Answer:
6) 60°
7) 24.25°
8) 28°
Step-by-step explanation:
I’m not 100% sure but hope this helps.
Step-by-step explanation:
<h3><u>Given</u><u>:</u><u>-</u></h3>
(√3+√2)/(√3-√2)
<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>
<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>
<h3><u>Solution</u><u>:</u><u>-</u></h3>
We have,
(√3+√2)/(√3-√2)
The denominator = √3-√2
The Rationalising factor of √3-√2 is √3+√2
On Rationalising the denominator then
=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]
=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]
=>(√3+√2)²/[(√3-√2)(√3+√2)]
=> (√3+√2)²/[(√3)²-(√2)²]
Since (a+b)(a-b) = a²-b²
Where , a = √3 and b = √2
=> (√3+√2)²/(3-2)
=> (√3-√2)²/1
=> (√3+√2)²
=> (√3)²+2(√3)(√2)+(√2)²
Since , (a+b)² = a²+2ab+b²
Where , a = √3 and b = √2
=> 3+2√6+2
=> 5+2√6
<h3><u>Answer:-</u></h3>
The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.
<h3>
<u>Used formulae:-</u></h3>
→ (a+b)² = a²+2ab+b²
→ (a-b)² = a²-2ab+b²
→ (a+b)(a-b) = a²-b²
→ The Rationalising factor of √a-√b is √a+√b
14 3/8 pounds because 5 3/4 * 2 1/2 = 14 3/8
<span>The basic formula is r * w * t = q
r = quantity of output produced per worker per unit of time.
w = number of workers.
t = time
q = quantity of output produced.
you can solve this formula for w to get:
w = q / (r * t)
if the quantity of work increases by 60%, then you get 1.6 * q and the formula for w becomes:
w = (1.6 * q) / (r * t)
a 60% increase in the quantity of would result in a 60% increase in the number of workers required, assuming the amount of time available was the same.
not assume that each worker can produce 25% more output per unit time.
then you get 1.25 * r and the formula for w becomes:
w = (1.6 * q) / (1.25 * r * t)
this formula can also be written as (1.6/1.25) * (q/(r*t)).
this results in 1.28 * (q/(r*t)) which can also be written as (1.28 * q) / (r*t)
this says that the 60% increase in the quantity of work produced can be handled with a 28% increase in the number of workers required, assuming the amount of time available is the same, and assuming that the productivity of each worker has increased by 25%.
</span><span>The number of workers must be increased by 28%.</span>
Answer:
-60
Step-by-step explanation:
If the worker is descending, he is going down. The change in his position could be marked on a graph by translating the original point down by 60 units. Aka -60 units.