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Vladimir79 [104]
3 years ago
6

Twenty-five lamps are placed around a circle-shaped garden. How many straight lines could be found if each lamp is connected to

all the rest ?
Mathematics
1 answer:
astraxan [27]3 years ago
8 0

Answer:

300

Step-by-step explanation:

every lamp can connect other lamps ,from the first ,it can connect the other 24 lamps,and then, the second ,can also connect other 24 。but the line between the first and the second is counted twice。

so it would be:

(1+2+3+...+24)×24÷2=300

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Solve each system of equations using substitution. x×y=5 4+y=-x​
valina [46]

Answer:

Step-by-step explanation:

\left \{ {{xy=5} \atop {4+y=-x}} \right.\\\\ \left \{ {{xy=5} \atop {x=-4-y}} \right.\\\\=> \left \{ {{(-4-y)y=5} \atop {x=-4-y}} \right.   \\\\ \left \{ {{-y^{2}-4y =5} \atop {x=-4-y}} \right. \\\\ \left \{ {{y^{2}+4y+5 =0} \atop {x=-4-y}} \right.

because y² + 4y + 5 = (y+2)² + 1 > 0, ∀ y ∈ R

=> y² + 4y + 5 = 0 is unreasonable

=> no solutions

8 0
3 years ago
on a floor plan, a room measures 2 inches by 5 inches. if the scale is 1 inch = 4 feet, what is the actual size of the room?
Ira Lisetskai [31]
The actual size of the room is 8 feet by 20 feet.

4 0
4 years ago
A person's home to work commute on a wintery morning involves traveling on Highway A, Highway B, and then Highway C. The person
SVEN [57.7K]

Answer:

Probability = 0.35

Step-by-step explanation:

Given :-

  • Probability (Highway A Icy) = 0.1
  • Probability (Highway B Icy) = 0.15
  • Probability (Highway C icy) = 0.15

So :-

  • Probability (Highway A not icy) = 1 - 0.1 = 0.9
  • Probability (Highway B not icy) = 1 - 0.15 = 0.85
  • Probability (Highway C not icy) = 1 - 0.15 = 0.85

Probability of person not getting to work timely

=  Probability [Even one of the highway A, B or C is icy]

= 1 - Probability [None of Highway A, B, C is icy]

Since these are independent events, So :-

= Prob. [Highway A not icy & Highway B not icy & Highway C not icy]

= 1 - ( 0.9 x 0.85 x 0.85)

= 1 - 0.65

= 0.35

5 0
3 years ago
Pls help <br><br> Find the value of x
tatiyna
X= 6.08 cm. i attached how to work out the problem.

5 0
3 years ago
Which expression shows the result of applying the distributive property to -2(1/3x - 1/5) ?
Alexeev081 [22]

Answer:

A. -2/3x - 2/5

Step-by-step explanation:

-2 x 1/3x = -2/3x

-2 x 1/5 = 2/5

-2/3x - 2/5

7 0
4 years ago
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