Answer:
Step-by-step explanation:
Givens
pi = 3.14
d = 10 cm
h = 2*d
Formula
- The top of the cylinder is a solid circle. So the area of the circle is pi r^2
- There is both a top and bottom to the circle so the fomula is 2*pi*r^2
- The surrounding area of the cylinder is the circumference of the circle times the height. The circumference of the circle is 2*pi*r.
- Then you just multiply by the height.
- formula = 2*pi * r * h
The combined formula is given below.
SA = 2*pi*r^2 + 2*pi*r * h
Conversions
d = 10 cm
h = 2*10
h = 20 cm
r = d/2
r = 10 / 2
r = 5cm
Solution
SA = 2*pi*r^2 + 2*pi*r * h
SA = 2*3.14*5^2 + 2*3.14*5*20
SA = 157 + 628
SA = 785 cm^2
Answer: The surface area is 785 cm^2
Answer:
x = 5 and y = 3
Step-by-step explanation
y crosses out so you are left with
4x = 20 (divide by 4)
x = 5
plug x into either equation
5 + y = 8 (subtract 5)
y = 3
Width=w
length=(40-2w)/2=20-w
A=w(40-w)
A=40w-w²
A'=40-2w=0
2w=40
w=20
20x20 is the size of the pen having the greatest area. this tells us the largest rectangle for a given perimeter is a square
STU + STR = 180
8x + STR = 180 [ STU = 8x ]
STR = 180 - 8x
STR = SRT [ RS ≈ ST ]
Now, In ΔSRT,
we have, RST = 7x - 54, STR = SRT = 180-8x
Their sum is 180, as it constitutes a triangle.
7x-54 + 2(180-8x) = 180
7x - 54 + 360 - 16x = 180
306 - 9x = 180
9x = 306 - 180
9x = 306 - 180
x = 126/9
x = 14
So, option A is your answer.
Hope this helps!
Answer:
4x?y*[2x2y)
Step-by-step explanation:
