
We have to find out the value of the fraction.
<u>Let us assume that:</u>

<u>We can also write it as:</u>




<u>Comparing </u>the given <u>equation</u> with <u>ax² + bx + c = 0,</u> we get:

<u>By quadratic formula:</u>







<u>But </u><u>"</u><u>x"</u><u> cannot be negative. Therefore:</u>

So, the value of the fraction is 1 + √2.
Answer:
$10.52
Step-by-step explanation:
(1137.45 x 14.7%) / 12 - (1137.45 x 3.6%) /12 = 10.52
Answer: Saturday
Step-by-step explanation:
Saturday is at the highest point meaning it has less empty tables
The answer:
8 times
Explanation:
If you divide 168 by 20, you get 8.4, and the whole number is 8 so that’s the answer.
9514 1404 393
Answer:
(b) 15.32
Step-by-step explanation:
You can use your triangle sense to answer this.
The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.
If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.
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The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(50°) = x/20
x = 20×sin(50°) . . . . multiply by 20 to find x
x ≈ 15.32 . . . . . . . . . use your calculator to evaluate
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The attachment is intended to show how the triangle side lengths change with angle.