Answer:
Explanation:
We have triagle ABC bisected by angle AD, like is shown in the image.
A bisector angle is a line which cuts an angle into two equal halves.
So:
BC = BD + DC ∴ 19 =BD + DC ⇒ BD = 19 - DC (1) because D cuts BC in 2 parts.
By angle bisector theorem: the ratio of any 2 sides of a triagle is equal to the ratio of the lenths formed on its third side by the anfle bisectorof the anfle formed by those 2 sides:
(2) read: side AB is BD as AC is to DC
Clear DC:
(3)
we know: AC = 24, BD = 19 - DC (from (1)) and AB = 16
replacing all the values:
(4)
for (4) in (1)
BD = 19 - 
=
(5)
They should sell the info and make that cash cash money
The answer is, Fertilizer A = 20, Fertilizer B = 56.
<h3>What is fertilizer and example?</h3>
- Among the organic fertilizers that occur naturally are manure, slurry, worm castings, peat, seaweed, and guano. Crops made of green manure are also raised to enrich the soil with nutrients.
- Organic fertilizers also include naturally occurring minerals including mine rock phosphate, sulfate of potash, and limestone.
<h3>Set up the equations:</h3>
- Nitrogen: 8x + 5y ≥ 440.
- Phosphorous: 2x + 5y ≥ 260.
- Potassium: 4x + 5y ≥ 360.
<h3>Find the vertices:</h3>
- It is easiest to graph the equations to find the vertices. (see attachment).
- You can also solve each system of equations to find the intersected points.
<h3>The following satisfy the "greater than or equal to" requirement:</h3>
- (0, 88) = y-intercept of Nitrogen equation.
- (20, 56) = intersection of Nitrogen and Potassium equations.
- (50, 32) = intersection of Phosphorous and Potassium.
- (130, 0) = x-intercept of Potassium.
<h3>Use vertices in cost function C(x) to find the minimum:</h3>
- C(x) = $30x + $20y.
- (0, 88): $30(0) + $20(88) = $1760.
- (20, 56): $30(20) + $20(56) = $1720 = This is the minimum!
- (50, 32): $30(50) + $20(32) = $2140.
- (130, 0): $30(130) + $20(0) = $3900.
The minimum cost occurs when 20 bags of Fertilizer A and 56 bags of Fertilizer B are purchased.
Learn more about Fertilizer here:
brainly.com/question/3204813
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Ownership of a key natural resource is one of the many reasons a firm can have a natural monopoly. Patents cause government created monopolies not...
Answer:
Wednesday
Explanation:
Jack has 3 days avaialable
Monday Coletter can't
Wednesdat Colette can and you can because you can meet any day
Friday Colette also can.
and you too as well. But it is not an option
So, unless there is something missing the only viable option would be wednesday
