<h3><u>
Answer:</u></h3>
Hence, the surface area of cylinder is:
345 square inches.
<h3><u>
Step-by-step explanation:</u></h3>
We are given height(h) of the cylinder as: 6 inches.
Also, The diameter(d) of the circular base of the figure is 10 inches.
Hence, the radius(r) of the circular base is given as:

This implies that:

Now, the approximate surface area( SA) of cylinder is given as:

so, on putting value of r,h and
in the formula we have:

Hence, the surface area of cylinder is:
345 square inches.
Answer:
b. The difference in the distance traveled by the tortoise and hare during that time.
Step-by-step explanation:
First the intersection points are found out on the graph. Then the area between the curves is found out.
Putting the values
H(t) = sin(t)
H(t) = sin(1) = 0.01745
T(t) = cos(t),
T(t) = cos(1)= 0.9998
As T(t) ≥ H(t)
Area is found out by taking the integral of it.
Area = Integral ( limit 0 to 0.998) T(t)-H(t) dt
The difference represents how far the turtle is from the hare.
So it represents the difference in the distance traveled by the tortoise and hare during that time.
Answer:
(2,2)=x1,y1
(4,b)=x,y
(6,10)=x2,y2
using midpoint formula,
y=(y1+y2)/2
y=(2+10+)/2
y=6
which makes (4,b)=(4,6)
again,
(4,6)=x1,y1
(6,10)=x2,y2
(a,8)=x,y
using midpoint formulax=(x1+x2)/2
x=(4+6)/2
x=5
which makes (a,8)=(5,8)
Answer: 2. Linear pair postulate
4. 60 + mACB=180
5. mACB=120
6. definition of obtuse angle