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
Answer:
All real numbers are solution for the inequality.
Step-by-step explanation:
Given expression:

Solving the inequality.
Using the distribution.


Adding
to both sides.

We have,

The above statement is always true and thus the inequality has all real number solutions.
The number line graph for the inequality can be shown.
Answer: 8.954 x 10^-15
Step-by-step explanation:
i took a test with this question and this was the answer
Answer:
Answer=44
Step-by-step explanation:
Rectangle: 6x4=24.
Triangle: 4x4=16, and 16/2=8.
Semicircle: Pi x radius squared, so pi x 2 squared is 16.something, and since it's a semicircle, we divide by 2, so it's 8 again.
Overall: 24+8+8=44 cm squared.