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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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341.414141414...

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5 0
3 years ago
In a play-school with 500 students, the number of boys is 20 more than five-sevenths of the number of girls. Let’s find the numb
Arisa [49]

Answer:

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Step-by-step explanation:

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KonstantinChe [14]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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(x^(2)-11x+30)/(x^(2)-25)*(x^(2)+6x+5)/(x-5x-6) simplify the rational expression
DanielleElmas [232]
Simplify the following:
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The factors of 5 that sum to 6 are 5 and 1. So, x^2 + 6 x + 5 = (x + 5) (x + 1):
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The factors of 30 that sum to -11 are -5 and -6. So, x^2 - 11 x + 30 = (x - 5) (x - 6):
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x - 5 x = -4 x:
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Factor -2 out of -4 x - 6:
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x^2 - 25 = x^2 - 5^2:
((x - 5) (x - 6) (x + 5) (x + 1))/(-2 (x^2 - 5^2) (2 x + 3))

Factor the difference of two squares. x^2 - 5^2 = (x - 5) (x + 5):
((x - 5) (x - 6) (x + 5) (x + 1))/(-2(x - 5) (x + 5) (2 x + 3))

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((x - 6) (x + 1))/(-2 (2 x + 3))

Multiply numerator and denominator of ((x - 6) (x + 1))/(-2 (2 x + 3)) by -1:

Answer: (-(x - 6) (x + 1))/(2 (2 x + 3))
4 0
3 years ago
What is the difference between 8753 and 967?<br>​
evablogger [386]

Answer:

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