Answer:
4082
Step-by-step explanation:
Given
The composite object
Required
The volume
The object is a mix of a cone and a hemisphere
Such that:
<u>Cone</u>
---- radius (r = 20/2)
<u>Hemisphere</u>
The volume of the cone is:
The volume of the hemisphere is:
So, the volume of the object is:
<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>
angle EPF = angle DPG
=> 4x + 48deg = 7x
=> 3x = 48 deg
=> x = 16
=> angle EPF = 4(16) +48 = 112deg
Answer:
304.75 inches
Step-by-step explanation:
Total distance = 101 feet 7 inches
Recall :
1 Feet = 12 inches
Total distance in inches = (101 * 12) + 7 = 1219 inches
Perimeter of square = 1219
Sides of a square are always equal
Number of sides = 4
Hence, length of each side = 1219 inches / 4 = 304.75 inches
