Answer:
Reflection, Translation, and possibly Rotation
<span>The two fires are about 70 feet from each other.
The assumption is that the ground is relatively level and that a right triangle will be made with the three points of the triangle being the ranger, the spot on the ground directly beneath the ranger, and the fire itself. So the distance to the first fire will be:
Calculate the angle. That will be 90° - 11.6° = 78.4°
The distance will be
tan(78.4) = X/60
60 tan(78.4) = X
60 * 4.871620136 = X
292.2972082 = X
And that's how far the 1st fire is from the ranger's station. Now for the 2nd
angle = 90° - 9.4° = 80.6°
60 tan(80.6) = X
60 * 6.040510327 = X
362.4306196 = X
And the distance between the two fires will be the difference in distance from the tower, so
362.4306196 - 292.2972082 = 70.13341146
Rounding to 2 significant figures gives 70 feet.</span>
The inequality is: x*0.75 + 3.00 < 20.00, where x represents the number of miles. When you solve the inequality, you get 22.66 miles. When you round up to 23 miles, you don't satisfy the inequality, so you have to round down to 22 miles.
Answer: (C) 22 miles
Answer:
5749.3 cubic feet
Step-by-step explanation:
The volume of the storage container would be defined by the volume of the shape; a hemisphere
The volume V of a hemisphere is given as
V = 2/3 π r^3
where r is the radius of the hemisphere
Given that the diameter is 28 feet, the radius = 14 feet
hence the volume
= 2/3 * π * 14^3
= 5749.333333
To the nearest tenth
= 5749.3 cubic feet
Cause its a bird and they eat the bigger ones
