The formula for the length of the hypotenuse in a right triangle is \sqrt{a^2+b^2} a 2 +b 2 square root of, a, squared, plus, b, squared, end square root where aaa and bbb are the lengths of the triangle's sides (this formula is derived from the Pythagorean theorem). From the side, a certain ramp has a right-triangular shape. Its height is 303030 centimeters and its horizontal length is 333 meters. What calculation will give us the estimated length of the ramp in meters? Choose 1 Choose 1 (Choice A) A \sqrt{\dfrac{30^2}{100^2}+3^2} 100 2 30 2 +3 2 square root of, start fraction, 30, squared, divided by, 100, squared, end fraction, plus, 3, squared, end square root (Choice B) B \sqrt{30^2+3^2\cdot 100^2} 30 2 +3 2 ⋅100 2 square root of, 30, squared, plus, 3, squared, dot, 100, squared, end square root (Choice C) C \sqrt{30^2\cdot 100^2+3^2} 30 2 ⋅100 2 +3 2 square root of, 30, squared, dot, 100, squared, plus, 3, squared, end square root (Choice D) D \sqrt{30^2+\dfrac{3^2}{100^2}} 30 2 + 100 2 3 2 square root of, 30, squared, plus, start fraction, 3, squared, divided by, 100, squared, end fraction, end square root

answer:

3 bags of apples and 2 bags of oranges.

step-by-step explanation:

ruth is 6 years old

step-by-step explanation:

6 + 24 = 30,   so 6/30 = .2  

if you do 1/5 it also equals .2, so that is the answer.

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.