Answer:
PQ=20.7
OM=28
m<PMN=81 degrees
m<NOQ=22 degrees
Step-by-step explanation:
54% of what is 216...
0.54x = 216
x = 216 / 0.54
x = 400....so there were a total of 400 people surveyed
Answer:
see step-by-step
Step-by-step explanation:
It's not clear from your notation, so I will provide 2 answers.
3√(47x) = 24√(47)
3√(47)√x = 24√(47)
Divide both sides by √(47): 3√x = 24
Divide both sides by 3: √x = 8
Square both sides: x = 64
3√(47)x = 24√(47)
Divide both sides by √(47): 3x = 24
Divide both sides by 3: x = 8
Answer:
Step-by-step explanation:
-4,2
Answer:
If in rectangular coordinates we have a point (x, y), then the angle defined between the x-axis and a ray that connects the point with the origin is defined by:
Tan(θ) = y/x
Cos(θ) = x/(√(x^2 + y^2))
Sin(θ) = y/(√(x^2 + y^2))
Ctg(θ) = x/y
Sec(θ) = √(x^2 + y^2)/x
Csc(θ) = √(x^2 + y^2)/y
Ok, now we have all the equations.
We know that:
Sec(C) = 30/24
Then:
√(x^2 + y^2) = 30
x = 24
Replacing x in the first equation we get:
√(24^2 + y^2) = 30
y = √(30^2 - 24^2) = 18
Then we have:
x = 24
y = 18
√(x^2 + y^2) = 30
So we can just replace these in the equations:
Tan(C) = y/x = 18/24
Cos(C) = x/(√(x^2 + y^2)) = 24/30
Sin(C) = y/(√(x^2 + y^2)) = 18/30
Ctg(θ) = x/y = 24/18
Sec(θ) = √(x^2 + y^2)/x = 30/24
Csc(θ) = √(x^2 + y^2)/y = 30/18
