Answer:
y-intercept: (0, 5/2)
x-intercept: (5/3, 0)
Step-by-step explanation:
The y-intercept is found by setting x=0 and dividing by the coefficient of y.
0 +2y = 5
y = 5/2
The x-intercept is found by setting y=0 and dividing by the coefficient of x.
3x +0 = 5
x = 5/3
The intercepts are ...
y-intercept: (0, 5/2)
x-intercept: (5/3, 0)
Find the inertia tensor for an equilateral triangle in the xy plane. Take the mass of the triangle to be M and the length of a side of the triangle to be b. Express your answer below as pure numbers in units of Mb^2. Place the origin on the midpoint of one side and set the y-axis to be along the symmetry axis.
Answer:
181 mi^2
Step-by-step explanation:
Dimensions of large rectangle, on the left, are 6 mi by 8 m; area is 48 m^2;
Dimensions of small rectangle, in the middle of the diagram, are 4 mi by 5 mi, or 20 mi^2; area is 20 mi^2.
Dimensions of circle: r = 12 mi; area of quarter circle is (1/4)(3.14)(12 mi)^2, or 113 mi^2.
Total area is 113 mi^2 + 20 mi^2 + 48 mi^2, or 181 mi^2
Answer:
0.26
Step-by-step explanation:
A (x , y), radius of circle = 1
y/radius = y/1 = sin 15°
y = 0.26
