Answer:
144 units²
Step-by-step explanation:
The net of the right triangular prism consists of 3 rectangles and 2 equal triangles
Let's solve for the area of each:
✔️Area of rectangle 1 = L*W
L = 11
W = 3
Area of rectangle 1 = 11*3 = 33 units²
✔️Area of rectangle 2 = L*W
L = 11
W = 4
Area of rectangle 2 = 11*4 = 44 units²
✔️Area of rectangle 3 = L*W
L = 11
W = 5
Area of rectangle 3 = 11*5 = 55 units²
✔️Area of the two triangles = 2(½*base*height)
base = 4
height = 3
Area of the two traingles = 2(½*4*3)
= 12 units²
✔️Surface area of the right triangle = area of rectangle 1 + area of rectangle 2 + area of rectangle 3 + area of the two triangles
= 33 + 44 + 55 + 12
= 144 units²
Word Problem:
Take a number, <em>x</em>, double it and then take that result away from 10.
Expression:
Answer:
5 12 9
Step-by-step explanation:
Solve the equation of the function for n.
a(n) = 3n - 20
a = 3n - 20
a + 20 = 3n
(a + 20)/3 = n
n = (a + 20)/3
n(a) = (a + 20)/3
Let (a) be the first cat
let (b) be the second cat
a +b=11kg-----(1)
a=b+1500g⇒(1.5 kg)-------(2)
so now u have a system of two unknowns
a=11-b
substitute a in (2)
11-b=b+1.5
11-1.5=2b
2b=9.5
b=9.5/2=4.75
subs. b in (1)
a+b=11
a+4.75=11
a=11-4.75=6.25
so cat (a) is 6.25 kg
and (b) is 4.75 kg
hope I helped
