Answer:
no ( 9,22) is not a solution to the system of inequalities but 22os to long to fit in the space
Step-by-step explanation:
i hope this is helpful.
The midpoints are (8,3) and (6.5,6).
<u>Step-by-step explanation</u>:
Midpoint formula = ((x1+x2)/2 , (y1+y2)/2)
(x1,y1) = (5,2)
(x2,y2) = (11,4)
Midpoint = ((5+11)/2 , (2+4)/2)
⇒ ((16/2) , (6/2))
⇒ (8,3)
(x1,y1) = (3,8)
(x2,y2) = (10,4)
Midpoint = ((3+10)/2 , (8+4)/2)
⇒ ((13/2) , (12/2))
⇒ (6.5,6)
Answer:
the number of revolutions of the rotor required to turn the probe through 44.1° about its central axis is approximately 117 revolution.
Step-by-step explanation:
From the conservation of angular momentum of the motor
Ip× theta p = Im × theta m
Where IP = 6.84 is the rotational inertia of the probe along it central axis
Theta p= 44.1°, Im = 7.17 ×10^-3 is the rotational inertia of the electric motor about it central axis.
Ip× theta p = Im × theta m
6.84 × 44.1 = 0.00717 × theta m
301.644 = 0.00717 × theta m
Theta m= 301.644 /0.00717
= 42,070.3°
Number of revolution =42,070.3°/360
= 117 revolution
Answer:
x=70
Step-by-step explanation:
If we extend the lines we can create an imaginary angle that is directly vertically opposite angle x (see picture for visualisation).
Then, using the rule that alternate interior angles are equal, we can deduct that this new angle is 30+40=70 degrees.
Finally, we know that vertically opposite angles are also equal meaning that x=70 degrees.
Hope this helped!
, that the ladder is making with the ground, we are going to use a trig function that relates the adjacent side of our angle with the hypotenuse. That trig function is Cosine. 
