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Sonja [21]
2 years ago
5

The figure below shows a circular park. Its radius is 18 yd.

Mathematics
2 answers:
Naddika [18.5K]2 years ago
3 0
  • Radius=r=18yd

Circumference

  • 2πr
  • 2(18)(3.14)
  • 36(3.14)
  • 113.04yd

Area

  • πr²
  • π(18)²
  • 324π yd²
Alecsey [184]2 years ago
3 0

Answer:

Ig u have forgotten about the figure u need to ask it again but with figure

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How many 10-digit ternary strings are there that contain exactly two 0s, three 1s, and five 2s?
Svet_ta [14]

There are \dbinom{10}2 ways of picking 2 of the 10 available positions for a 0. 8 positions remain.

There are \dbinom83 ways of picking 3 of the 8 available positions for a 1. 5 positions remain, but we're filling all of them with 2s, and there's \dbinom55=1 way of doing that.

So we have

\dbinom{10}2\dbinom83\dbinom55=\dfrac{10!}{2!(10-2)!}\dfrac{8!}{3!(8-3)!}\dfrac{5!}{5!(5-5)!}=2520

The last expression has a more compact form in terms of the so-called multinomial coefficient,

\dbinom{10}{2,3,5}=\dfrac{10!}{2!3!5!}=2520

5 0
2 years ago
What is the modulus of the complex number z=e^itheta - 1 ?
timama [110]

Answer:

eahti-1

Step-by-step explanation:

8 0
2 years ago
Rewrite 3x+5y=11 and -5x+7y=9 in slope intercept form
chubhunter [2.5K]

Problem 1

subtract 3 x

5y=-3x+11

divide 5

y=3/5x+2.2'

Problem 2

add 5x

7y=5x+9

divide 7

y=5/7x+1.3'

'notice'

you can put 2.2 into a fraction (11/5) and 1.3 (9/7) if your teacher allows it, but i put them into decimals

4 0
3 years ago
Find the value of x in each case. Give reasons to justify your solutions! NEEDED ASAP
Mashcka [7]

Answer:

<em>( x = 17° )</em>

Step-by-step explanation:

Consider the following steps;

m< ZYW = 2x - Given,\\m< YXW = ( 3x - 5 ) - Given,\\m< XYW = 90 - Given,\\\\m< YXW + m< XYW + m< YWX = 180 - Sum of Angles in Triangle,\\( 3x - 5 ) + 90 + m< YWX = 180,\\3x - 5 + 90 + m< YWX = 180,\\3x - 5 + m< YWX = 90,\\m< YWX = 90 - 3x - 5,\\m< YWX = 85 - 3x,\\\\m< ZYW = m< YWX - Alternate Interior Angles,\\2x = 85 - 3x,\\5x = 85,\\Conclusion ; ( x = 17 degrees )

<em>Solution ; ( x = 17° )</em>

4 0
3 years ago
Help please thank you
zhenek [66]

Answer:

Step-by-step explanation:

I would help you but I don’t know what one ??x

8 0
3 years ago
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