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german
3 years ago
5

Using PYTHAGORAS THEOREM answer the question A vertical pillar ab bent at c at a height of 2.4m and its upper end b touches the

ground at d at a distance of 1.8m from the end a on the ground find the height of the pillar ab
Mathematics
1 answer:
Alisiya [41]3 years ago
7 0

Answer:

  5.4 m

Step-by-step explanation:

The Pythagorean theorem tells you the relationship between the various lengths is ...

  cd² = ac² +ad²

  cd² = (2.4 m)² + (1.8 m)² = 9.00 m²

  cd = √(9.00 m²) = 3.0 m

Since cd = cb and ab = ac+cb, we have ...

  ab = 2.4 m + 3.0 m = 5.4 m

_____

You may recognize this as a 3-4-5 right triangle with a scale factor of 0.6. We are asked for the sum of the lengths of the "4" and "5" legs, which is ...

  0.6·(4+5) = 5.4

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Sladkaya [172]

Option A: The sum for the infinite geometric series does not exist

Explanation:

The given series is 2+6+18+54+.......

We need to determine the sum for the infinite geometric series.

<u>Common ratio:</u>

The common difference for the given infinite series is given by

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Thus, the common difference is r=3

<u>Sum of the infinite series:</u>

The sum of the infinite series can be determined using the formula,

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Since, the value of r is 3 and the value of r does not lie in the limit 0

Hence, the sum for the given infinite geometric series does not exist.

Therefore, Option A is the correct answer.

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3 years ago
There are 196 countries in the world. How many students must be enrolled in a university to guarantee that there are at least 20
cestrela7 [59]

Answer:

At least 39200 students.

Step-by-step explanation:

Given that there are 196 countries in the world, and each country would have at least 200 students in a university.

For each country to have at least 200 students in the university, then;

Number of students enrolled in the university = number of required students x number of countries

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At least, 39200 students must be enrolled in the university. Provided that the admission procedures are conditioned for the purpose.

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