0
3 years ago
Read 2 more answers
Select the correct answer.
Fittoniya [83]

Answer:

The answers C

Step-by-step explanation:

Just took it and got it right! Sorry for the other guy, feels bad :/

3 0
3 years ago
Read 2 more answers
Determine if each relation is a function. Explain your reasoning.
cupoosta [38]

Answer:

The first picture is a function while the second one is not.

Step-by-step explanation:

Reason - first picture passed the vertical line test, the other didn't.

5 0
3 years ago
Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int
mrs_skeptik [129]

Answer:

Vertex form: f(x) =(x +\frac{1}{2})^2 -\frac{29}{4}

The vertex is (-\frac{1}{2},-\frac{29}{4})

Step-by-step explanation:

For a general quadratic function the form is:

ax ^ 2 + bx + c

For the function

f(x) = x ^ 2+ x -7

The values of the coefficients for the function are the following: a = 1, b =1, c = -7

Take the value of b and divide it by 2. Then, the result obtained squares it.

\frac{b}{2}= \frac{1}{2}

(\frac{b}{2})^2=(\frac{1}{2})^2=\frac{1}{4}

Add and subtract \frac{1}{4}

f(x) = (x ^ 2 +x +\frac{1}{4}) -\frac{1}{4}- 7

Write the expression of the form

f(x) = (x+\frac{b}{2})^2 +k

f(x) =(x +\frac{1}{2})^2 -\frac{29}{4}

The vertex is (h, k)

The vertex is: (-\frac{1}{2},-\frac{29}{4})

3 0
3 years ago
Tom found that a linear equation with one variable (the variable x) can be transformed into an equivalent equation that has no s
vesna_86 [32]

Answer:

0=1

Step-by-step explanation:

0=1 is not equal

5 0
3 years ago
Read 2 more answers
Other questions:
  • I don't get this, do you guys think you can solve it?
    13·1 answer
  • Capacity of the football stadium.<br> A) Quantitative<br> B Qualitative
    12·2 answers
  • Two numbers differ by 5. Seven times the smaller plus four times the larger is 108. Find the number
    9·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20-%2048%7D%20" id="TexFormula1" title=" \sqrt{ - 48} " alt=" \sqrt{ - 48} " ali
    10·1 answer
  • Help uh yes thank u ? wait that’s not long enough okay now it is
    15·1 answer
  • Is 3.13 greater than 3.12
    13·2 answers
  • What are the foci of the ellipse given by the equation 225x^2+144y^2=32,400?
    15·1 answer
  • Area of a circle mathswatch answrts
    13·1 answer
  • 16
    8·1 answer
  • Given the endpoints of a segment, find the length of each segment.<br>A (-3, 7) and B (-5, 2)​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!