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Dafna1 [17]
3 years ago
9

The nba regulations require the basketball court to be 132 feet long. How many meters is length of the Court.??? Thank you!!!

Mathematics
1 answer:
Natalija [7]3 years ago
6 0

Answer:

40.23 meters (rounded to 2 decimal places)

Step-by-step explanation:

We need to convert 132 feet to meters by using the conversion factor shown below:

1 feet = 0.3048 meters

Now we can setup a ratio to solve for the length of basketball court in meters (let it be x). Shown below:

\frac{1}{0.3048}=\frac{132}{x}\\x=132*0.3048\\x=40.2336

Thus, length of basketball court (in m) = 40.23 meters (rounded to 2 decimal places)

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Johnny printed two maps of a walking trail near his home. The length of the walking trail on the first map is 8 cm.

(a) Choose a length between 5 cm and 15 cm for the walking trail on the second map: ________cm.  

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(d) See attachment for triangle

Step-by-step explanation:

(a) Choose a length between 5 cm and 15 cm

Length =4cm <em>--- This is solely up to you (you can make use of any length between 5 cm and 15 cm)</em>

(b) The scale factor

The scale factor (k) is calculated as:

k = \frac{New\ Length}{Old\ Length}

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k = 0.5

(c) What are side lengths of 3 cm, 4 cm, and 5 cm on the second landmark

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k = \frac{New\ Length}{Old\ Length}

The old lengths, in this case are: 3cm, 4cm and 5cm

Make New length the subject

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When Length = 3cm

New\ Length = 0.5 * 3cm = 1.5cm

When Length = 4cm

New\ Length = 0.5 * 4cm = 2cm

When Length = 5cm

New\ Length = 0.5 * 5cm = 2.5cm

So: 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale

(d) See attachment for triangle

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