Answer:
A(x) = (24 -2x)√(6(x -6))
Step-by-step explanation:
Heron's formula for the area of a triangle in terms of sides a, b, and c is ...
A = √(s(s -a)(s -b)(s -c))
where s is the semi-perimeter.
Here, we have s = 24/2 = 12, and a = b = x, c = 24-2x. So, the area is ...
A = √(12(12 -x)(12 -x)(12 -(24 -2x)) = (12 -x)√(12(2x -12))
A = 2(12 -x)√(6(x -6))
With each line, a slope-intercept relationship (4,-1) and (-2,-1).
Y = 0 ,X = 5.
<h3>What is slope-intercept form?</h3>
The slope-intercept form is just a means of stating a line's equation so that both the slope (steepness) as well as y-intercept (where another line crosses this same vertical y-axis) are obvious. This expression is frequently referred to as y = mx + b.
<h3>According to the given information:</h3>
To begin, are using the slope formula to figure out the average slope between two points here.
Let:
x1 = 4
y1 = -1
x2 = -2
y2 = -1
m = (y2-y1)/(x2-x1)
= (-1 - (-1))/ (4-(-1))
= 0/5
= 0
So the slope is 0.
We must now calculate the y-intercept. This will be accomplished by converting a single of the points and also the slope together into a point-slope linear equation. y2-y1 = m(x2-x1).
Let’s plug in the point (5,0).
So we get y-(-0) = (0/5)(x-(-5)) ⇒ y+0
= (0/5)x + 0 ⇒ y
So,
Y = 0
X = 5
with each line, a slope-intercept relationship (4,-1) and (-2,-1).
Y = 0 ,X = 5
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Answer:
direct distance = 65,644.07 feet
horizontal distance = 65,154.77 feet
Step-by-step explanation:
The angle of depression is the angle that the airplane does with the horizontal plane.
So, if this angle is 7° and the airplane is at an altitude if 8000 feet, we can find the direct distance and the horizontal distance using the tangent and the sine relations of the angle.
In the tangent of the angle, the opposite side will be the height of the airplane, and the adjacent side will be the horizontal distance (hd), so:
tangent(7) = 8000 / hd
hd = 8000 / tangent(7) = 65,154.77 feet
In the sine of the angle, the opposite side will be the height of the airplane, and the hypotenusa will be the direct distance (d), so:
sine(7) = 8000 / d
d = 8000 / sine(7) = 65,644.07 feet
Answer:
Total inventory: $175,000
Inventory in the stockroom: $35,000.
Inventory on the selling floor: $140,000.
Step-by-step explanation:
Let x be the the total inventory.
We have been given that in the Holiday Shop the manager wants 20% of the total inventory in the stockroom. You placed $35,000 of inventory in the stockroom.
We can set an equation such that 20% of x equals $35,000.
Since $35,000 of inventory in the stockroom, so we will subtract $35,000 from $175,000.
Therefore, $140,000 of the inventory on the selling floor.
