Answer:
11-6√3 = a -b√3
where a=11 and b =6
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given
Rationalize
= 
= 
= 
= 
<u><em>Step(ii):-</em></u>
<em>Multiply</em>
<em> </em>
= 5 × 7 - 5×4√3 + 2√3 ×7 - 2√3 × 4√3
= 35 -20√3+ 14√3-8×3
= 35 - 6√3 -24
= 11-6√3
10 + 20 = 30 total balls.
Picking red = 10/30 = 1/3
After picking one ball there are 29 balls left.
Picking a yellow next is 20/29
Then there are 28 balls left and 19 yellow left, so picking another yellow would be 19/28
The probability of picking red first then two yellow = 1/3 x 20/29 x 19/28 = 95/609
Recall that
(x + y)² = x² + 2xy + y²
Then if x + y = √7 and x² + y² = 6, we have
(√7)² = 6 + 2xy ⇒ 2xy = 1
We also have
(x - y)² = x² - 2xy + y²
so that
(x - y)² = 6 - 1 ⇒ (x - y)² = 5
which means x - y has two possible values, √5 or -√5.
Answer:
Step-by-step explanation:
V = 30 and Ab = 6 into our height formula, and simplify as follows: h = V / Ab = 30 / 6 = 5.
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