Going to put your function in slope-intercept form for the sake of easier input into Desmos.
y - 2 = - (x + 5)
y - 2 = - x - 5
y = - x - 5 + 2
y = - x - 3
V=x^3+5x^2-57x-189
Width: W=(x+3) in = 15 in →x+3=15
Solving for x:
x+3-3=15-3→x=12
With x=12 the Volume would be:
V=(12)^3+5(12)^2-57(12)-189
V=1,728+5(144)-684-189
V=1,728+720-684-189
V=1,575
V=W*D*H
Depth: D
Height: H
with H>D
V=1,575; W=15
Replacing in the equation above:
1,575=15*D*H
Dividing both sides by 15
1,575/15=(12*D*H)/15
105=D*H
3*5*7=D*H
D<H
If D=5→H=3*7→H=21
If D=7→H=3*5→H=15
Answer: Option <span>C. height: 21 in. depth: 5 in.
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Please, see the attached file for another form to solve the problem
Answer:
see attached
Step-by-step explanation:
Each digit of the quotient is aligned with the least significant digit of the current dividend. The "current dividend" is that portion of the remaining dividend that is at least 1 and less than 10 times the divisor. The product of the quotient digit and the divisor is subtracted from the "current dividend" to get the remaining dividend.
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For many folks, the hardest part of this algorithm is determining the appropriate quotient digit, and multiplying that by the divisor. Some teachers teach that you start this process by making a list of the multiples of the divisor:
N . . . 28N
1 28
2 56
3 84
4 112
...
This process can be aided by your number sense.
2N is simply N added to itself.
3N is N+2N.
4N is double 2N
5N is half of 10N.
You can proceed to build the table by adding 28 to each previous value, or by recognizing doubles and halves and other sums.
The angle of elevation from point C to point A is 
<em><u>Solution:</u></em>
Given that we have to find the angle of elevation from point C to Point A
Given in figure that, angle A = 
Given is a right angled triangle ABC where angle B = 
We have to find angle C
The angle sum property of a triangle states that the angles of a triangle always add up to 180°
Therefore, in given triangle ABC
angle A + angle B + angle C = 180


Therefore angle C = 
The value of 5 would be Billion