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shusha [124]
2 years ago
6

People in Spaceland live in 8 space stations, and travel between the stations in tubes.Every pair of stations is connected by tw

o tubes. These are the only tubes inSpaceland. What is the total number of tubes?
Mathematics
2 answers:
Dima020 [189]2 years ago
6 0

Answer:

56

Step-by-step explanation:

NeTakaya2 years ago
3 0

Based on the way these stations are connected, we can infer that there are <u>56 tubes. </u>

<h3>Number of tubes in Spaceland </h3>

Each pair of stations have 2 tubes. This means that every station is connected to each of the others.

We can therefore infer that each station has 7 tubes to the other stations.

The total number of tubes would therefore be:

= Number of stations x Number of tubes per station

= 8 x 7

= 56 tubes

In conclusion, there are 56 tubes.

Find out more on proportionality problems at brainly.com/question/24822176.

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The difference between three times a number and seven is twenty. What is the number?
Mama L [17]

Answer:

9

Step-by-step explanation:

(9*3) = 27 which is 20 more than 7

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steven is makin burgers 1/3 of a pound each. if he has 6.02 pounds of meat how many burgers can he make
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Read 2 more answers
A ladder 16 feet long is leaning against the wall of a tall building. The base of the ladder is moving away from the wall at a r
svet-max [94.6K]

Answer:

a. 0.588

b. 0.0722

c. 4.576 sqft/sec

Step-by-step explanation:

Let b and h denote the base and height as indicated in the diagram. By pythagoras theorem, h^2 + b^2 = 16^2 = 256 \dotsc\;(1) because it is a right angle triangle.

It is given that \frac{db}{dt} = 1

Now differentiate (1) with respect to t (time) :

\displaystyle{2h\frac{dh}{dt} + 2b\frac{db}{dt} = 0 \implies \frac{dh}{dt} = -\frac{b}{h} \frac{db}{dt}}

\displaystyle{=-\frac{b}{\sqrt{256 - b^2}} \frac{db}{dt} = -\frac{8}{13.856} \times 1 = -0.588}

The minus sign indicates that the value of h is actually decreasing. The required answer is 0.588.

b. From the diagram, infer that 16 \sin{\theta} = b. When b = 8, then \theta = \arcsin{0.5} = \ang{30}.

Differentiate the above equation w.r.t t

\displaystyle{16 \cos{\theta} \frac{d\theta}{dt} = \frac{db}{dt} \implies \frac{d\theta}{dt} = \frac{1}{16 \cos{\theta}} = \frac{1}{13.856} = \mathbf{0.0722}}

c. The area of the triangle is given by A = 0.5\times h \times b. Differentiating w.r.t t,

\displatstyle{\frac{dA}{dt} = 0.5 b \frac{dh}{dt} + 0.5 h \frac{db}{dt}}

Plugging in b = 8, h = 13.856, \frac{dh}{dt} = -0.588,

\frac{dA}{dt} = -2.352 + 6.928 = \mathbf{4.576 ft^2/sec}

8 0
3 years ago
The points (0,0), (3,8) and (9,24) are on the graph of a proportional relationship. Determine a fourth point that belongs on the
Alex73 [517]

Answer:

(6, 16)

Step-by-step explanation:

This is a linear graph with equation y=8/3x

Just plug in any value of x to get another value of y

Look at the two graphs below

The equation y=8/3 contains the given points (0,0), (3,8), and (9,24) All you need to do is select another point on that line

7 0
3 years ago
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