Answer:
see explanation
Step-by-step explanation:
Given that p varies directly as s² and inversely as r then the equation relating them is
p = ← k is the constant of variation
To find k use the condition when s = 6, r = 3 and p = 48, that is
48 = ( multiply both sides by 3 to clear the fraction
144 = 36k ( divide both sides by 36 )
4 = k , thus
p = ← equation of variation
When s = 10 and r = 5 , then
p = =
= 80
let's recall that in an isosceles triangle, the twin sides make twin angles at the bottom/base, so on the triangle on the left-side, if the "vertex" atop has an angle of 116°, then the twin sides below are simply 180° - 116 = 64, split that in half and that's 32° each.
The same is true for the isosceles triangle on the right side. Also recall that a flat-line is always 180°, 32 + 72 + 76 = 180.
Check the picture below.
Answer:
Step-by-step explanation:
Simplified becomes;
Simplifying further gives;