Answer:
P = 0.09r²
Step-by-step explanation:
Price, p is proportional to the square of its radius, r
P = k*r²
a mirror with radius 20cm has a price of £36
P = k * r²
36 = k * 20²
36 = k * 400
36 = 400k
k = 36/400
k = 0.09
Substitute the value of k into the equation:
P = k * r²
P = 0.09 * r²
P = 0.09r²
Answer:
{-6, 12}
Step-by-step explanation:
Assuming that you meant (1/3), then you have:
(1/3)|3x - 9| - 5 = 4
First, let's combine the -5 and the +4:
(1/3)|3x - 9| = 9
Next, multipy both sides by 3 to eliminate the fraction 1/3:
|3x - 9| = 27
This absolute value equation has two separate parts:
3x - 9 = 27, and
-(3x - 9) = 27.
In the first case, we have x - 3 = 9, or x = 12.
In the second case, we have -3x + 9 = 27, or -3x = 18, or x = -6.
The solution set is {-6, 12}.
2pi/3
Step-by-step explanation:
the period is 2pi/3
The perimeter is about 82 yards
first, the perimeter of the rectangles is 30*2 = 60 (the 7 is not a part of the overall perimeter so we do not need to add it)
the "perimeter" (circumference) of the 2 semi circles = (22/7)*7 = 22by using the formula C = pi*d (2 semi circles of the same diamter = 1 circle)
now just add the 2 answers
22 + 60
= 82 yards