Answer:
7.41
Step-by-step explanation:
Vertical component:
S = 268.8
U = 0
V =?
A = 9.8
T=?
S = ut + 0.5at^2. u = 0
268.8 = 0.5x9. 8xt^2
T = 7.41 seconds
Multiply the original DE by xy:
xy2(1+x2y4+1−−−−−−−√)dx+2x2ydy=0(1)
Let v=xy2, so that dv=y2dx+2xydy. Then (1) becomes
x(y2dx+2xydy)+xy2x2y4+1−−−−−−−√dxxdv+vv2+1−−−−−√dx=0=0
This final equation is easily recognized as separable:
dxxln|x|+CKxvKx2y2−1K2x4y4−2Kx2y2y2=−dvvv2+1−−−−−√=ln∣∣∣v2+1−−−−−√+1v∣∣∣=v2+1−−−−−√+1=x2y4+1−−−−−−−√=x2y4=2KK2x2−1integrate both sides
Answer:
SA = 4.91 in²
Step-by-step explanation:
A ball is a sphere, and the surface area of a sphere is

If our diameter is 1.25, the radius is half of that at r = .625
Filling in, we have
SA = 4(3.14)(.625)² and
SA = 4(3.14)(.390625) so
SA = 4.91 in²
Answer:
(B)24 Units
Step-by-step explanation:
Triangle MNO is an equilateral triangle with sides measuring
units.
The height divides the base into two equal parts of lengths
units.
As seen in the diagram, we have a right triangle where the:
- Hypotenuse =
units. - Base =
units.
Using Pythagoras Theorem

The height of the triangle is 24 Units.