Answer:
approx. 905 in³
Step-by-step explanation:
The height is half its radius, and therefore the height is (1/2)(12 in), where 12 in represents half the diameter (24 in).
The formula for the volume of a cylinder of radius r and height h is
V = (1/3)(πr²)(h). Using the values r = 12 in, h = (1/2)(12 in), we get:
V= (1/3)π(12 in)²(6 in), or
V = (1/3)(144 in²)(6 in), or
V = 288π in³, or approx. 905 in³
I wrote the answers in the pictures...
Answer:
A(r) = √2 * r
A(r) Domain is R { r ; r > 0}
Step-by-step explanation:
Diagonals of a square intercept each other in a 90° angle. The four triangles resulting from diagonal interception are equal and are isosceles triangles, with hipotenuse a side of the square
Therefore we apply Pythagoras theorem
Let x be side of square, and r radius of the circle, ( diagonals touch the circle) then
x² = r² + r²
x² = 2r²
x = √2 * r
Now Aea of square is :
A = L² where L is square side
A(r) = √2 * r
Domain of A(r) = R { r, r > 0}
Answer:
2. ad is the angle bisector of angle a
3. ad is perpendicular to bc
4. both are right angles as given
5. common
6. ASA congruence
Answer:
2
Step-by-step explanation:
512^(1/9)
Write 512 as power of 2:
(2^9)^(1/9)
Multiply the exponents:
2^(9 × 1/9)
2^1
2
