A broadway theatre has 500 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $40, main seats fo
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Perimeter = 16.4 units
Using the heron's formula, Area ≈ 10.4 units².
<h3>What is the Heron's Formula?</h3>The heron's formula is used to find the area of a triangle with known side lengths of all its three sides, a, b, and c. The heron's formula is given as: Area = √[s(s - a)(s - b)(s - c)], where s = half the perimeter of the triangle
s = (a + b + c)/2.
Given the following:
K (-4,-1) ,
L(-2, 2),
M (3,-1)
Use the distance formula, d = , to find KL, LM, and KM.
KL = √[(−2−(−4))² + (2−(−1))²]
KL = √13 ≈ 3.6 units
LM = √[(−2−3)² + (2−(−1))²]
LM = √34 = 5.8 units
KM = √[(−4−3)² + (−1−(−1))²]
KM = √49 = 7 units
Perimeter = 3.6 + 5.8 + 7 = 16.4 units
Semi-perimeter (s) = 1/2(16.4) = 8.2 units
KL = a ≈ 3.6 units
LM = b = 5.8 units
KM = c = 7 units
s = 8.2
Plug in the values into √[s(s - a)(s - b)(s - c)]
Area = √[8.2(8.2 - 3.6)(8.2 - 5.8)(8.2 - 7)]
Area = √[8.2(4.6)(2.4)(1.2)]
Area = √108.6336
Area ≈ 10.4 units²
Learn more about heron's formula on:
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Answer:
See explanation
Step-by-step explanation:
Let x be the number of simple arrangements and y be the number of grand arrangements.
1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so
2. A florist can make a grand arrangement in 18 minutes hour, then he can make y arrangements in
hours.
A florist can make a simple arrangement in 10 minutes hour, so he can make x arrangements in
hours.
The florist can work only 40 hours per week, then
3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.
The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.
Total profit: $(10x+25y)
Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines and
But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is
