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Rama09 [41]
3 years ago
5

R=8cos(theta)-10sin(theta) to cartesian coordinates

Mathematics
1 answer:
dsp733 years ago
8 0
Convert polar equation (R, Ф):

(1) R= 8cos Ф - 10sin Ф into Cartesian (x , y)
We know that:
x = R.cos Ф  → cos Ф = x/R , and
y = R.sin Ф →  sin Ф = y/R
and that x² +y² = R²

Replace in 
R= 8cos Ф - 10sin Ф , cos Ф and sin Ф by the related x and y:

R = 8(x/R) - 10(y/R)
Multiply both sides by R:

R² = 8R(x/R) - 10R(y/r) ↔ R² = 8x - 10y , but we have also R² = x² + y². hence: 8x -10y = x² + y²
OR x² + y² - 8x + 10y = 0
We can continue in completing th squares of (x² - 8x + ?) and (y² +10y + ?)

(x² - 8x + ?) = (x - 4)² - 16

and  (y² +10y + ?) = (y +5)² - 25
Final Equation:
(x - 4)² - 16 + (y +5)² - 25 →→→(x - 4)² + (y +5)² = 41 
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earnstyle [38]

Answer:

3.14 \times 10 ^{3}  < 2.6 \times 10^{3}

Step-by-step explanation:

3.14 \times 10 ^{3}

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7 0
2 years ago
How to multiply how far would a car go if it travels at 50 km an hour for 3 hours?
ale4655 [162]
1 hour = 50 km
3 hours = 50 x 3 = 150 km

Answer: The car would go for 150 km in 3 hours.
8 0
3 years ago
HELP HELP !!!! PLEASE I NEED HELP WITH THIS PROBLEM !!!
Vesnalui [34]
This one is best done by elimination:

We need to start 4 meters away, so B is clearly wrong. 

We first move towards Mr. Wilson (i.e. distance is decreasing) so A is wrong.

Our speed is faster on the way back, so the two sloped section must have differing slopes, so D is wrong.
(D also doesn't start at 4, it's wrong for two reasons.)

Only C is left.

We can check each part to make sure. First we start at 4m, then move away, then stay still (zero slope) for three seconds, then move back faster (higher slope). All parts check out ok. 
3 0
3 years ago
Read 2 more answers
Is this correct ? if not what’s the correct answer?
lara [203]
Yes this is correct because that angle in is with the other angles to
5 0
2 years ago
Read 2 more answers
39 is the percent of 12.5
Rashid [163]
You mean '39 is what percent of 12.5 ?'

So, the answer is

39/12.5 × 100
= 3.12 × 100
= 312%

So, 39 is 312% of 12.5.

(The percentage is greater because 39 is greater than 12.5)
7 0
3 years ago
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