An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane. Which

Mathematics

1 answer:

spayn [35]1 year ago

7 0

The inequality is solved, and then, the graph is given at the end of this question.

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87 tickets have already been sold.
x can still be sold.
In total, the number of tickets sold is 87 + x.
The airplane can seat 175 passengers, thus, the total can be at most 175, that is:

$87 + x \leq 175$

$x \leq 175 - 87$

$x \leq 88$

The solution is given on a graph at the end of this answer.

A similar problem is given at brainly.com/question/24132092

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What is the area of triangle PQR? Round to the nearest tenth of a square unit.

larisa86 [58]

ANSWER

111.3 square units.

EXPLANATION

The formula for calculating the area of a triangle is.

$Area = \frac{1}{2} \times base \times height$
Let us the side of the triangle with side 12 units to be the base of the triangle.

Then the height of the triangle can be determined from the diagram using trigonometry.

$\sin(68 \degree) = \frac{height}{20 }$

$height = 20 \sin(68 \degree)$

$height = 18.54$

We now plug in the values in to the formula to obtain,

$Area = \frac{1}{2} \times 12 \times 18.54$

$Area = 111.3 \: square \: units$

See graph