Answer:
24
Step-by-step explanation:
Answer:
Stephanie ran the fastest at 15 feet per second
Step-by-step explanation:
Frank ran the second fastest at 13.2 feet per second because it took him 60 seconds to run 792 feet, and 792/60 = 13.2
Debbie ran the third fastest at 12.08 feet per second because it took her 23 seconds to run 278 feet, and 278/23=12.086
Noah gets last place because it took him 551 seconds to run a mile, or 5280 feet, and 5280/551=9.58 feet per second
Step-by-step explanation:
<h2><u>Given :-</u></h2>
(√3-√2)/(√3+√2)
<h2><u>To find :-</u></h2>
Rationalised form = ?
<h2><u>Solution:-</u></h2>
Given that
(√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
Hence, the denominator is rationalised.
<h2>
<u>Answer</u><u>:</u></h2>
Rationalised form of (√3-√2)/(√3+√2) is 5 - 2√6.
<h2><u>U</u><u>sed </u><u>formulae:</u><u>-</u></h2>
- (a+b)(a-b) = a²-b²
- (a-b)² = a²-2ab+b²
- The Rationalising factor of √3+√2 is √3-√2
Answer:
12x-8y
Step-by-step explanation:
add 10x and 2x, this gets 12x, and add -5y with -3y, which gives you -8y. Add both of these values together and you get 12x-8y
Answer:
total population after a year ≅ 452525
Step-by-step explanation:
Population of wild turkey after a year = 1.4 x 121212 = 169696.8
Population of white-tail deer after a year = 181818 + 101010 = 282828
Hence total population after a year = 169696.8 + 282828 = 452524.8 ≅ 452525
