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DENIUS [597]
3 years ago
13

If a circle garden has a diameter of 60 feet and there’s a sidewalk 18 feet from the center, how long is the sidewalk?

Mathematics
1 answer:
Paul [167]3 years ago
8 0

Answer:

Step-by-step explanation:

Conditions

  • A diameter must be chosen such that it meete the sidewalk perpendicular to itself.
  • The diameter meets the sidewalk at the sidewalk's midpoint.
  • The diameter meets the sidewalk such that the diameter is cut into two segments 30+18 and 12
  • The sidewalk is cut in 1/2 where the diameter meets the sidewalk as the diagram shows.
  • If all these conditions are met, the relationship between the four lines is

Equation

48/12 = x^2

Solution

4 = x^2

sqrt(x^2) = sqrt(4)

x  = 2

The length of the sidewalk is 4. Why is it doubled.

Because there are 2 xs of equal length

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Two assembly lines I and II have the same rate of defectives in their production of voltage regulators. Six regulators are sampl
Kamila [148]

Answer:

0.4546

Step-by-step explanation:

nCr = n!/(n-r)!r!

Number of ways of selecting the four defective voltage regulators from 12 =  12C4 = 12!/(12-4)!4! = 12!/8!4! = (12 *11*10*9)/(4*3*2*1)

12C4 =  495 ways

Number of ways of selecting 2 defectives from line 1 = 6C2 * 6C2

6C2 = 6!/(6-2)!2! = 6!/4!2! = (6*5)/(2*1) = 15

6C2 * 6C2 = 15*15 = 225 ways

Probability = Number of possible outcomes/ Number of total outcomes

Probability that exactly 2 of the defective regulators came from line 1 = 225/40.95 = 0.4546

4 0
3 years ago
Someone please help asap!!! How do I know where to shade at?
alexira [117]

Shade the top side of the boundary line if you have the inequality symbols > or ≥. Shade the bottom side of the boundary line if you have the inequality symbols < or ≤.

\large\bold\red{Answered By Ayush8928 }

=================•✠•================

6 0
3 years ago
HELP PLSS ANYONE? I'VE TO SUBMIT ASAP
Alenkinab [10]

x =14

Answer:

m\angle ABC =  51°

Step-by-step explanation:

11. By inscribed angle theorem:

83°=\frac{1}{2} \times (9x+40)°\\\\83°\times 2 = (9x+40)°\\166°= (9x+40)°\\166 = 9x + 40\\166 - 40 = 9x\\126 = 9x\\\\x = \frac{126}{9}\\\\\huge \red {\boxed {x = 14}}

12. Again by inscribed angle theorem:

(5x+11)°=\frac{1}{2} \times (16x-26)°\\\\2\times (5x+11)°= (16x-26)°\\(10x+22)°= (16x-26)°\\10x + 22 = 16x - 26\\22+26 = 16x - 10x\\48= 6x\\\\x = \frac{48}{6}\\\\\huge \purple{\boxed {x = 8}}\\m\angle ABC =  (5x+11)°\\m\angle ABC =  (5\times 8+11)°\\m\angle ABC =  (40+11)°\\\huge \orange{\boxed {m\angle ABC =  51°}} \\

7 0
3 years ago
There are (4^9)5 ⋅ 4^0 books at the library. What is the total number of books at the library?
LenKa [72]
Your answer is B. You multiply 5 by the exponents and 4^0 is just 1, so 4^45•1=4^45. Hope this helped!
7 0
3 years ago
If the sum of four consecutive numbers is 854, what is the third one?
lukranit [14]

Answer:

214

Step-by-step explanation:

The set up would be x + (x + 1) + (x + 2) + (x + 3) = 854, naturally as the numbers are consecutive. Solving for x:

x + (x + 1) + (x + 2) + (x + 3) = 854,

x + x + 1 + x + 2 + x + 3 = 854,

4x + 1 + 2 + 3 = 854,

4x + 6 = 854,

4x = 854 - 6 = 848,

x = 848/4 = 212

The third number then should be 212 + 2 = 214

7 0
3 years ago
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