We have been given that the scale on a trail map is 0.5 cm : 1 km. The straight distance between 2 huts on the trail is 16.9 cm. We are asked to find the actual distance between 2 huts.

We will use proportions to solve our given problem.

$\frac{\text{Actual length}}{\text{Scale length}}=\frac{\text{1 km}}{\text{0.5 cm}}$

$\frac{\text{Actual length}}{\text{16.9 cm}}=\frac{\text{1 km}}{\text{0.5 cm}}$

$\frac{\text{Actual length}}{\text{16.9 cm}}\times \text{16.9 cm}=\frac{\text{1 km}}{\text{0.5 cm}}\times \text{16.9 cm}$

$\text{Actual length}=\frac{\text{1 km}}{\text{0.5}}\times \text{16.9}$

$\text{Actual length}=33.8\text{ km}$

Therefore, the actual distance between both huts is 33.8 km.

6 0

2 years ago

What is the surface area,explain your work

Marianna [84]

The shape is a square pyramid, meaning it has one square face and four triangle faces of equal area. Add these areas together to get the total surface area.

Area of Square + 4*Area of Triangle = SA

Area of Square:
2^2=4

Area of Triangle:
0.5*2*3=3

SA=4+4*3
SA=16 meters squared

8 0

3 years ago

What are the coordinates of the image of her text D after reflection across the X axis

pshichka [43]

To reflect over the x axis you just multiply the y value by -1 . So your answer is (5,3)

6 0

3 years ago

A school board has determined that there should be 3 teachers for every 50 students. How many teachers are needed for an enrollm

Akimi4 [234]

The answer is 159 because 2650*3/50=159

3 0

3 years ago

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