Answer:
228.4cm²
Step-by-step explanation:
Find the diagram attached
Total surface area of the prism = Ph + 2B
P is the perimeter of the base (triangle)
h is the height of the prism
B is Base area
P = 5cm + 5cm + 4cm
P = 14cm
h = 15cm
B = 1/2 * base * height
B = 1/2 * 4.6 * 4
B = 4.6 * 2
B = 9.2cm²
Substitute the values into the formula;
Total surface area of the prism = Ph + 2B
Total surface area of the prism = 14(15)+2(9.2)
Total surface area of the prism = 210 + 18.4
Total surface area of the prism = 228.4cm²
Hence the total surface area of the triangular prism is 228.4cm²
You need to make a series of equations from what you are given first. I am going to use the first letter of each of the names to represent the length of that persons wire.
1/2s=2/5d
3c=s
s+d+c=6 ft
Okay. Now you can combine the first two equations knowing what s equals:
1/2(3c)=2/5d
d=15c/4
Now you have d=15c/4 and s=3c, so you can replace d and s in the third equation.
3c+15c/4+c=6
Then solve for c and plug it into the equation 3c=s to find the length of sarah's wire.
Answer:
one solution
Step-by-step explanation:
-2x - 4 = x - 5
-3x - 4 = -5
-3x = -1
x = 1/3
y = 1/3 - 5
y = 1/3 - 15/3
y = -14/3
(1/3, -14/3)
Answer:
x=5
y=1
z=2
Step-by-step explanation:
x+2y+z=9
3x+y+4z=24
x+3y+z=10
Let m = minutes of commercial
30/90 = 8/m
Solve for m.
90(8) = 30m
720 = 30m
720/30 = m
24 = m
