This triangle is actually a 3-4-5 right triangle. By the Pythagoras Theorem,
, we can see that
are the legs of the triangle, and
is the hypotenuse. Therefore,
, and solving, we get
. Therefore,
1. Reflect over x axis, right 1, up 8
2. Ref. over x, stretch 4 (up and down), up 6
3. Stretch 2 (side to side), left 9, down 5
4. stretch 8 ( s to s), reflect over y, down 4
5. Ref. over x, stretch 2/7 (s to s), up 5
Surface area = 4 pi r^2
where
pi : 3.14 a constant
r : raduis
surface area is the change of volume with respect to raduis
volume = 4/3 pi r^3
dvolume/dr = 4 pi r^2
you can prove the identity with double integration in spherical coordinates or volumes of revolutions and polar coordinates
Answer:
Work in Parenthesis
2. 43.75 (.35*125)
3. 156.4 (.46*340)
4. 117 (.65*180)
5. 54 (.75*72)
6. 550 (99/.18)
7. 375 (345/.92)
8. 260 (143/.55)
9. 300 (141/.47)
Step-by-step explanation:
First 4:
multiply percent by total
alternate: convert % to decimal by /100, then multiply by total
Last 4:
ex. X * 18% = 99, so divide by 18% (or .18)
16x
Step-by-step explanation:
6 increased by 2 --> 6+2
difference of 4 and 2 --> 4-2
first part times the second part --> 6 + 2 (4-2)
times a number --> • x
put it all together --> (6+2)(4-2) • x or 16x
