The height of the tank must be at least 1 foot, or 12 inches. We know the floor area (which is length x width) must be at least 400 inches. Therefore these minimum dimensions already tell us that the minimum volume is 400 x 12 = 4800 cubic inches. Since we have a maximum of 5000 cubic inches, the volume must be within the range of 4800 - 5000 cubic inches.
We can set the height at exactly 1 ft (or 12 inches). Then we can select length and width that multiply to 400 square inches, for example, L = 40 inches and W = 10 in. This gives us a tank of dimensions 40 x 10 x 12 = 4800 cubic inches, which fits all the criteria.
Triangle ABC has vertices at A(3, 8) , B(11, 8) , and C(9, 12) . Triangle FGH has vertices at F(1, 3) , G(9, 3) , and H(7, 7) .
Alex17521 [72]
Hmm, (x,y)
x is horizontal or left right
y is vertical or up down
so
we see that A to F is move left 2 and down 5
B to G is left 2 and down 5
C to H is left 2 and down 5
so translatete ABC left 2 and down 5 and
translate FGH right 2 and up 5
not 1st option
2nd works
3rd works
4th is false
2nd and 3rd
Answer:
(3x+4)(2x-5)
Step-by-step explanation:
Factor by grouping.
Answer:
Step-by-step explanation:
Y intercepts : 5,-1,3,7,1
X- intercepts: 2,3,1,-1
Its decreasing
It is a negative slope
Maximum : 7 for y
Min : -1
Answer:
sin^2α
Step-by-step explanation:
I will just pose x instead of alpha here to make things simpler
we know that sin^2x = 1 - cos^2x so...
we can rewrite using trigonometric identities (tan = sin/cos)...
