The hypotenuse angle theorem<span> basically states that if the hypotenuse and an acute angle of one right triangle</span><span> are congruent to the </span>hypotenuse<span> and an acute </span>angle<span> of another right triangle, then the two triangles are congruent.
So I would say D is correct</span>
Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit
<h3>How to determine how many bead of each type of bracelets and necklaces should Christy make to maximize his profit?</h3>
The given parameters can be represented in the following tabular form:
Bracelet (x) Necklace (y) Total
Labor (hour) 0.5 0.75 40
Profit 10 18
From the above table, we have the following:
Objective function:
Max P = 10x + 18y
Subject to:
0.5x + 0.75y <= 40
Because she wants to make at least 30 bracelets, we have:
x >= 30
So, we have:
Max P = 10x + 18y
Subject to:
0.5x + 0.75y <= 40
x >= 30
Express x >= 30 as equation
x = 30
Substitute x = 30 in 0.5x + 0.75y <= 40
0.5 * 30 + 0.75y <= 40
This gives
15 + 0.75y <= 40
Subtract 15 from both sides
0.75y <= 30
Divide by 0.75
y <= 40
Hence, Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit
Read more about maximizing profits at:
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Answer:
i think -14.5
Step-by-step explanation:
Answer: the answer is C
Step-by-step explanation:
Answer:
Step-by-step explanation:
X^2=-y^2+10y+5