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
STALIN [3.7K]
2 years ago
8

Is anyone able to figure this out, I can't do this

Mathematics
2 answers:
Bond [772]2 years ago
6 0
The answer to your equation is C
katrin [286]2 years ago
5 0

Answer:

C. √2 - 1

Step-by-step explanation:

If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)

Let r = the radius of the small circle

Using Pythagoras' Theorem a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

to find the diagonal of the square:

\implies r^2 + r^2 = c^2

\implies 2r^2 = c^2

\implies c=\sqrt{2r^2}

So the diagonal of the square = \sqrt{2r^2}

We are told that the radius of the large circle is 1:

⇒ Diagonal of square + r = 1

\implies \sqrt{2r^2}+r=1

\implies \sqrt{2r^2}=1-r

\implies 2r^2=(1-r)^2

\implies 2r^2=1-2r+r^2

\implies r^2+2r-1=0

Using the quadratic formula to calculate r:

\implies r=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\implies r=\dfrac{-2\pm\sqrt{2^2-4(1)(-1)}}{2(1)}

\implies r=\dfrac{-2\pm\sqrt{8}}{2}

\implies r=-1\pm\sqrt{2}

As distance is positive, r=-1+\sqrt{2}=\sqrt{2}-1  only

You might be interested in
What is the length of the the midsegment of a trapezoid with bases of length and ​?
Marina86 [1]

Answer:

The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases.

Step-by-step explanation:

3 0
2 years ago
PLEASE HELP IMMEDIATELY AND SHOW HOW TO DO IT PLS
lisabon 2012 [21]
It’s 30-60-90 Triangle

8 0
3 years ago
A system of linear inequalities is shown below:
Yuki888 [10]
The 4th selection is appropriate:
  The first line is a dashed line which joins ordered pairs (-2, 1) and (3, 1). The second line is a dashed line and joins ordered pairs (-2, -2) and (3, 3). The portion common above the first line and above the second line is shaded

6 0
2 years ago
Which data set contains an outlier?
Bezzdna [24]

The data set which contains an outlier from the given answer choices is; Choice D; {16, 42, 45, 45, 46, 48}.

<h3>What is an outlier?</h3>

An outlier in a set of data values is a data value which differs significantly from other data points and hence, tends to affect the mean of such set of data values significantly.

On this note, choice D is the set of data values which contains an outlier.

Read more on outliers;

brainly.com/question/2749543

#SPJ1

4 0
2 years ago
What is the volume of a cylinder, in cubic centimeters, with a height of 2 centimeters
harina [27]

Answer:

<h2>         V ≈ 628.3 cm³</h2>

Step-by-step explanation:

Volume of cylinder:  V = π×r² × h

diameter = 20 cm  ⇒  r = 10 cm

h = 2 cm

Volume:

V = π×(10)²×2 = 200π cm³ = 628.318.... cm³ ≈ 628.3 cm³

7 0
3 years ago
Other questions:
  • Find the GCF 18x three to the third power and 30x to the fifth power
    15·1 answer
  • Maureen worked 28 hours last week. Her hourly rate is $7.65. What did she earn last week? (do not include dollar sign or comma i
    15·2 answers
  • A bakery uses 63.9 kilograms of flour each hour. How many kilograms of flour will the bakery use in 18 hours?
    5·1 answer
  • Which is 729 written as a power?
    13·1 answer
  • What is <br> the ratio equal for 90:18
    10·2 answers
  • A computer consulting firm presently has bids out on three projects. Let Ai = {awarded project i}, for i = 1, 2, 3, and suppose
    15·1 answer
  • What is the coefficient of 18 ?t=24
    15·1 answer
  • Ali was supposed to meet his friend in th evening every sunday. The first time he came at 4.30,the next time at5. 20,then at 6.3
    13·1 answer
  • A ladder 10 ft long rests against a vertical wall. Let theta be the angle between the top of the ladder and the wall and let be
    15·1 answer
  • On Monday Jimmy went to see a movie that was 112 minutes long is the first 12 minutes of the movie on Tuesday Jimmy went to see
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!