Answer:
119.05°
Step-by-step explanation:
In general, the angle is given by ...
θ = arctan(y/x)
Here, that becomes ...
θ = arctan(9/-5) ≈ 119.05°
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<em>Comment on using a calculator</em>
If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.
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It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...
Tan = Opposite/Adjacent = |y|/|x|
This is the tangent of the reference angle, which will be ...
θ = arctan(|y| / |x|) = arctan(9/5) ≈ 60.95°
You can see from your diagram that the angle CCW from the +x axis will be the supplement of this value, 180° -60.95° = 119.05°.
A = π(r²) --- r is radius
C = πd --- d is diameter
First, the circumference must be found. If the circumference is 15.7, plug it in.
15.7 = πd
We know what pi is.
15.7 = 3.14 (d)
Now, simply divide 3.14 by 15.7 to find the diameter (d). You get 5. Since the radius is half of the diameter, the radius is 2.5. Plug this into the area formula, and plug pi in, too.
A = 3.14(2.5²)
2.5 to the second power is 6.25.
A = 3.14(6.25)
Tada! Multiply, and you're left with 19.625!
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Answer:
a. 90
b. 360
Step-by-step explanation:
The time taken by humming bird to flap its wings= 0.08 sec
by flying 7.2 seconds a typical giant hummingbird flap its wings 
times
= 90 times
Since, A ruby-throated hummingbird can flap its wings 4 times faster than a giant hummingbird, it will flap its wings in every 0.02 sec
so in 7.2 seconds it will flap 
times = 360 times
Answer: hello your question is incomplete below is the missing part
Determine the proportion of radishes grown without fertilizers with weight less than 50grams
answer : p( x < 50 ) = 0.84
Step-by-step explanation:
Radish grown in without fertilizers ( normally distributed )
mean = 40 g
standard deviation = 10 g
Radish grown with fertilizers ( normally distributed )
Mean = 140 g
standard deviation = 40 g
<u>Determine the proportion of radishes grown without fertilizers with weight less than 50 grams </u>
lets assume x = radish without fertilizers
y = radish with fertilizers
hence
p( x < 50 ) = P ( (x-μ / б) < 
)
= p ( z < 1 ) = 0.5 + p ( 0 < z < 1 )
p( x < 50 ) = 0.5 + 0.3413 = 0.8413
attached below is the distribution related to this solution
Answer:
4096
Step-by-step explanation:
