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2 years ago

11

What is the middle of 1 and 6

2 answers:

devlian [24]2 years ago

5 0

Answer:

The middle between two numbers is the average of those numbers. So we add those two numbers together and divide by two. And the answer is (1 + 6) / 2 = 3.5

antiseptic1488 [7]2 years ago

5 0

Answer:

it's 3.5

Step-by-step explanation:

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

katrin [286]

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

5 0

2 years ago

Read 2 more answers

Given the equation Y -3 equals 1/2 (X +6 )in point slope form identify the equation of the same line in standard form

liberstina [14]

The standard form of a line:

$Ax+By=C$

We have the equation of a line in the slope-point form:

$y-3=\dfrac{1}{2}(x+6)$ use distributive property

$y-3=\dfrac{1}{2}x+3$ add 3 to both sides

$y=\dfrac{1}{2}x+6$ multiply both sides by 2

$2y=x+12$ subtract x from both sides

$-x+2y=12$ change the signs

$x-2y=-12$

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3 years ago

Suppose that Stephen is the quality control supervisor for a food distribution company. A shipment containing many thousands of

solmaris [256]

Answer:

what subject is this in

Step-by-step explanation:

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3 years ago

A number is multiplied by 3. If 3 is subtracted from the product you get 24.

vladimir1956 [14]

Nine is the answer cuz it equals 27 then subtract 2 equals 24

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2 years ago

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The sum of three consecutive even numbers is 90

AleksAgata [21]

Find the cube root of 90 if there isn't, try to compare irrational numbers

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