<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>
Answer:
<u>207.35 inches</u>
Step-by-step explanation:
The wheel is in the shape of circle. The height, here, basically gives the diameter.
So,
Diameter = 66 in
Radius is half of diameter, so radius is:
66/2 = 33 inches
r = 33
Now, the distance truck travels when 1 rotation is made is the length of the perimeter of the circular wheel, or the circumference.
The formula is:

Where C is circumference
r is the radius
Substituting, we get the answer as:

The distance covered is about <u>207.35 inches</u>
Answer:
41.83°
Step-by-step explanation:
It is given that :
The vertical distance of the UFO from the ground = 60,000 feet
The diagonal distance of the landing area to the UFO = 90,000 feet
In order to find the angle of depression, we have to use the trigonometric ratios, i.e.,




∴ 
= 41.83°
Given:
The vertices of a triangle are R(3, 7), S(-5, -2), and T(3, -5).
To find:
The vertices of the triangle after a reflection over x = -3 and plot the triangle and its image on the graph.
Solution:
If a figure reflected across the line x=a, then



The triangle after a reflection over x = -3. So, the rule of reflection is


The vertices of triangle after reflection are


Similarly,



And,


Therefore, the vertices of triangle after reflection over x=-3 are R'(-9,7), S'(-1,-2) and T'(-3,-5).