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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

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Geometry segment proofs​
Lemur [1.5K]

solving a linear equation we conclude that the value of x must be 6.

<h3>How to find the value of x?</h3>

On the statement we have the relations:

AB = BC

BC = CD

For the transitive property, then we have that:

AB = CD

Replacing the equations in the image, we get:

2x + 1 = 4x - 11

Solving this linear equation for x we get:

1 + 11 = 4x - 2x

12 = 2x

12/2 = x

6 = x

So yes, solving that linear equation we conclude that the value of x must be 6.

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8 0
1 year ago
What is the value of x? Enter your answer in the box. x =
creativ13 [48]

x=5

a^+b^=c^

a^+12^=13^

a^+144=169

a^=25

a=square root of 25

a=5

4 0
3 years ago
Plz Help!!
DIA [1.3K]
I think the answer is 3/8 pounds. You multiply the 3/4 pounds by 1/2 because the recipie has been cut in half. Hope this helps!
3 0
3 years ago
on jan 22 0217 the cost to mail a letter in the us was raised from 47 to 49 centrs. find the relative change in the cost
Nikolay [14]

The relative change is 2%.

<h3>What is relative change?</h3>

In contrast to the reference value, the absolute change's size is expressed as a fraction called the relative change: relative change = absolute change reference value = new value reference value reference value. The absolute change is expressed as a percentage of the value of the indicator in the prior period, or "relative change" expresses the absolute change as such. When measuring indicators in percentage terms, such as the unemployment rate, absolute and relative change principles also apply. To determine the absolute change, subtract the starting value from the ending value. Simply deduct 1,000 from 1,100 to arrive at 100 in the example. The student population increased by 100 pupils throughout the course of the year because this is the absolute change.

To know more about relative change ,visit:

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5 0
1 year ago
PLEASE HELP
enot [183]

Answer:18.9 miles

1 inch=5.4

3.5 inches =3.5×5.4

=18.9miles

hope this helps

please like and mark as brainliest

7 0
3 years ago
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