Since the question doesn't tell anything about the selected applicant must be 1 woman and 1 man, you can disregard the number of each gender.
Their chance would be :
14 !/100
= p²n - pnm is the answer
<em>Greetings from Brasil...</em>
Here we have supplementary angles, that is, the sum of both results in 180. Therefore,
A + B = 180 ⇔ ∠1 + ∠2 = 180
∠1 + ∠2 = 180 by defining supplementary angles
143 + ∠2 = 180
∠2 = 180 - 143
<h2>∠2 = 37°</h2>
Answer:
Step-by-step explanation:
The length PN is the diagonal of a rectangle that is 33 m by 60 m. Its length can be found from the Pythagorean theorem.
PN² = 33² +60² = 4689
PN = √4689 ≈ 68.476 . . . meters
Diagonal NS is the hypotenuse of triangle PNS. Once again, the Pythagorean theorem can be used to find its measure.
NS² = PN² +PS² = 4689 +1600 = 6289
NS = √6289
NS ≈ 79.3 . . . meters
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We have the side adjacent (PN) and the side opposite (PS) to angle PNS, so we can use the tangent function to find the angle:
tan(PNS) = NS/PN = 40/68.476
∠PNS = arctan(40/68.476)
∠PNS ≈ 30.3°
It's an isosceles triangle 45° - 45° - 90°, therefore y = 5.
In that triangle, sides are in proportion 1 : 1 : √2.
Therefore we have x = 5√2.
<h3>Answer: B. x = 5√2, y = 5</h3>
Other method.
You can use the Pythagorean theorem:
x² = 5² + 5²
x² = 25 + 25
x² = 2 · 25
x = √(25 · 2)
x = √25 · √2
x = 5√2
<h3>Answer: B. x = 5√2, y = 5</h3>