Let us say that:
K = age of Kristen
B = age of Ben
From the problem, we make the equations:
eqtn 1: K + B = 32
eqtn 2: (K – 4) = 2 (B – 4)
Simplifying eqtn 2:
K – 4 = 2 B – 8
K = 2 B – 4
Plugging in this to eqtn 2:
(2 B – 4) + B = 32
3 B – 4 = 32
3 B = 36
B = 12
From eqtn 2:
K = 2 B – 4 = 2 (12) – 4 = 20
So Kristen is 20 while Ben is 12.
Answer:
(4,0)
Step-by-step explanation:
<h3>
Answer: 90 cubic meters</h3>
Each triangle has a base of 10 and height of 3.6
area of triangle = 0.5*base*height = 0.5*10*3.6 = 18 square meters
multiply this with the height of the prism (5 meters) to get 18*5 = 90 cubic meters. I'm using the idea that,
volume of prism = (area of base face)*(height of prism)
The notation "m^3" is shorthand for "cubic meters"
We do not use the other dimensions of 9 m and 7 m.
Answer:
a) 0.86602540378
b) 0.70710678118
c) 0.57735026919
Step-by-step explanation:
