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den301095 [7]
3 years ago
6

Please help! I will award brainliest!

Mathematics
1 answer:
blsea [12.9K]3 years ago
3 0

the rest would be 43 cause you have to take away 50 from 180 n divide tht

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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
What is the percentage of lemons in the is group of lemons and strawberries?
Vitek1552 [10]

Answer:

70%  

Step-by-step explanation:

60 - Altogether

18 - Strawberries

42 - Lemons

42/60 = 0.7

0.7 x 100 = 70%

8 0
2 years ago
Read 2 more answers
In the USA today internet poll 73 percent of readers indicated that they were satisfied with their lives.
Anni [7]

Answer:

c) Population parameter or Population statistic

Step-by-step explanation:

<u>Population</u>:-

<em>The totality of observation with which we are concerned , whether this number be finite or infinite is called population</em>

<u>Sample </u>:

A sample is subset of a Population

Given data  the USA today internet poll is called Population

<em>Given data 73 percent of readers are satisfied with their lives. </em>

<em>This is called Population parameter.</em>

6 0
2 years ago
What is the area of the trapezoid?
Akimi4 [234]

Answer:

264 cm^2.

Step-by-step explanation:

The area = 1/2 * height * sum of the parallel sides

= 1/2 * 12 * (28 + 16)

= 6 * 44

= 264 cm^2.

4 0
2 years ago
Find the solution set for the equation.<br> |7x - 5] +5=14
mr Goodwill [35]
X = 2. Here’s a link; https://www.tiger-algebra.com/drill/(7x-5)_5=14/
3 0
2 years ago
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