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lubasha [3.4K]
2 years ago
5

A ladder which is 6.7 m long is placed on the ground 2.8 m from a vertical wall and then leaned over to the wall. How high up th

e wall can the ladder reach? Give your answer rounded to 1 DP.
Mathematics
1 answer:
timofeeve [1]2 years ago
8 0

Answer:

6.1 m

Step-by-step explanation:

Always draw a diagram! And now pythagorean theorem. a^2 + b^2 = c^2

Substitution:

a^2 + 2.8^2 = 6.7^2

a^2 + 7.84 = 44.89

a^2 = 37.05

a = 6.086...

Rounding <u>up</u> to one decimal point, thats 6.1 m

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Should I divide or multiply?
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Answer:

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Step-by-step explanation:

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7 0
2 years ago
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Daniel says that when the irrational number 7√3 is multiplied by any rational number, the product is always an irrational number
jeka94

Answer: 0

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

Explanation:

When we multiply 0 by any number, we get 0 as a result

x*0 = 0

0*x = 0

for any number x.

The number 0 is rational since we can write it as a fraction of two integers

0 = 0/1

If Daniel were to correct his statement to say "multiply by any <u>nonzero</u> rational number", then his statement would be correct that the result is irrational.

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

Extra info:

Here's a proof showing why Daniel's claim is correct if we consider nonzero rational numbers

Let p be a nonzero rational number, so p = a/b for integers a,b where neither a or b are zero

Let q be an irrational number. We cannot write q as a ratio of two integers

The claim is that p*q is irrational. For now let's assume the opposite. So assume p*q is rational. This means p*q = r/s for integers r,s

This would be the same as (a/b)*q = r/s which solves to q = (r/s)*(b/a) = (rb)/(sa) making q rational, but that contradicts the fact we made q irrational earlier.

Therefore, the assumption p*q is rational cannot be the case, and p*q must be irrational.

7 0
3 years ago
Jerry wants to buy a hockey jersey the cost of the Jersey is normally $75, but it is now on sale 20% off.
77julia77 [94]
75 x .20 = 15
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8 0
3 years ago
Jamal simplified ...
brilliants [131]
\bf \sqrt{75x^5y^8}\qquad &#10;\begin{cases}&#10;75=3\cdot 25\\&#10;\qquad 3\cdot 5^2\\&#10;x^5=x^{4+1}\\&#10;\qquad x^4x^1\\&#10;\qquad (x^2)^2x\\&#10;y^8=y^{4\cdot 2}\\&#10;\qquad (y^4)^2&#10;\end{cases}\implies \sqrt{3\cdot 5^2\cdot (x^2)^2x(y^4)^2}&#10;\\\\\\&#10;5x^2y^4\sqrt{3x}
4 0
3 years ago
Hi if u could help me that would be great, have a nice day!!!
LenaWriter [7]

Hey there! I'm happy to help!

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

<u>OVERVIEW</u>

Random sampling is when you take a sample of something completely at random. This is done to avoid bias and other stuff like that. It makes the data a lot more pure, real, and factual.

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

<u>CHOOSING THE ANSWER</u>

OPTION A: A SCHOOL NEWSPAPER ASKS TEACHERS IN THAT MIDDLE SCHOOL HOW THEY FEEL ABOUT THE BEHAVIOR OF TWELVE YEAR OLD BOYS.

Does this seem very random to you? They're asking all the teachers who work at a certain junior high to talk about twelve year old boys. But, the teachers are definitely going to have some sort of bias towards twelve year old boys because they work with them, and since all of the samples are teachers, this is going to have biased data. Therefore, answer A is incorrect.

OPTION B: A NATIONAL SURVEY COMPANY PICKS ONE PHONE NUMBER FROM EACH AREA CODE IN AMERICA TO CALL AND ASK FOR AN OPINION ON CURRENT POLITICAL ISSUES.

This definitely seems a lot more random. There is only one phone number from each area code and there are many area codes in the United States so you get a bit of what everyone thinks about an issue. There is no bias because there is one random phone number and there are many different places this is done. Therefore, option B is correct.

OPTION C: MIGRANT WORKERS ARE SURVEYED ON THEIR OPINION OF MANDATORY HEALTH INSURANCE FOR COMPANIES.

This is not very random because they are asking a specific group of workers about a company and business ordeal. It is not very random because the migrant workers are specifically being asked, not random people. Therefore, option C is incorrect.

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

<u>THE SOLUTION</u>

Therefore, Option B is the correct answer.

I hope that this helps! Have a wonderful day!

7 0
3 years ago
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