The answer to 31,096 + 59,721 is 89,817 so B 89,800 is the best estimate
2nd- The answer to 69,896 - 42,901 is 26,995 so A 26,900 is the best answer
3rd- 630,429 - 27,811 is 602,618 so the best answer(s) would be A 630,400 and C 27,800
Answer:
Step-by-step explanation:
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(34)² = (16)² + BC²
BC = 
= 
= 30 in.
Perimeter of the triangular base = AB + BC + AC
= 16 + 30 + 34
= 80 in
Lateral surface area = 80 × 22
= 1760 in²
Total Surface area = Lateral surface area + 2(Surface area of the triangular base)
Surface area of the triangular base = 
= 
= 240 in²
Total surface area = 1760 + 2(240)
= 1760 + 480
= 2240 in²
Volume = Area of the triangular base × Height
= 240 × 20
= 4800 in³
Answer:
x = -1 y = -1
Step-by-step explanation:
x + 3y = −4
x + 5y = −6
Multiply the first equation by -1
-x - 3y = 4
The add to the second equation to eliminate x
-x - 3y = 4
x + 5y = −6
--------------------
2y = -2
Divide by 2
2y/2 = -2/2
y = -1
Now solve for x
x+3y = -4
x +3(-1) = -4
x -3 = -4
Add 3 to each side
x-3+3 = -4+3
x = -1
That would be 4 gallons every minute!
Also: I don't see a graph..? Is there supposed to be one attached?
Good luck!