longer leg of triangle = sqrt(20^2 - 10^2) = 10sqrt(3)
Volume = Base * Height
= (10 * 10sqrt(3)/2) * 16
= 800sqrt(3) ft^3 or 1358.64 ft^3
This is a repeat question.
(3.5/6) + (9/4) + 12
= 7/12 + 27/12 + 144/12
= 178/12
= 89/6.
Repeat thread, with much funnier answers here: https://web2.0calc.com/questions/question_90607
However, 9 + 10 = 19.
The composite figure is made of a rectangular prism and half of a cylinder.
prism volume = 5 * 11 * 6 = 330 mm^3
half cylinder volume = 1/2 * pi * (5/2)^2 * 11 = 34.375pi mm^3 = 108 mm^3
Total: 330 + 108 = 438 mm^3
7x - 3y = 21
-3y = -7x + 21
y = 7x/3 - 7
slope = 7/3
1 - x^2 >= 0
-x^2 >= -1
x^2 <= 1
sqrt(x) >= 0 ===> x > 0
Domain: [0, 1)
y = a(x - 4)(x + 3) = a(x^2 - x - 12)
Plug in the point (3, -12)
-12 = a(9 - 3 - 12)
-12 = -6a
a = 2
y = 2(x^2 - x - 12) = 2x^2 - 2x - 24
surface area = 2(triangle) + (3 different rectangles)
= 2(14 * 12/2) + (16*10) + (20*10) + (12 * 10)
= 168 + 160 + 200 + 120
= 648
This is the third out of 3 times this problem has been posted.
https://web2.0calc.com/questions/math_906#r1
This is the second out of 3 times that this problem has been posted.
