Given:
Rectangular coordinate = (8, 6)
To convert:
Rectangular coordinate to polar coordinate with r > 0 and 0 ≤ θ < 2π.
Solution:
Let us find r:
r = 10
Now, find θ:
Cancel the common factor 2.
θ = 36.87°
The polar coordinates are (r, θ) = (10, 36.87°).
Answer:
Rob owes his father=-$15-$3= -$18
Step-by-step explanation:
Rob borrows $15 first and then $3.
Since we have to use negative integers, so
-$15-$3= -$18
Let
x = measure of the angle
y = measure of the supplement
By definition of supplementary, the two angles add to 180 degrees, so
x+y = 180
This is the first equation.
The second equation is y = 3x-16 since we're given the info that "the supplement is 16 degrees less than three times the angle"
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The system of equations is
x+y = 180
y = 3x-16
Focus on the first equation x+y = 180, plug in y = 3x-16, and solve for x
x+y = 180
x+3x-16 = 180 ... y is replaced with 3x-16
4x-16 = 180
4x-16+16 = 180+16
4x = 196
4x/4 = 196/4
x = 49
Because x = 49, we can use this to find y
y = 3x-16
y = 3*49-16
y = 147 - 16
y = 131
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Final Answers:
The measure of the angle is 49 degrees
The measure of the supplement is 131 degrees
Answer:
218 feet per minute
Step-by-step explanation:
To find this, first subtract the initial amount (20) from the depth he soon reaches (3290). This will leave you with the amount of 3270 which is the distance the pilot whale went.
To find the feet per minute, divide by new depth by 15 in order to get the final answer of 218 feet per minute.
Hope this helps!
Answer:
27 of the pets are dogs.
Step-by-step explanation:
Real easy way to do this, treat 45 (the total) as 100. So, do 45/100 then multiply the result of that by 60, and you end up with 27.
45/100=0.45
0.45*60=27
