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densk [106]
3 years ago
12

If p is inversely proportional to the square of q, and p is 16 when q is 11, determine p

Mathematics
2 answers:
user100 [1]3 years ago
8 0

Answer:

p= 121

Step-by-step explanation:

p\alpha \frac{1}{q^{2} }

p=k/q^{2}

k=pq^{2}

Get the value of your constant k

k=(16)(11^{2})

k= 1936

p= \frac{1936}{q^{2} }

When q=4

p=  \frac{1936}{4^{2} }

p= 121

Blizzard [7]3 years ago
5 0

Answer:

p = 121

Step-by-step explanation:

inveresly proportional

pq² = k

find k the constant of proportionality

p is 16 when q is 11,

16 * 11² = k

k = 1,936

----------------------------

pq² = 1,936

determine p when q is equal to 4.

p * 4² = 1,936

16p = 1,936

p = 1,936/16

p = 121

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Step-by-step explanation:

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You start driving north for 12 miles, turn right, and drive east for another 16 miles. How many miles must you travel to return
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Step-by-step explanation:

The driver has driven in the form of two legs on a right-angled triangle where the vertical side (perpendicular) is 12 miles and the horizontal side (base) is 16 miles.

Now as the driver has to return back to the starting point directly, it will form a right-angled triangle making the direct path a hypotenuse

So,

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The driver has to drive 20 miles to come back to the starting point directly

Keywords: Pythagoras theorem, Right angled triangle

Learn more about Pythagoras theorem at:

  • brainly.com/question/750742
  • brainly.com/question/7419893

#LearnwithBrainly

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