Applying the trigonometry ratio and rationalization, the missing lengths are:
1. x = 12/√3; y = 2√3
2. x = 5√2; y = 5√2
3. b = 24
4. 4√3
5. 5√3
<h3>What are the Trigonometry Ratio?</h3>
The trigonometry ratios are represented as follow:
- SOH is sin ∅ = opp/hyp
- CAH is cos ∅ = adj/hyp
- TOA is tan ∅ = opp/adj.
1. To find x, apply SOH:
opp = 6
hyp = x
adj = y
∅ = 60°
Equation:
sin 60 = 6/x
x = 6/sin 60
x = 6/√3/2 (sin 60 = √3/2)
x = 6 × 2/√3
x = 12/√3
Rationalize
x = 12/√3 × √3 /√3
x = 12√3/3
x = 4√3
To find y, apply TOA:
tan 60 = 6/y
y = 6/tan 60
y = 6/√3 (tan 60 = √3)
Rationalize
y = 6/√3 × √3 /√3
y = 6√3 / 3
y = 2√3
2. To find x, apply SOH:
opp = x
hyp = 10
adj = y
∅ = 45°
Equation:
sin 45 = x/10
x = (10)(sin 45)
x = 10 × 1/√2 (sin 45 = 1/√2)
x = 10/√2
Rationalize
x = 10/√2 × √2 /√2
x = 10√2/2
x = 5√2
To find y, apply CAH:
cos 45 = y/10
y = (10)(cos 45)
y = 10 × 1/√2 (cos 45 = 1/√2)
y = 10/√2
Rationalize
y = 10/√2 × √2 /√2
y = 10√2/2
y = 5√2
3. To find b, apply Pythagorean theorem:
b = √(25² - 7²)
b = 24
4. 12/√3
Rationalize
12/√3 × √3 /√3
12√3/3
4√3
5. 15/√3 × √3 /√3
15√3 /3
5√3
Learn more about trigonometry ratios on:
brainly.com/question/10417664
Five. nine thousand and sixteen
Answer:
y(x)=2x^3-6x^2+ax+b, a and b are constants
Step-by-step explanation:
d2y/dx2=12x-12, integrating both sides we get
dy/dx=6x^2-12x+a, where a is the integration constant.
Again integrating both sides, we get
y(x)=2x^3-6x^2+ax+b, where b is the integration constant
If this is about statistics then you were asked for a set of
parameters/statistic.
You could collect data values from the newspapers,
magazines, periodicals, recent or on the internet in various ways. You could
have examples like:
<span><span>
1.
</span>60% of the human body is composed of water
</span><span><span>2.
</span>The top 5 mental issues in women: depression, phobia
and anxiety, PTSD, suicide ideation and eating disorders</span>
<span><span>
3.
</span>There are 3 main parts of the brain. Forebrain,
midbrain and hindbrain</span>
<span><span>4.
</span>There are currently 19 births every 1000 people</span>
<span><span>
5.
</span>Mortality rate of 8 deaths/1000 people</span>
<span><span>
6.
</span>There are about 127.3 million people in Japan in
a 2013 survey.</span>
<span><span>
7.
</span>Japan’s GDP is 4.92 trillion.</span>
<span><span>
8.
</span>There are about 64.1 million people in UK (2013)</span>
<span><span>
9.
</span>Average expectancy in the UK is 81.50 years old.</span>
<span><span>
10.
</span>2.678 trillion USD is UK’s current GDP</span>
<span><span>11.
</span>South Korea’s average internet speed is 24.6
Mpbs</span>
<span><span>12.
</span>Apple has currently 2 types of iPhone 6</span>
<span><span>13.
</span>There are 3 founders of Apple</span>
<span><span>
14.
</span>There are at least 12 anxiety disorders in DSM 5</span>
<span><span>15.
</span>People suffering from Major Depressive disorders
are about 6.7% of the US population</span>
<span><span>16.
</span>17 years old is the average age of Britons loss
of virginity, mostly.</span>
<span><span>
17.
</span>There has been 158 movies released in 2013</span>
<span><span>
18.
</span>Facebook has 1.49 billion active users monthly</span>
<span><span>
19.
</span>There are 15 popular social networking sites</span>
<span><span>20.
</span>Introverts are about 60% in the US population</span>
<span><span>21.
</span>Whatsapp has a 417 million users globally</span>
<span><span>22.
</span>24 hours in a day</span>
<span><span>
23.
</span>There are currently 7 billion people</span>
<span><span>
24.
</span>There are at least 1 billion vehicles and cars
globally</span>
<span><span>25.
</span>There are at least 6 billion mobile phones</span>
Idk if this is what you're looking for but...
Wendy's desk is at (-3,0)
Abu's desk is at (2,0)
Trey's desk is at (0,-4)
The Manager's desk is at (0,0) also known as the origin
Abu's desk is closest to the manager's desk because his desk is only 2 paces away from the managers on the x line
