We know that
Pia printed two trail maps:
Trail on the first map = 8 cm
Trail on the second map = 6 cm
Scale on first map = 1 cm : 2 km
A) What is the scale factor from the map to the actual trail?
For the first map, the scale factor is 1 cm: 2km.
Therefore
the actual trail is 8 centimeters * 2 kilometers = 16 km.
The scale factor of the second map is 16 km / 6 cm = 2.67 km / cm
the scale on the 2nd map is 1 cm represent 2.67 km in the actual trail
B) The length of the actual trail is 16 kilometers.
C) What is the scale factor from the first map to the second map?
=2/2.67---------> 0.75 km/km
the scale factor from the first map to the second map is 0.75 km in the first map is 1 km in the second map
D) What are the side lengths of the landmark on the second map?
we know that
in the first map the side lengths of the landmark are 3 mm, 4 mm, and 5 mm
step 1
convert mm in the map1 to Km in the actual
the scale factor is 1 cm: 2km
for 3 mm--------> 0.3 cm
1 cm------------> 2 km
0.3 cm---------> X
X=0.3*2-------> 0.6 km
for 4 mm--------> 0.4 cm
1 cm------------> 2 km
0.4 cm---------> X
X=0.4*2-------> 0.8 km
for 5 mm--------> 0.5 cm
1 cm------------> 2 km
0.5 cm---------> X
X=0.5*2-------> 1 km
step 2
convert Km in the actual to cm in the map 2
the scale on the 2nd map is 1 cm represent 2.67 km in the actual trail
for 0.6 km
1 cm------------> 2.67 km
X-----------------> 0.6 Km
X=0.6/2.67---------> x=0.2247 cm------> 2.25 mm
for 0.8 km
1 cm------------> 2.67 km
X-----------------> 0.8 Km
X=0.8/2.67---------> x=0.2996 cm------> 3 mm
for 1 km
1 cm------------> 2.67 km
X-----------------> 1 Km
X=1/2.67---------> x=0.3745 cm------> 3.75 mm
the answer Part D) is
the side lengths of the landmark on the second map are
2.25 mm 3 mm and 3.75 mm
Applying the distance formula, to calculate the coordinates of B, use: 3 =√[(x-4)² + (y-2)²]
<h3>What is the Distance Formula?</h3>
The distance formula, 
, is used to find the distance between two points on a coordinate plane.
We are given one point A(4, 2), let:
B (x, y) = (x2, y2)
A(4, 2) = (x1, y1)
d = 3 units
Plug in the values into the distance formula to find how to calculate the coordinates of B:
3 =√[(x-4)² + (y-2)²]
Learn more about the distance formula on:
brainly.com/question/661229
#SPJ1
Answer:
39.25 cubic feet of paint will be needed by Ellis.
Step-by-step explanation:
Step-by-step explanation:
Volume of a cylinder:
The volume of a cylinder of radius r and height h is given by:
V = \pi r^2h = 3.14r^2h
How much paint will Ellis need to paint all the surfaces of the 10 fenceposts?
This is the combined volume of these 10 fenceposts.
They are each 5 feet tall and have a diameter of 1 foot.
Radius is half the diameter, so r = \frac{1}{2} = 0.5. Also h = 5
10 fenceposts:
Each has the same volume, so:
V = 10(3.14)r^2h = 31.4(0.5)^2(5) = 39.25
39.25 cubic feet of paint will be needed by Ellis.
hope this helps
