Answer:
Step-by-step explanation:
133
102
136
Answer:
Step-by-step explanation:
4. the algebraic representation of the translation is
x+9 and y -4
because for example point (-3, 9) become ( -3+9= 6, 9-4=5)
5.
7 to the left means -7 on the x coordinate and
6 up means +6 on the y coordinate
( x, y ) after translation is ( x-7, y+6)
(12, 3) becomes (12-7= 5, 3+6=9)
(14, 6) becomes (14-7=7, 6+6=12)
(8, 4) becomes(8-7= 1, 4+6=10)
So we know that surface area is top circle +bottom circle+ (circumfurence times height so) 2(π(radius)^2)+(height(2π(r))) so fill in the blanks
it's kind of hard to see but πr means pi times radius (r)
2πr^2+((4.2)(2)(π)(r))=628.3
factor out the 2 so the equation would mean
2((πr^2)+(4.2πr))=628.3
divide both sides by 2
πr^2+4.2πr=314.15
what's interesting is that the first few digits of pi are 3.1415 so we aproximate pi as 3.14 and divide both sides by 3.1415
r^2+4.2r=100
subtract 100 from both sides
r^2+4.2r-100=0
factor
(x-8.11812)(x+12.3181)=0
so (if xy=0 then x or/and y must be 0 so)we set them to 0 so
x-8.11812=0
x=8.11812
second one
x+12.3181=0
x=-12.3181
since radii (or any legnth) cannot be negative, we can cross this solution out so
radius=8.11812
1008 square inches. Just multiply length times width to find a 2 dimensional area.
