First take the amount of drinks and popcorn needed then multiply the amount by the price then see if she has enough money when you finish the multiplying.
The expression that represents the approximate length of BC is; A: (3) sin(66)/sin (38)
<h3>Trigonometric Ratios</h3>
From the given triangle ABC, we see that;
∠A = 66°
∠C = 38°
AB = 3
Thus using sine rule, we have;
AB/sin C = BC/sin A
3/sin 38 = BC/sin 66
BC = (3sin 66)/sin 38
BC = 4.45
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36 is B
37 is H
Do not quote me on this, but I think the first inequality x= any number over 15
And the second one is r=4
Answer:
6^2+8^2=10^2
5^2+x^2=6^2
Step-by-step explanation:
The maximum value of P = x + 6y subject to the constraints is 9
<h3>How to determine the maximum value?</h3>
The objective function is given as:
P = x + 6y
The constraints are given as:
2x + 4y ≤ 10
x + 9y ≤ 12
x≥0 y≥0
Rewrite 2x + 4y ≤ 10 and x + 9y ≤ 12 as equations
2x + 4y = 10
x + 9y = 12
Divide 2x + 4y = 10 through by 2
x + 2y = 5
Subtract x + 2y = 5 from x + 9y = 12
x - x + 9y - 2y = 12 - 5
Evaluate the difference
7y = 7
Divide by 7
y = 1
Substitute y = 1 in x + 2y = 5
x + 2(1) = 5
Solve for x
x = 3
So, we have
(x, y) = (3, 1)
Substitute (x, y) = (3, 1) in P = x + 6y
P = 3 + 6 * 1
Evaluate
P = 9
Hence, the maximum value of P = x + 6y subject to the constraints is 9
Read more about objective function at:
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