Rational numbers are sometimes natural numbers.
We are to solve the total area of the pyramid and this can be done through area addition. We first determine the area of the base using the Heron's formula.
A = √(s)(s - a)(s - b)(s - c)
where s is the semi-perimeter
s = (a + b + c) / 2
Substituting for the base,
s = (12 + 12 + 12)/ 2 = 18
A = (√(18)(18 - 12)(18 - 12)(18 - 12) = 62.35
Then, we note that the faces are just the same, so one of these will have an area of,
s = (10 + 10 + 12) / 2 = 16
A = √(16)(16 - 12)(16 - 10)(16 - 10) = 48
Multiplying this by 3 (because there are 3 faces with these dimensions, we get 144. Finally, adding the area of the base,
total area = 144 + 62.35 = 206.35
Answer:
<em>the unit rate is 0.8x per unit y</em>
<em></em>
Step-by-step explanation:
the proportional relationship is y = 
this means that the constant of proportionality k = 
= 0.8
re-writing, we have
<em>y = 0.8x</em>
<em>therefore, the unit rate is 0.8x per unit y</em>
When x = 1, y = (5 - 3) / -2 = -1 , let x1 = 1 and y1 = -1
2y = 3x - 5
so slope = 3/2
y - y1 = m(x - x1)
y -(-1) = (3/2)(x - 1)
y + 1 = 3/2 ( x - 1) <----- answer
