Neil Rubin owns 200 shares of Cleveland Company stock. The stock ranged from a low of $42.35 to a high of $48.56 last year. The
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Based on the calculations, the depth of tent is equal to 12 feet.
<h3>How to calculate the depth of the tent?</h3>Based on the diagram (see attachment) and information provided, we can logically deduce the following parameters (points):
- Triangle ABC is an isosceles triangle (AB = AC).
- The front and back of the triangle are identical triangles.
- Side AD is perpendicular side BC.
- CD is the midpoint of BC i.e CD = BC/2 = 6/2 = 3 feet.
Next, we would determine the height of the right-angled triangle (ADC) by applying Pythagorean theorem:
AC² = AD² + DC²
AD² = AC² - DC²
AD² = 5² - 3²
AD² = 25 - 9
AD² = 16
AD = √16
AD = 4 feet.
Also, we would determine the area of the triangle (ABC):
Area = 1/2 × b × h
<u>Where:</u>
- b is the base area.
- h is the height.
Substituting the given parameters into the formula, we have;
Area = 1/2 × 6 × 4
Area = 12 feet².
Depth of tent = 3 × height of ADC
Depth of tent = 3 × 4
Depth of tent = 12 feet.
Read more on area of triangle here: brainly.com/question/21917592
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We need to find an inequality that represents the possible landing or take of conditions of an aircraft, the required graph and one case where the inequality will be tested.
The required inequality is .
The graph represents the allowable temperature range in which the aircraft can takeoff or land.
The pilot could not have taken off on June 1990, the temperature in Phoenix, Arizona.
Let the temperature be denoted by
The temperature cannot be at or below , so
The temperature cannot be at or above , so
The inequality will be .
In the graph it can be seen that all points between -40 and 118 falls in the shaded region but it will exclude the points -40 and 118.
The graph represents the allowable temperature range in which the aircraft can takeoff or land.
The temperature in June 1990 in Phoenix, Arizona was which is more than
.
Hence, the pilot could not have taken off on this day.
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