All angles in a triangle add up to 180°
So add the other two angles
90+35=125
Subtract the sum from 180
180-125=55
Angle b is 55°
Answer:
Step-by-step explanation:
Answer:
Equation is x^2/576+y^2/400=1
Vertical height is 19.84inches
Step-by-step explanation:
The equation of an ellipse with horizontal major axis with center at (0,0) is x^2/a^2+y^2/b^2=1
From the question, a=24 and b=20
Therefore the equation of the ellipse = x^2/24^2+y^2/20^2=1
= x^2/576+y^2/400=1
To calculate vertical height y:
y^2/400=1- x^2/576
y^2=(1- x^2/576)*400
y=20√(1- x^2/576)
At x=3 inches from the centre
y=20√1-0.0156
y=20*0.9922
y=19.84inches
It fills the cylinder up to 10 cm.
The volume of a cylinder is given by the formula
V = πr²h, where r is the radius of the base and h is the height of the cylinder.
The volume of a cone is given by the formula
V = 1/3πr²h, where r is the radius of the base and h is the height of the cylinder.
Since the base of the flask and the cylinder are the same, this means r is the same number in both formulas.
Since the height of the flask and the cylinder are the same, this means h is the same number in both formulas.
This means that the only difference in the formulas is that the formula for the cone flask is 1/3 the formula for the cylinder.
The water that fills the cone flask will fill 1/3 of the cylinder; 1/3(30) = 10
