Answer:
Area =
Step-by-step explanation:
The area of the shaded region is equal to the total area of the full square minus the area of the non shaded region.
The area of a rectangle is its base times its high
So A=b*a.
For the full square, A1=
For the non shaded square, A2 =
So the shaded area is A1-A2 =
Answer:
11.183 cm and 22.366 cm
Step-by-step explanation:
Lets call the 25 cm hypotenuse C and the other sides A and B.
B=2A
The Pythagorean theorem states that C^2=A^2+B^2 so:
25^2=A^2+B^2
substitute for B
25^2=A^2+(2A)^2
625=A^2+4A^2
625=5A^2
125=A^2
A=11.183 cm
B=22.366 cm
C) They satisfy equation A but not equation B
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EXPLANATION
4y - 3x = 16
4(0.25) - 3(-5) = 16
1 -3(-5) = 16
1 + 15 = 16
16 = 16
-x - 8y = 3
-5 - 8(0.25) = 3
-5 - 2 = 3
-7 = 3
Doesnt solve equation B
(Please mark me brainliest it would be much appreciated)
Answer:
8/π
Step-by-step explanation:
Volume of the cylinder is:
V = πr²h
Surface area of the cylinder (with square top and bottom) is:
A = 2πrh + 8r²
Use the volume equation to write h in terms of r.
h = V / (πr²)
Substitute into the area equation:
A = 2V / r + 8r²
Take derivative with respect to r.
dA/dr = -2V / r² + 16r
Set to 0 and solve for r.
0 = -2V / r² + 16r
2V / r² = 16r
2V = 16r³
V = 8r³
Plug into the volume equation.
8r³ = πr²h
8r = πh
h / r = 8 / π