The diagonal of length 2r forms the hypotenuse of a right angled triangle with one leg ( the width of the rectangle) = x. So by Pythagoras:-
(2r)^2 = h^2 + x^2 where h = height of the rectangle
h^2 = 4r^2 - x^2
h = √ (4r^2 - x^2) answer
In form
ax+by=c
slope=-a/b
a=T
b=12
slopt=-10
-10=-T/12
multiply both sides by 12
-120=-T
mulitply -1
120=t
T=120
Answer:
The Terry's resultant speed is 27mi/h
Direction of ferry=20°
Step-by-step explanation:
(-25,0) + ( 0, 9)= (-25, -9) is the vector representing the movement of the ferry
Speed of ferry = sqrt[(-25)^2 + (-9)^2]
Speed= sqrt (-625 + (-81))
Speed= sqrt(-706)
Speed=26.57mi/h
Nearest tenth,speed= 27mi/h
Tanz° = (-9/-25)
Tanz°= 0.36
Z°= tan^-1 0.36
Z= 19.80°
Nearest tenth,z=20°
X<span> 3</span><span> + 3x</span><span> 2</span><span> + 9x + 27 R88 is the answer</span>