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Evgesh-ka [11]
4 years ago
11

Find the area of the figure. PLZ HURRY

Mathematics
2 answers:
Alex4 years ago
4 0

Answer:

132 cm²

Step-by-step explanation:

Area = rectangle + trapezoid

(7 × 4) + [½(7 + 19) × 8]

28 + 204

132 cm²

Serjik [45]4 years ago
3 0

Answer:

132 cm²

Step-by-step explanation:

This is a composite figure, so we want to find the area of the top rectangle and the bottom trapezoid and then add those together.

The area of a rectangle is denoted by: A = lw, where l is the length and w is the width. Here, the length is l = 4 and the width is w = 7, so the area is:

A = lw

A = 7 * 4 = 28 cm²

The area of a trapezoid is denoted by: A = \frac{(b_1+b_2)*h}{2}, where b1 and b2 are the bases and h is the height. Here, the two bases are 7 and 19 and the height is h = 8. So, the area is:

A = \frac{(b_1+b_2)*h}{2}

A = \frac{(7+19)*8}{2}=26 *4=104 cm²

Add these together:

28 + 104 = 132 cm²

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Which equation models this problem?
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The ticket price which will maximize the student's council is: C. $3.10.

<h3>What is price?</h3>

Price can be defined as an amount of money which is primarily set by the seller of a product, and it must be paid by a buyer to the seller, so as to enable the acquisition of this product.

Based on the information provided about Valley High School student council, we can logically deduce the following data:

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  • Increase in ticket price = $0.20.
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<h3>How to determine the ticket price?</h3>

Mathematically, the equation which model the profit is given by:

Profit = price × number of tickets sold

P(x) = (2 + 0.2x)(420 - 20x)

P(x) = 840 + 84x - 40x - 4x²

P(x) = -4x² + 44x + 840.

For any quadratic equation with a parabolic curve, the axis of symmetry is given by:

Xmax = -b/2a

Xmax = -44/2(-4)

Xmax = -44/-8.

Xmax = 5.5

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Read more on maximized profit here: brainly.com/question/13800671

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With this equation, you will be able to find the slope. Then you can simply graph it to connect the two dots.

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