First, find the area of the base (the triangle) and then multiply it by the height
to find the area of the triangle you need to know the height. cut the triangle in half and you get a right triangle, from there you can use the Pythagorean theorem. remember since you cut the triangle in half you have to divide one of the sides by 2
a^2 + b^2 = c^2 (plug in known information)
a^2 + (7.5)^2 = (15)^2 (solve, first solve the exponents)
a^2 + 56.25 = 225 (subtract 56.25 on both sides)
a^2 = 168.75 (solve for a, put 168.75 under the square root)
then once you find the area multiply by the known height
1- 2.5 seconds
2- 1.25 seconds
3- 3.75 seconds
Answer:
3 - 6 = -3(1 - 0)
Step-by-step explanation:
To write an equation of point-slope from two points, first you need the slope.
To find slope, find the change in y over the change in x.
- (0,6) y = 6 and x = 0
- (1,3) y = 3 and x = 1
The change in y over change is x means (y2 - y1) / (x2 - x1)
change in y: -3
change in x: 1
slope = -3/1 or -3
Now that we have slope we can start the point-slope equation.
Point-slope equation: y2 - y1 = m(x2 -x1)
[<em>m</em><em> </em>means slope]
Finally, the point slope equation for these points is: 3 - 6 = -3(1 - 0)
Volume of cone = pi r^2 (h)/3
= 3.14 x 3^2 x (16)/3
= 3.14 x 3^2 x 5.3
= 3.14 x 9 x 5.3
= 28.26 x 5.3
= 150.8 units^3