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1 year ago

IF CORRECT ILLL BIVE U BRAINLIEST NEED FAST PLS

Mathematics

1 answer:

Montano1993 [528]1 year ago

5 0

Answer: The first one -4x-3<13

Step-by-step explanation: because they didn't really tell us what happened to the 3 just that the 3 disappeared and the 13 became 16

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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

9/12 as an equivelant fraction

Phantasy [73]

Answer:

3/4

Step-by-step explanation:

9/12

Divide the top and bottom by 3

9/3 = 3

12/3 = 4

The fraction becomes 3/4

3 0

2 years ago

The Students at Sunnyside School built a rectangular pyramid of aluminum cans for a world record. The top layer had 2 rows with

Lana71 [14]

2 times 3 equals 6.and 4 times6 equals 24.and 8 times 12 equals 96 add them all together and you will get 126

HOPE THIS HELPS
If it does please press the heart thing please

7 0

3 years ago

Sam is rolling a number cube with the numbers 1, 1, 2, 2, 3, and 3 printed on it.

Illusion [34]

Sam has the probability of 0 because hes only using 1 cube with 1 number on each side.

8 0

3 years ago

Select the correct answer.

bezimeni [28]

I think it would be A

5 0

3 years ago