Desperate for help, please!
Maths!

c) m = 5p-4

Explanation:

Given that function A is : x → +4 → ×2.

A(x) = 2(x+4).

Given that function B is: x → ÷5 → +1.

B(x) = x/5 + 1.

To find the working variables for:

m → Function A → Function B → 2p + 1.

Create this composite function: B(A(x)) = 2(x+4)/5 + 1

Then set x equal to m and solve for the working equation to 2p + 1

(simplify)

2(m+4)/5 + 1 = 2p + 1

-1 -1

2(m+4)/5 = 2p

÷2 ÷2

(m+4)/5 = p

×5 ×5

(m+4) = 5p

-4 -4

m = 5p - 4

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse

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.