Answer:
volume is 1570 cm³
mass is 12560 g
Step-by-step explanation:
1m = 100 cm
the volume is :
1/4 x 
x 6² x 100 - 1/4 x x 4² x 100
= 900 - 400 { v = 1/4 d²h }
= 500
= 500 x 3.14
= 1570 cm³
the mass of the pipe is:
1570 x 8 = 12560 grams
<h3>
Step-by-step explanation:</h3><h3>(2/3)x - 2 = 7</h3>
(2/3)x = 7 + 2
(2/3)x = 9
2x = 9 × 3
x = 27/2
:. x = 13 1/2
Answer:
B. (1,5) and (5.25, 3.94)
Step-by-step explanation:
The answer is where the 2 equations intersect.
We need to solve the following system of equations:
y = -x^2 + 6x
4y = 21 - x
From the second equation:
x = 21 - 4y
Plug this into the first equation:
y = -(21 - 4y)^2 + 6(21 - 4y)
y = -(441 - 168y + 16y^2)+ 126 - 24y
y = -441 + 168y - 16y^2 + 126 - 24y
16y^2 + y - 168y + 24y + 441 - 126 = 0
16y^2 - 143y + 315 = 0
y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)
y = 5, 3.938
When y = 5:
x = 21 - 4(5) = 1
When y = 3.938
x = 21 - 4(3.938) = 5.25.
