Since A = bh
and A = 198 and b = 18?
h = A/b
= 198/18
= 11
Answer:
17/18
Step-by-step explanation:
- 2
9
–
- 7
6
=
-2 × 2
9 × 2
–
-7 × 3
6 × 3
=
-4
18
–
-21
18
=
-4 – -21
18
=
17
18
Answer:
angle Q = angle S, angle R = angle R, angle P = angle T
Step-by-step explanation:
Answer:
So I add 20** First , & took away 3 because it says the rocket lost 3 of the 20** Games , & he lost 17 if you take away it you will have to do 3-20 & you will get _17
Step-by-step explanation:
20-3 =17 he lost 17 .
1) To make a rectangular box you need to cut squares from the four corners of the rectangular sheet.
2) Call x the length of the sides of the squares cut off.
3) The base of the box will have dimensions: (13 - 2x) and (8 - 2x)
4) The height of the box will be x
5) The volume of the box will be the area of the base times the height:
Volume = (13 - 2x)(8 -2x)x = (4x^2 - 42x + 104)x = 4x^3 - 42x^2 + 104x
6) The maximum volume is calculated by finding the point where the derivative of the volume is zero =>
d (volume) / dx = 12x^2 - 84x + 104 = 0
7) Solve the quadratic equation 12x^2 - 84x + 104 = 0
=> 4(3x^2 - 21x + 26) = 0
=> 3x^2 - 21x + 26 = 0
=> 3 (x^2 - 7x) + 26 = 0
=> 3 [(x - 7/2)^2 - (7/2)^2] + 26 = 0
=> 3 (x - 7/2)^2 - 3* 49/4 + 26 = 0
=> 3 (x - 7/2)^2 = 3*49/4 - 26
=> (x -7/2)^2 = (49/4 - 26/3)
=> x = 7/2 +/- √(49/4 - 26/3)
x = 7/2 + √3.583 and x = 7/2 - √3.583
x = 5.393 and x = 1.607
=> Volume =
1) 4(5.393)^3 - 42(5.393)^2 + 104(5.393) = -33.26 ---> it does not have physical meaning
2) 4(1.607)^3 - 42(1.607)^2 + 104(1.607) = 75.27 ---> this is the answer
Answer: 75.27 in^3
