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qwelly [4]
3 years ago
11

A chord in a circle is 18 cm long and is 5 cm from the center of the circle. How long is the radius of the circle?

Mathematics
1 answer:
zzz [600]3 years ago
4 0

Answer:

r=\sqrt{106}\ cm

Step-by-step explanation:

see the attached figure to better understand the problem

Applying Pythagoras Theorem in the right triangle ODB find the radius of the circle

r^{2}=9^{2}+5^{2}

r^{2}=81+25

r=\sqrt{106}\ cm

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lara [203]

Answer:

-6.5 is a rational number.

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2 years ago
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. A hat contains 100 coins, where 99 are fair but one is double-headed (always landing Heads). A coin is chosen uniformly at ran
SOVA2 [1]

Answer:0.565

Step-by-step explanation:

Hat contain 100 coins out of which 99 is fair and one is double headed.

Probability of getting 7 heads is sum of Head through fair coin+heads through biased coin

Probability of getting a head through a fair coin=0.5

P(7 heads)=0.99\times 0.5^7+0.01\times 1

P(Double head |7 heads )=\frac{Probability\ of\ 7\ heads\ and\ double\ headed}{probability\ of\ 7\ heads}

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8 0
3 years ago
The sides of a triangle are in the ratio of 2:3:4. If the measure of the shortest side of the triangle is 12 centimeters, what i
Scorpion4ik [409]
To answer this, we let x some factor that would agree or make the ratio given true. We calculate as follows:

<span>2:3:4
2x:3x:4x

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3 0
2 years ago
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When Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75. When Judy worked 2 hours and Ben worked 6 hours, the
arsen [322]

Answer:

$15

Step-by-step explanation:

let the hourly rate of pay for Ben  = B

let the hourly rate of pay for Judy  = J

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              4J + B = 75 ----- i

Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120

               2J + 6B  = 120 --- ii

Now, we should solve the expression;

   Multiply equation ii by 2 and equation i by 1;

 

            4J + B = 75 ----- i    x 1  ;    4J + B  = 75          -- iii

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Now,

 equation iv - iii;

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So, solving for J;

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3 years ago
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