Answer:
Step-by-step explanation:
t=(-2.74 + sqrt(2.74^(2)-4*-4.9*(-10))) / -2*-4.9
t=(-2.74 + sqrt(7.5076-4*+49))/9.8
t=(-2.74 + sqrt(7.5076+45))/9.8
t=(-2.74 + sqrt(52.5076))/9.8
t=(-2.74/9.8)+(sqrt(52.5076))/9.8
this is simplest form, next will be rounded answers
t=0.45981763305
66.5cm
Split the shape into a square and triangle and find the area separately
Square: 8*7=57
Triangle: 7*3/2 = 10.5
=66.5
The area of an equilateral triangle of side "s" is s^2*sqrt(3)/4. So the volume of the slices in your problem is
(x - x^2)^2 * sqrt(3)/4.
Integrating from x = 0 to x = 1, we have
[(1/3)x^3 - (1/2)x^4 + (1/5)x^5]*sqrt(3)/4
= (1/30)*sqrt(3)/4 = sqrt(3)/120 = about 0.0144.
Since this seems quite small, it makes sense to ask what the base area might be...integral from 0 to 1 of (x - x^2) dx = (1/2) - (1/3) = 1/6. Yes, OK, the max height of the triangles occurs where x - x^2 = 1/4, and most of the triangles are quite a bit shorter...
Answer:
1/6
Step-by-step explanation:
gradient= change in y/ change in x
-4--5/2--4= 1/6
1/6 is the gradient
Answer:
y = mx+b is the equation for slope-intercept form
Step-by-step explanation:
m=slope
x=independent variable
y= y-intercept
