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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

You might be interested in
What is the median of 40,33,37,54,41,34,27,39,35
Sauron [17]

Answer:

It's 37

Step-by-step explanation:

The given data set is ;

40,33,37,54,41,34,27,39,35

We arrange the data set in ascending order to obtain;

{27,33,34,35,37,39,40,41,54}

The median is the middle number {37}

8 0
3 years ago
4 more than the quotient 12 and a number x
snow_tiger [21]

More than means to add.

Quotient means to divide.

4 + (12/x)

6 0
3 years ago
Order the fractions from least to greatest 6 3/4 6 1/2 6 5/6 6 3/8
Kay [80]

Answer:

[least] 6  3/8, 6  5/6,6  1/2, 6   3/4 [greatest]

Step-by-step explanation:

Common denominator- 48

27/4= 324/48

13/2=312/48

41/6=328/48

51/8=306/48

[least] 6  3/8, 6  5/6,6  1/2, 6   3/4 [greatest]

Hope this helps :D

6 0
3 years ago
A garage charges $24 an hour for labour. The garage charges Nigel $336 labour to replace the engine in his car. For how many hou
Lelechka [254]

Answer:

14 hours

Step-by-step explanation:

336/$24 = 14 hours

8 0
3 years ago
Read 2 more answers
I spent 3/4 of my money and then I spent 1/5 of what was left.
Monica [59]

Answers:

a) 4/5

b) 1/5

================================================

Let's say you start off with $100. If you spend 3/4 of that, then you spend 75 dollars (because 75/100 = 3/4). Think of it like 75 cents = 3 quarters. If you spend 75 dollars out of 100 total, then you have 100-75 = 25 dollars left after the first round of spending.

If you spend 1/5th of what is left, then you spend $5 on the second round leaving 25-5 = 20 dollars left at the end of the day.

Total up what you spend for both rounds: 75+5 = 80, which divides over the original amount 100 to get 80/100 = 8/10 = 4/5

If you had 20 dollars at he end of the day, out of 100 initially, then 20/100 = 2/10 = 1/5 is the fraction of what you have left.

note how 4/5 and 1/5 add to 5/5 = 1.00 = 100%. This is because the amount you spend and the amount you have left over must add to 100% of all the money you started with

6 0
3 years ago
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