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Answer:
7 pots of coffee (If you want to be precise its 6 2/3)
Step-by-step explanation:
So basically you need 10 cups of coffe in fifteen minutes, so 60/15=4 then time 10. so 40 is how much coffee you need in a hour, but we are solving the pot so 40/6= 6 2/3. but it says how many pots so we round it up so its 7. (Unless you wanna be precise)
Answer: (7n - 2)² = 249
Explanation:
1) Given expression: 7n² - 4n - 14 = 21
2) Transpose - 14 =>
7n² - 4n = 21 + 14
3) Combine like terms =>
7n² - 4n = 35
4) multiply both terms by 7 =>
(7n)² - 4(7n) = 35×7
5) form the squared binomial:
(7n - 2)² - 4 = 35×7
6) Transpose - 4 =>
(7n - 2)² = 35×7 + 4
7) Do the operations on the right side:
(7n - 2)² = 249 or (7n - 2)² - 249 = 0
8) Verify the equivalence by expanding the binomial:
(7n)² - 2(7n) + 4 - 249 = 0
(7n)² - 14n - 245 = 0
Divide by 7: 7n² - 2n - 35 = 0 or 7n² - 2n = 35, which is equivalent to the given expression.
Answer:
Step-by-step explanation:
<h3>QUESTION-2:</h3>
we are given a right angle triangle
it's a 30-60-90 triangle of which FH is the shortest side
remember that,in case of 30-60-90 triangle the the longest side is twice as much as the shortest side thus
our equation is
divide both sides by 2
<h3>Question-1:</h3>
in order to figure out GH we can use Trigonometry because the given triangle is a right angle triangle
as we want to figure out GH we'll use sin function
remember that,
let our opp, hypo and 
be GH, 4√10 and 60° respectively
thus substitute:
recall unit circle:
cross multiplication:
simplify multiplication:
divide both sides by 2:
<h3>QUESTION-3:</h3>
Recall that, the sum of the interior angles of a triangle is 180°
therefore,
simplify addition:
cancel 150° from both sides
