<span>Given that one hundred students are asked a survey question as they walk through the front gate at their middle school.

This a representative sample of the schools population because the sampling is random and is not biased.</span>

7 0

3 years ago

Does a triangle with these side lengths exist?<br> 15, 12,9

suter [353]

5,700 resultsAny time

Calculation of the SSS triangle 9 12 15 - Triangle calculator

https://www.triangle-calculator.com/?a=9&b=12&c=15

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known

3 0

3 years ago

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An airplane is flying 600 mph on a horizontal path that will take it directly over an observer. The airplane remains a constant

dezoksy [38]

<h2>Change of the distance between the observer and the airplane when X = 5 miles is 348.84 mph</h2>

Step-by-step explanation:

We have by Pythagoras theorem

Distance between the observer and the airplane² = Horizontal distance² + Altitude²

d² = h² + a²

Here we have

h = X = 5 miles

a = 7 miles

d² = 5² + 7² = 74

d =8.60 miles

$\frac{dh}{dt}=600mph\\\\\frac{da}{dt}=0$

Differentiating d² = h² + a² with respect to time

$2d\frac{dd}{dt}=2h\frac{dh}{dt}+2a\frac{da}{dt}\\\\8.60\frac{dd}{dt}=5\times 600+7\times 0\\\\\frac{dd}{dt}=348.84mph$

Change of the distance between the observer and the airplane when X = 5 miles is 348.84 mph

5 0

4 years ago