(a) The perimeter of the shape is the sum of half a circumference and the diameter itself.
The circumference of a circle with radius is , and since we can write the circumference as
So, half a circumference is
Ad we get the perimeter by addind the diameter:
(b) Given the perimeter, we can solve for :
So, we can divide both sides by the parenthesis and we have
Answer:
trapezoid, quadrilateral, and polygon
Step-by-step explanation:
Answer && Step-by-step explanation:
Simple plug and chug
we know a+b == 6 so replace the set as 6 so:
2(6)+6/6+(6)^2-2
12+1+36-2
49-2
==47
Answer:
A) 16
Step-by-step explanation:
1st sequence: 72-8x
2nd sequence: 58-6x
Set both sequences equal to each other and solve for x:
72-8x=58-6x
14-8x=-6x
14=2x
7=x
x=7
Plug x=7 back into the equation:
72-8(7)=58-6(7)
72-56=58-42
16=16
So the first number that appears in both sequences is 16.
Answer:
k = 36 and r = 8
Step-by-step explanation:
Given that r varies directly as p and inversely as q² then the equation relating them is
r = ← k is the constant of variation
To find k use the condition r = 27 when p 3 and q = 2, thus
27 = ( multiply both sides by 4 )
108 = 3k ( divide both sides by 3 )
k = 36
r = ← equation of variation
When p = 2 and q = 3, then
r = = = 8